Thermal conductivity of given test materials –Single plate method
Page 1 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
OBJECTIVE
Page 2 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
To determine the thermal resistance and thermal conductivity of the given different building materials and
understand the heat conduction process involved.
WORKING PRINCIPLE
A known rate of heat is conducted through a specimen of the material in the form of a slab of cross
sectional area ‘A’ placed between an electric heat source generating heat supply at a constant rate and heat sink (cold
fluid chamber or cooler). The entire assembly is embedded in low conductivity insulation in order to minimize lateral heat
leakage from the exposed surface of the specimen.
PROCEDURE
1. Make sure that the heat flux sensor and the thermocouples for Th and Tc are connected to the display unit
2. Check the water supply and water hoses for incoming water and outgoing water in the cooler unit.
3. In order to insert specimen, turn the spindle anti-clockwise and lifting the heater plate. Place the specimen to be tested
on the cooling plate via the front of the unit.
4. Then clamp the specimen in between the heater plate and cooling plate.
5. Switch on the unit using the main switch. Make sure that the temperature set point on Th is set to 50oC, and then switch
on the heater.
6. Note the temperature readings at frequent intervals till consecutive readings are same indicating that steady state has
been reached.
7. After your experimental work, turn off water supply & main switch and then turn the spindle clockwise and lifting the
heater plate to remove the specimen(s).
Page 3 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
FORMULAE
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Heat Transfer Lab (CHEE3101P) 16 Jan 2019
The Fourier’s law of heat conduction is given by
dT
dX = − k A
Where,
temperature
quantity of heat conducted per unit time,
=
=
area of cross section normal to the direction of heat flow [m2] dT
thermal conductivity
=
thickness of test material thickness, [m] k
=
A
= drop,(Th – Tc) [o C] dX
of the material, [W/moC]
EXPERIMENTAL LAYOUT
Page 5
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Time, t
in min
Heat
Flux
/A =q
(W/m²)
Hot Plate
Temperature
Th (ºC)
Cold Plate
Temperature
Tc (ºC)
0
2
4
6
8
10
12
14
16
18
20
Sl.
No
Test
Sample
Heat
Flux
/A =q
(W/m²)
Thermocouple Readings, [ o C]
Hot Plate
Cold Plate
Temperature
Temperature
Temperature
difference
(Th)
(Tc)
(dT)
Thermal
Thermal
conductivity
Resistance
( k)
(Rth)
[W/moC]
[oC/W]
1
2
Page 6
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
TABLE OF MEASUREMENTS
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Heat Transfer Lab (CHEE3101P) 16 Jan 2019
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Heat Transfer Lab (CHEE3101P) 16 Jan 2019
of 80
Test material
Dimension
Polystyrene (Expanded)
Poly oxyethylene (POM)
300×300 mm
300×300 mm
Maximum service
temperature °C
60
100
Plaster
Corkboard
PMMA
Armaflex
300×300 mm
300×300 mm
300×300 mm
300×300 mm
100
80
80
70
Page 9
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Figure. 2 Temperature distribution along the Length (heat transfer direction) of slab*
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Heat Transfer Lab (CHEE3101P) 16 Jan 2019
[*A straight line is drawn to fit the data and its slope gives the temperature gradient]
Specification of the test materials
1. Thickness of test sample, dX
=
m
2. Area of the test sample, A
=
m2
Page 11
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
MODEL
k
CALCULATION
Q
,
=
A
dTdX
=
=
Rth
o
C/W
dX
=
k.A
=
=
Page 12
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
S.
No.
Test Material
Page 13 of 80
Heat Flux
Thermal conductivity, k
(W/m2)
= Q/A(ΔT/ΔX)
1
2
Remarks of the Faculty in-charge:
Page 13
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Date:
Faculty Signature:
Page 14
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
TABLE OF RESULTS
Page 15
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
ANALYSIS OF RESULTS /
CONCLUSIONS
1.
2
Page 16
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
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Heat Transfer Lab (CHEE3101P) 16 Jan 2019
. Forced convection heat transfer in a vertical stainless steel plate
Obtained Mark
OBJECTIVE
To determine the heat transfer coefficient between the given fluid and the solid surface and thereby
compare the heat transfer coefficient with fluid velocity.
EXPERIMENTAL SET UP
The experimental unit consists of a vertical plate made of S.S material enclosed in a rectangular duct open
at both top and bottom. The duct is of sufficient dimensions as not to interfere with the convection process while
at the same time preventing external disturbances to affect the data. The blower/ fan is mounted on the top or
bottom of the duct to enhance the fluid flow over the plate and velocity is measured by anemometer. The surface
temperature of the plate and ambient temperature is measured using thermocouples. The surface of the plate is
polished to minimize radiation heat losses.
SPECIFICATION
Stainless steel plate: height =
mm
width =
mm
PROCEDURE
1. The system is switched on.
2. The amount of heat input is measured by using the wattmeter.
3. The blower is switched on and a particular amount of air flow is fixed.
4. The system is allowed to reach the steady state and the temperatures for the plate and surrounding fluid
medium are noted.
5. The above procedure is repeated for various air flow rates, keeping the heater input same.
FORMULAE
For a vertical plate transferring heat to the surroundings with the aid of velocity at constant heat flux, the following
empirical relations hold.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 2 of 11
Nux
=
0.453 Re L0.5 . Pr 0.333
for
Re < 5 x 105
(Laminar flow)
Nux
=
0.031 Re L0.8 . Pr 0.33
for 105 < Re < 107
(Turbulent flow)
Reynolds number,
= V L along flow / γ
Re
Where γ
V
= kinematic viscosity, m2/s
= velocity of air through the duct,
m/s
All the properties for air are evaluated at the film temperature given by
Tf
Ts
=
+T =
Heat Transfer Lab (MIME4212P) 16 Jan 2019
oC
Page 3 of 11
2
EXPERIMENTAL LAYOUT
TABLE OF MEASUREMENTS
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 4 of 11
Sl.No
Rate of heat flow
Fluid velocity Surface
temperature
(V)
( )
watt
(Ts)
m/s
oC
Ambient
Temp.Diff
Temperature
T
(T∞ )
oC
1.
2.
3.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 5 of 11
oC
CALCULATIONS: (for reading no:
)
Velocity of the air through the duct,
V
=
m/s
Mean film temperature, Tf = Ts +T =
2
oC
Properties of air at Tf are as follows:
k
γ
Pr
=
=
W/m oC
m2/s
=
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 6 of 11
γ
Reynolds number,
Re
=VL/
=
=
=
=
=
=
hemp L / k
(W/m2 oC)
Nux
Nux k / L
=
=
Nux
W/m2 oC
=
Nux
hx
hx
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 7 of 11
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 36 of 80
TABLE OF RESULTS:
The local heat transfer coefficient was determined under forced convection mode for
various air flow rates and the results are given below.
S.
Heat input
Velocity
Re
Nux
No.
Q (W)
V (m/s)
1.
2.
3.
ANALYSIS OF RESULTS
1.
2
.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 8 of 11
hx
(W/m2K)
Remarks of the Faculty in-charge:
Date:
Signature:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 9 of 11
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 10 of 11
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 11 of 11
EXPERIMENT 7: Counter flow type Double pipe heat exchanger- Energy balance
and overall efficiency.
Introduction:
Double pipe heat exchanger is a device used to exchange/transfer heat from one
fluid to another without mixing of the two fluids. It consists of two pipes; one pipe
with a hot fluid (small diameter) and another pipe with a cold fluid (larger
diameter). The small pipe is held inside the larger pipe. As the cold and hot fluids
are allowed to flow there will be a heat transfer from hot temperature to cold
temperature therefore there should be an energy balance where; heat lost by hot
fluid equals heat gained by the cold fluid. This is theoretical.
There are two types of flows in double pipe heat exchanger; counter-current flow
or co-current flow. Counter-current flow is when both fluids flow in opposite
directions with each other while co-current flow both fluids flow in the same
direction (parallel).
The objective of this experiment is to determine the overall efficiency of the
double pipe heat exchanger at varying fluid flow rates.
Efficiency
= Qc / Qh
Qh = mh * Cph * ▲Th (heat lost by hot fluid)
Qc = mc * Cpc * ▲Tc
(heat gained by cold fluid)
Where; m = mass of the respective fluids
Cp = specific heat capacity of the respective fluids
▲T = change in temperature of the respective fluids.
Materials:
Double pipe heat exchanger device.
In our experiment this device will be aided by a computer software program
service.
Results and Calculations:
Volume flow rate of hot fluid is fixed. The fluid used in both pipes is water.
Observation table:
HOT FLUID
Valve
%
COLD FLUID
Volume
flow
rate
lits/min
Inlet
temp
0
C
T1
Mid
temp
0
C
T2
Outlet
temp
0
C T3
Volume
flow
rate
lits/min
Inlet
temp
0
C
Mid
temp
0
C
Outlet
temp
0
C
T4
T5
T6
50
3.5
47.7
45.0
43.0
3.28
24.6
26.5
28.7
60
3.5
56.7
53.0
50.0
3.43
24.4
27.0
30.0
70
3.5
55.6
52.1
49.2
3.54
24.5
26.8
29.6
80
3.5
55.1
51.7
48.8
3.81
25.1
27.2
29.8
Calculations:
Mass flow rate (kg/s) = volume flow rate (m3 / s) * density of fluid (kg/m3)
(Lit/min * 1.667*10-5)= m3/s
Reading no 1:
At T2 of 450C for hot fluid: ρh = 990.1kg/m3, Cph = 4180 J/ kg. K mh
= (3.5*1.667*10-5) * 990.1 = 0.058 kg/s
Qh = mh * Cph * ▲Th
Qh = (0.058)*(4180)*(4.7)
Qh = 1139.5 J /s (W)
At T5 of 26.50C for cold fluid
Temperature 0C
ρc (kg/m3)
Cpc (J/kg. K)
Upper limit
30
996.0
4178
Lower limit
25
997.0
4180
T5
26.5
993.6
4173.3
mc = (3.28*1.667*10-5) * 993.6 = 0.054kg/s
Qc = mc * Cpc * ▲Tc
Qc = (0.054)* (4173.3) * (4.1)
Qc = 923.9 J/s (W)
Heat power lost = Qh – Qc = 1139.5 - 923.9 = 215.6 W
Overall Efficiency
= (923.9/1139.5) *100 = 81.08%
Reading no 2:
At T2 of 530C for hot fluid
Temperature 0C
ρh (kg/m3)
Cph (J/kg. K)
Upper limit
55
985.2
4183
Lower limit
50
988.1
4181
T2
53
983.3
4184.3
Temperature 0C
ρc (kg/m3)
Cpc (J/kg. K)
Upper limit
30
996.0
4178
Lower limit
25
997.0
4180
T5
27
994.5
4175
mh = (3.5*1.667*10-5) * 983.3 = 0.057 kg/s
Qh = mh * Cph * ▲Th
Qh = (0.057) * (4184.3) * (6.7)
Qh = 1598 J/s (W)
At T5 of 270C for cold fluid
mc = (3.43*1.667*10-5) * 994.5 = 0.0568 kg/s
Qc = mc * Cpc * ▲Tc
Qc = (0.0568) * (4175) * (5.6)
Qc = 1328 J/s (W)
Heat power lost = Qh – Qc = 1598 – 1328 = 270 W
(1328/1598)*100 = 83.1%
Reading no 3:
At T2 of 52.10C for hot fluid
Temperature 0C
ρh (kg/m3)
Cph (J/kg. K)
Upper limit
55
985.2
4183
Lower limit
50
988.1
4181
T2
52.1
981.2
4185.7
mh = (3.5*1.667*10-5) * 981.2 = 0.0572 kg/s
Qh = mh * Cph * ▲Th
Qh = (0.0572) * (4185.7) * (6.4)
Qh = 1532.3 J/s (W)
At T5 of 26.80C for cold fluid
Temperature 0C
ρc (kg/m3)
Cpc (J/kg. K)
Upper limit
30
996.0
4178
Lower limit
25
997.0
4180
T5
26.8
994.2
4174.4
mc = (3.54*1.667*10-5) * 994.2 = 0.0587 kg/s
Qc = mc * Cpc * ▲Tc
Qc = (0.0587) * (4174.4) * (5.1)
Qc = 1250 J/s (W)
Heat lost = Qh – Qc = 1532.3 – 1250 = 282.3 W
(1250/1532.3) * 100 = 81.6%
Reading no: 4
At T2 of 51.70C for hot fluid
Temperature 0C
ρh (kg/m3)
Cph (J/kg. K)
Upper limit
55
985.2
4183
Lower limit
50
988.1
4181
T2
51.7
979.6
4186.9
mh = (3.5*1.667*10-5) * 979.6 = 0.0572 kg/s
Qh = mh * Cph * ▲Th
Qh = (0.0572) * (4186.9) * (6.3)
Qh = 1508.8 J/s (W)
At T5 of 27.2 for cold fluid
Temperature 0C
ρc (kg/m3)
Cpc (J/kg. K)
Upper limit
30
996.0
4178
Lower limit
25
997.0
4180
T5
27.2
994.7
4175.4
mc = (3.81*1.667*10-5) * 994.7 = 0.0632 kg/s
Qc = mc * Cpc * ▲Tc
Qc = (0.0632) * (4175.2) * (4.7)
Qc = 1240.2 J/s (W)
Heat lost = Qh – Qc = (1508.8 – 1240.2) = 268.6 W
(1240.2/1508.8) * 100 = 82.2%
Table of results:
Mass flow
rate (kg/s)
mh
Heat
emitted
Qh (W)
Mass flow
rate (kg/s)
mc
Heat gained
Qc (W)
Heat
exchanger
efficiency
%
50
0.0580
1139.5
0.0540
923.9
81.08
60
0.0570
1598
0.0568
1328
83.10
70
0.0572
1532.3
0.0587
1250
81.6
80
0.0572
1508.8
0.0632
1240.2
82.2
Valve %
HOT FLUID
COLD FLUID
Conclusion:
Theoretically the value of Qc is equal to the value of Qh where the
efficiency is 100%. Experimentally the values of Qc and Qh are not equal
as shown in the table of results above but the overall average efficiency
is around 82% this means there is heat loss of 12%. This difference might
be caused due to heat loss to the surroundings. All the readings shows
that heat was lost to the surroundings because the value of Qc is less
than Qh and no heat gained from the surroundings.
As the flow rate of the cold fluid increased the value of Qc also increased.
This indicates that more heat was gained from the hot fluid to cold fluid
because of the increase in flow rate of cold fluid.
References.
THOMAS, All About Double Pipe Heat Exchangers,n.d,
https://www.thomasnet.com/articles/process-equipment/double-pipeheatexchangers/. Accessed on October 28th, 2020.
Remarks of the faculty in-charge
Date:
Faculty signature:
Guidelines
“The experiment Report “
EXP. 1, 2
1) Title
Includes the experiment title, your name, ID and the submission date
2) Introduction
A brief article about the experiment and objectives
You might include external references if needed
3) Materials
This includes the specimens, equipment and the experimental apparatus, specification of the
test materials etc.
You might include photos of the apparatus or scan the apparatus if provided in the lab note
4) Results and discussion
This part should include your data input and results
For example as Exp.1
You need to fill in the table of Measurements
Time
0
2
4
.
.
etc
Heat flux
Thot
Tcold
And all other experiment tables ………….
You need to include all the calculations mentioned in the lab notebook
Plus you need to include graphs (all should be in Excel or any graphic software, graph sheet not
accepted)
1) How hot plate temperature changes with time
2) How Heat flux changes with time
Discuss the results
5) Conclusion
State at least two points in a paragraph
At the end include the following
Remarks of the faculty in-charge
Date
Facility signature
Thermal conductivity of given test materials –
Single plate method
Page 1 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
OBJECTIVE
Page 2 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
To determine the thermal resistance and thermal conductivity of the given different building materials and
understand the heat conduction process involved.
WORKING PRINCIPLE
A known rate of heat is conducted through a specimen of the material in the form of a slab of cross
sectional area ‘A’ placed between an electric heat source generating heat supply at a constant rate and heat sink (cold
fluid chamber or cooler). The entire assembly is embedded in low conductivity insulation in order to minimize lateral heat
leakage from the exposed surface of the specimen.
PROCEDURE
1. Make sure that the heat flux sensor and the thermocouples for Th and Tc are connected to the display unit
2. Check the water supply and water hoses for incoming water and outgoing water in the cooler unit.
3. In order to insert specimen, turn the spindle anti-clockwise and lifting the heater plate. Place the specimen to be tested
on the cooling plate via the front of the unit.
4. Then clamp the specimen in between the heater plate and cooling plate.
5. Switch on the unit using the main switch. Make sure that the temperature set point on Th is set to 50oC, and then switch
on the heater.
6. Note the temperature readings at frequent intervals till consecutive readings are same indicating that steady state has
been reached.
7. After your experimental work, turn off water supply & main switch and then turn the spindle clockwise and lifting the
heater plate to remove the specimen(s).
Page 3 of 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
FORMULAE
Page 4
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
The Fourier’s law of heat conduction is given by
dT
dX = − k A
Where,
temperature
quantity of heat conducted per unit time,
=
=
area of cross section normal to the direction of heat flow [m2] dT
thermal conductivity
=
thickness of test material thickness, [m] k
=
A
= drop,(Th – Tc) [o C] dX
of the material, [W/moC]
EXPERIMENTAL LAYOUT
Page 5
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Time, t
in min
Heat
Flux
/A =q
(W/m²)
Hot Plate
Temperature
Th (ºC)
Cold Plate
Temperature
Tc (ºC)
0
2
4
6
8
10
12
14
16
18
20
Sl.
No
Test
Sample
Heat
Flux
/A =q
(W/m²)
Thermocouple Readings, [ o C]
Hot Plate
Cold Plate
Temperature
Temperature
Temperature
difference
(Th)
(Tc)
(dT)
Thermal
Thermal
conductivity
Resistance
( k)
(Rth)
[W/moC]
[oC/W]
1
2
Page 6
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
TABLE OF MEASUREMENTS
Page 7
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 8
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
of 80
Test material
Dimension
Polystyrene (Expanded)
Poly oxyethylene (POM)
300x300 mm
300x300 mm
Maximum service
temperature °C
60
100
Plaster
Corkboard
PMMA
Armaflex
300x300 mm
300x300 mm
300x300 mm
300x300 mm
100
80
80
70
Page 9
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Figure. 2 Temperature distribution along the Length (heat transfer direction) of slab*
Page 10
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
[*A straight line is drawn to fit the data and its slope gives the temperature gradient]
Specification of the test materials
1. Thickness of test sample, dX
=
m
2. Area of the test sample, A
=
m2
Page 11
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
MODEL
k
CALCULATION
Q
,
=
A
dTdX
=
=
Rth
o
C/W
dX
=
k.A
=
=
Page 12
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
S.
No.
Test Material
Page 13 of 80
Heat Flux
Thermal conductivity, k
(W/m2)
= Q/A(ΔT/ΔX)
1
2
Remarks of the Faculty in-charge:
Page 13
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Date:
Faculty Signature:
Page 14
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
TABLE OF RESULTS
Page 15
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
ANALYSIS OF RESULTS /
CONCLUSIONS
1.
2
Page 16
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 17
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Sultanate of Oman
University of Technology and Applied Sciences
Department Stamp
For Educational Purposes Only
Higher College of Technology
Heat Transfer Practical (CHEE3101 P)
Semester II Academic Year 2020-2021
Laboratory Manual
ENGINEERING DEPARTMENT
Student Name
Section #
Name of Faculty
(Laboratory):
ID #
Mr. Magd Ahmed
Day/Time
Office Hours:
E-mail Address:
Magd.gehad@hct.edu.om
Version No.
Last Date
of
Revision
Name of Course Coordinator
(Lecturer):
Dr. Ibrahim Al-Siyabi
Signature
Date
Signature
Date
Name of Faculty Head (Lab):
Approved by:
Program Coordinator’s
Name:
Verified by:
Curriculum Committee
Member:
Specialization
Signature
Section
Signature
Date
CAE
EEE
Date
MIE
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 2 of 80
After successfully completed this course, students should be
able to manifest the following ticked College Graduate
Attributes (GA):
o 1. Are well-disciplined and committed to hard work and
a high standard of productivity;
o 2. Are able to apply the knowledge and skills to a diverse
and competitive work environment;
o 3. Are able to think critically, analyze and solve
problems;
o 4. Have a high degree of competence in using
information and communication technology;
o 5. Are professionally competent and up-to-date in their
field of specialization in a changing global environment;
o 6. Can gather and process knowledge from a variety of
sources, and communicate effectively in written and
spoken English;
o 7. Can effectively demonstrate and apply good
interpersonal skills in teamwork and leadership roles;
o 8. Are committed to self-development through lifelong
learning;
o 9. Are socially responsible citizens aware of
contemporary issues in contributing to national
development; and
o 10. Are able to demonstrate and apply their
entrepreneurial skills.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 3 of 80
DEPARTMENT OF ENGINEERING
MECHANICAL & INDUSTRIAL ENGINEERING SECTION
Higher College of Technology, P O BOX 74, AL-KHUWAIR, CODE 133 24473600 fax 24485364
Course Name: HEAT TRANSFER Practical
Course Code: MIME 4212P & CHEE3101P
List of Experiments
S/N
Experiment
Title
Page
#
Objectives
No.
Learning
Outcome
No.
Graduate
Attribute
No.
1
Thermal conductivity of given test
materials – single plate method
7
1-5
1-9
1-10
2
Thermal conductivity of given test
materials – Multi plate method
(composite wall)
15
1-5
1-9
1-10
3
Natural convection heat transfers
in a vertical stainless steel plate
22
1-5
1-9
1-10
31
1-5
1-9
1-10
4
Forced convection heat transfer in
a vertical stainless steel plate
5
Radiation: Inverse Square Law for
Heat
39
1-5
1-9
1-10
6
Radiation: Stefan– Boltzmann law
45
1-5
1-9
1-10
53
1-5
1-9
1-10
60
1-5
1-9
1-10
7
8
Counter flow type Double pipe
heat exchanger- Energy balance
and overall efficiency
Overall Heat Transfer Coefficient
for Cocurrent (Parallel) flow type
double pipe heat exchanger by
LMTD method
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Date
Completed
Page 4 of 80
Marks
Technician’s
Signature
LABORATORY/WORKSHOP SAFETY RULES
1. Attentively LISTEN TO THE INSTRUCTIONS of the laboratory/workshop staff before starting with
any laboratory/workshop work.
2. LISTEN TO the laboratory/workshop staff as he discusses the SAFETY ARRANGEMENT for the
activity and keep in mind the required precaution and KNOW THE HAZARDS involved in the
performance of the laboratory/workshop activity.
3. READ AND UNDERSTAND THE PROCEDURE as written in the laboratory/workshop manual
before beginning with any activity. If you have doubts do not hesitate to ask the in-charge
laboratory/workshop staff.
4. Always think of safety. EXECUTE THE LABORATORY EXPERIMENT WITH EXTRA CARE
AND AVOID PLAYING WHILE DOING THE ACTIVITY. Fooling around or "horse play" in the
laboratory/workshop is absolutely forbidden. Students found in violation of this safety rule will be dealt
accordingly.
5. NEVER energize circuits or turn on equipment and devices without approval of the in-charge
laboratory/workshop staff.
6. Do not use devices and equipment if you DO NOT KNOW how to use it. Ask for HELP!
7. OBSERVE BEST PRACTICES for MANUAL HANDLING when working. Do not try to move
heavy objects alone or without the use of the appropriate equipment. Use trolley and/or lifting tools as
necessary. ASK FOR HELP!
8. HOUSEKEEPING RULE is fully implemented in all laboratories and workshops. Keep your work
area clean and organized. Return all devices and equipment in their proper storage.
9. WEAR THE APPROPRIATE ATTIRE while inside the laboratory or workshop (LABORATORY
COAT OR COVER ALL)
10. FOOD AND DRINKS are not allowed inside the laboratory or workshop.
11. FAMILIARIZE yourself with all safety arrangement in the laboratory/workshop. Know the emergency
procedures, evacuation procedures, location of first aid kit and location of the fire extinguisher.
12. If an INCIDENT/ACCIDENT happened, immediately call the attention of the laboratory
instructor/laboratory technician in charge.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 5 of 80
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S.N.
OFFICE
CONTACT
NO.
Royal Oman
9999
1
Police
2
3
4
Civil Defense
Control Room
Al-Khuwair
Health Center
Royal Hospital
COLLEGE EMERGENCY NUMBERS
S.N.
OFFICE
ROOM NO.
College
Clinic
Main Campus
24473866/ext. 5266
24473754/ ext. 5154
24480567
ELC
College Emergency
Hotline
College RHS
24599000
Engineering RHS
5242
24343666
92920203
5053
EMERGENCY CONTACT INFORMATION
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 6 of 80
UNDERTAKING ON THE USE OF ENGINEERING LABORATORY/WORKSHOP
I,
, with ID No.:
is currently registered in
(Student Name)
(
)
(Course Name)
(Course Code)
have read, understood and agreed with all the laboratory and workshop safety rules implemented by the
Engineering Department. I assure that:
•
I shall follow all written and oral instructions given to me by the faculty in-charge;
•
I shall give my full cooperation to maintain a safe working environment ensuring my safety, safety of
my fellow students and safety of staff members; and
•
I shall use the laboratory/workshop equipment and tools in accordance with the specification.
Further, I am aware that I shall not be allowed to participate in the activity and receive failing mark if I have
violated any of the laboratory and workshop safety rules. Lastly, I am also fully aware that I shall be held liable
for whatever damage I may have caused inside the laboratory premises.
Semester
:
Academic Year
:
Student Signature
:
Date
:
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 7 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment I. Thermal conductivity of given test materials –
Single plate method
Obtained Mark
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 8 of 80
OBJECTIVE
To determine the thermal resistance and thermal conductivity of the given different building materials
and understand the heat conduction process involved.
WORKING PRINCIPLE
A known rate of heat is conducted through a specimen of the material in the form of a slab of cross
sectional area ‘A’ placed between an electric heat source generating heat supply at a constant rate and heat sink
(cold fluid chamber or cooler). The entire assembly is embedded in low conductivity insulation in order to
minimize lateral heat leakage from the exposed surface of the specimen.
PROCEDURE
1. Make sure that the heat flux sensor and the thermocouples for Th and Tc are connected to the
display unit
2. Check the water supply and water hoses for incoming water and outgoing water in the cooler
unit.
3. In order to insert specimen, turn the spindle anti-clockwise and lifting the heater plate. Place the
specimen to be tested on the cooling plate via the front of the unit.
4. Then clamp the specimen in between the heater plate and cooling plate.
5. Switch on the unit using the main switch. Make sure that the temperature set point on Th is set to
50oC, and then switch on the heater.
6. Note the temperature readings at frequent intervals till consecutive readings are same indicating
that steady state has been reached.
7. After your experimental work, turn off water supply & main switch and then turn the spindle
clockwise and lifting the heater plate to remove the specimen(s).
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 9 of 80
FORMULAE
The Fourier’s law of heat conduction is given by
= −kA
dT
dX
Where,
A
=
=
quantity of heat conducted per unit time,
area of cross section normal to the direction of heat flow [m2]
dT
=
temperature drop,(Th – Tc) [o C]
dX
=
thickness of test material thickness, [m]
k
=
thermal conductivity of the material, [W/moC]
EXPERIMENTAL LAYOUT
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 10 of 80
TABLE OF MEASUREMENTS
Time,
t in
min
Heat
Flux
/A =q
(W/m²)
Hot Plate
Temperature
Th (ºC)
Cold Plate
Temperature
Tc (ºC)
0
2
4
6
8
10
12
14
16
18
20
Sl.
Test
No
Sample
Heat
Flux
/A =q
(W/m²)
Thermocouple Readings, [ o C]
Hot Plate
Cold Plate
Temperature
Temperature
(Th)
(Tc)
Thermal
Thermal
Temperature
conductivity
Resistance
difference
( k)
(Rth)
(dT)
[W/moC]
[oC/W]
1
2
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 11 of 80
Figure. 2 Temperature distribution along the Length (heat transfer direction) of slab*
[*A straight line is drawn to fit the data and its slope gives the temperature gradient]
Specification of the test materials
Test material
Dimension
Polystyrene (Expanded)
Poly oxyethylene
(POM)
Plaster
Corkboard
PMMA
Armaflex
300x300 mm
300x300 mm
Maximum service
temperature °C
60
100
300x300 mm
300x300 mm
300x300 mm
300x300 mm
100
80
80
70
1. Thickness of test sample, dX
=
m
2. Area of the test sample, A
=
m2
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 12 of 80
MODEL CALCULATION
k
=
Q
dT
A
dX
,
W/moC
=
=
Rth
dX
=
k.A
o
C/W
=
=
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 13 of 80
TABLE OF RESULTS
S.
Test
Heat Flux
Thermal conductivity, k
No.
Material
(W/m2)
= Q/A(ΔT/ΔX)
1
2
ANALYSIS OF RESULTS / CONCLUSIONS
1.
2
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Faculty Signature:
Page 14 of 80
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 15 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment 2. Thermal conductivity of given test materials –
Multi plate method (composite wall)
Obtained Mark
Heat Transfer Lab (CHEE3101P) 16 Jan 2019
Page 16 of 80
OBJECTIVE
To determine the thermal resistance and thermal conductivity of the given different
building materials and understand the heat conduction process involved.
WORKING PRINCIPLE
A known rate of heat is conducted through a specimen of the material in the form of a slab
of cross sectional area ‘A’ placed between an electric heat source generating heat supply at a
constant rate and heat sink (cold fluid chamber or cooler). The entire assembly is embedded in
low conductivity insulation in order to minimize lateral heat leakage from the exposed surface of
the specimen.
PROCEDURE
1. Make sure that the heat flux sensor and the thermocouples for Th and Tc are
connected to the display unit
2. Check the water supply and water hoses for incoming water and outgoing water in
the cooler unit.
3. In order to insert specimens, turn the spindle anti-clockwise and lifting the heater
plate. Place the specimen to be tested on the cooling plate via the front of the unit.
4. Then clamp the specimens in between the heater plate and cooling plate.
5. Switch on the unit using the main switch. Make sure that the temperature set point
on Th is set to 50oC, and then switch on the heater.
6. Note the temperature readings at frequent intervals till consecutive readings are
same indicating that steady state has been reached.
7. After your experimental work, turn off water supply & main switch and then turn
the spindle clockwise and lifting the heater plate to remove the specimens.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 17 of 80
FORMULAE
Figure1. One dimensional heat flow through a composite wall (samples are connected in series).
The Fourier’s law of heat conduction is given by
= − k A dT = − k1 A (T − T ) = − k 2 A (T − T ) = .......= − k m A (T − T
dX
x1
2
1
x2
3
2
xm
m
)
m−1
Where,
A
=
=
quantity of heat conducted per unit time,
area of cross section normal to the direction of heat flow
[m2]
dT
=
temperature drop,(Th – Tc) [o C]
dX
=
thickness of test material thickness, [m]
k
=
thermal conductivity of the material, [W/moC]
EXPERIMENTAL LAYOUT
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 18 of 80
TABLE OF MEASUREMENTS
Specification of the test material
Test material
Dimension
Polystyrene
(Expanded)
Poly oxyethylene
(POM)
Plaster
Corkboard
PMMA
Armaflex
300x300 mm
Maximum service
temperature °C
60
300x300 mm
100
300x300 mm
300x300 mm
300x300 mm
300x300 mm
100
80
80
70
Thickness mm
1. Thickness of test samples, X1 =
X2
2. Area of the test sample, A
Sl.
No
Heat
Flux
/A =q
(W/m²)
m
=
m
m2
=
Thermocouple Readings, [ o C]
Temp.
Hot Plate
Cold Plate
Temperature
Temperature
(Th)
(Tc)
difference
(dT)
Equivalent
Thermal
conductivity
( km)
o
Thermal
Resistance
(Total Rth)
[oC/W]
[W/m C]
1
2
3
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 19 of 80
MODEL CALCULATION
q = −k A
q=
dT
kA
k A
k A
= − 1 (T − T ) = − 2 (T − T ) = ....... = − m (T − T )
2
1
3
2
m
m −1
x2
xm
dX
x1
Toverall
(T1 − Tm )
=
x1
x
x2
Rth
+ .... m
+
km .A
k1.A k2 .A
q=−
km A
xm
(T − Tm−1 )
m
q
km
=
dT
A
dX
W/moC
,
=
=
=
Rtotal
= Toverall
q
o
C/W
=
=
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 20 of 80
TABLE OF RESULTS
S.
No.
Test
Heat Flux
Equivalent Thermal
Material
(W/m2)
Conductivity, k
= Q/A(ΔT/ΔX)
(composite)
1
2
ANALYSIS OF RESULTS / CONCLUSIONS
1.
2.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Faculty Signature:
Page 21 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 22 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment 3. Natural convection heat transfers in a vertical stainless steel plate
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 23 of 80
OBJECTIVE
To determine the free convective heat transfer coefficient between the given fluid and the solid surface
by both experimental and empirical methods
EXPERIMENTAL SET UP
The experimental unit consists of a vertical plate made of S.S material enclosed in a rectangular duct
open at both top and bottom. The duct is of sufficient dimensions as not to interfere with the convection process
while at the same time preventing external disturbances to affect the data. The surface temperature of the plate
and ambient temperature is measured using thermocouples. The surface of the plate is polished to minimize
radiation heat losses.
SPECIFICATION
Stainless steel plate: height =
mm
width =
mm
PROCEDURE
1. Switch on the mains.
2. Allow the unit to stabilize.
3. Note down the readings of the SS plate shown in the digital display.
4. Note down the local chamber temperature shown in the digital display.
5. Repeat the experiment for different heat inputs and tabulate the readings for calculations.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 24 of 80
FORMULAE
Energy input,
=
watts
The convection law is given as
=
hexp As (Ts – T∞)
Where
h
–
–
Rate of heat transfer; Heat input, W
Average heat transfer coefficient, W/m2K
As
–
Surface area of the plate, m2
Ts
–
surface temperature of hot body, oC
T∞
–
Temperature of the fluid, oC
Hence,
hexp. =
(
Q
)
As Ts −T
For a vertical plate transferring heat to the surroundings the following empirical relations hold.
Nuav
=
0.59 (GrL . Pr)0.25
for 104 < GrL Pr < 109
(Laminar flow)
Nuav
=
0.10 (GrL . Pr)0.33
for 109 < GrL Pr < 1013
(Turbulent flow)
Where
Nuav
=
Average Nusselt number
=
hL
k
f
L
-
Height of cylinder, m
kf
-
Thermal conductivity of fluid, W/m K
Gr
=
Grashof number based on length
=
g β ΔT L3
γ2
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 25 of 80
Where
β
-
β
=
Coefficient of thermal expansion,
1
Where Tf is mean film temperature in K
Tf
Tf
=
(Ts + T ) 2 Where Ts and T∞ are in oC
ΔT
-
Temperature difference, Ts - T∞
γ
-
Kinematic viscosity in m2/s
Pr
-
Prandtl number,
Cp
k
The fluid properties k, , , , Cp are all evaluated at the mean film temperature Tf
EXPERIMENTAL LAYOUT
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 26 of 80
TABLE OF MEASUREMENTS
Sl.No
Rate of heat flow
Surface temperature
(Ts)
o
watt
C
Ambient Temperature
(T∞ )
o
T
o
C
1.
2.
CALCULATIONS: (for reading No:
)
To find hexp
Ts =
C
T∞ =
o
As
=
hexp
=
C
m2
(
Q
As Ts −T
hexp
=
)
=
W/m2 oC
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Temp.Difference
Page 27 of 80
C
To find
hemp
Tf
=
Ts +T
2
o
=
C =
K
From data sheet, properties of air at Tf
Pr
=
=
m2/s
k
=
W/m oC
=
Gr
=
1
=
Tf
K-1
g T L3
=
2
GrL Pr =
Since GrL Pr =
Nuav
=
=
Nuav
=
Nuav
=
hemp L / k
hemp
=
Nuav k / L
(W/m2 oC)
=
hemp
=
W/m2 oC
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 28 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 29 of 80
TABLE OF RESULTS
Sl.
Heat Input
hexp
hemp
No.
(W)
(W/m2 K)
(W/m2 K)
1.
2.
ANALYSIS OF RESULTS/ CONCLUSIONS
1.
2.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Signature:
Page 30 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 31 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment 4. Forced convection heat transfer in a vertical stainless steel plate
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 32 of 80
OBJECTIVE
To determine the heat transfer coefficient between the given fluid and the solid surface and thereby
compare the heat transfer coefficient with fluid velocity.
EXPERIMENTAL SET UP
The experimental unit consists of a vertical plate made of S.S material enclosed in a rectangular duct
open at both top and bottom. The duct is of sufficient dimensions as not to interfere with the convection process
while at the same time preventing external disturbances to affect the data. The blower/ fan is mounted on the top
or bottom of the duct to enhance the fluid flow over the plate and velocity is measured by anemometer. The
surface temperature of the plate and ambient temperature is measured using thermocouples. The surface of the
plate is polished to minimize radiation heat losses.
SPECIFICATION
Stainless steel plate: height =
mm
width =
mm
PROCEDURE
1. The system is switched on.
2. The amount of heat input is measured by using the wattmeter.
3. The blower is switched on and a particular amount of air flow is fixed.
4. The system is allowed to reach the steady state and the temperatures for the plate and surrounding fluid
medium are noted.
5. The above procedure is repeated for various air flow rates, keeping the heater input same.
FORMULAE
For a vertical plate transferring heat to the surroundings with the aid of velocity at constant heat flux, the
following empirical relations hold.
Nux
=
0.453 ReL0.5 . Pr 0.333
for
Re < 5 x 105
(Laminar flow)
Nux
=
0.031 ReL0.8 . Pr 0.33
for 105 < Re < 107
(Turbulent flow)
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 33 of 80
Reynolds number,
Re
Where γ
V
= V L along flow / γ
= kinematic viscosity, m2/s
= velocity of air through the duct,
m/s
All the properties for air are evaluated at the film temperature given by
Tf
=
Ts +T
=
2
o
C
EXPERIMENTAL LAYOUT
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 34 of 80
TABLE OF MEASUREMENTS
Sl.No
Fluid velocity
Rate of heat flow
(V)
Surface temperature
(Ts)
( )
watt
o
m/s
C
Ambient
Temperature
(T∞ )
o
C
1.
2.
3.
CALCULATIONS: (for reading no:
)
Velocity of the air through the duct,
V
=
Mean film temperature, Tf
m/s
=
Ts +T
2
=
o
C
Properties of air at Tf are as follows:
k
=
W/m oC
γ
=
m2/s
Pr
=
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 35 of 80
Temp.Diff
T
o
C
Reynolds number,
Re
=VL/γ
=
=
Nux
=
=
Nux
=
Nux
=
hemp L / k
hx
=
Nux k / L
(W/m2 oC)
=
hx
=
Heat Transfer Lab (MIME4212P) 16 Jan 2019
W/m2 oC
Page 36 of 80
TABLE OF RESULTS:
The local heat transfer coefficient was determined under forced convection mode for various air flow rates and
the results are given below.
S.
Heat input
Velocity
No.
Q (W)
V (m/s)
Re
Nux
hx
(W/m2K)
1.
2.
3.
ANALYSIS OF RESULTS
1.
2.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Signature:
Page 37 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 38 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 39 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment 5. Radiation: Inverse Square Law for Heat
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 40 of 80
OBJECTIVE:
To show that the intensity of radiation on a surface is inversely proportional to the square of the distance of the
surface from the radiation source.
THEORY:
An ideal black surface is one which absorbs the entire radiation incident on it and its reflectivity and
transmissivity are zero. The radiation emitted per unit area per unit time from the surface of the body is called
emissive power. It is denoted by the term ‘E’. Black surface has the maximum amount of emissive power for a
given temperature. The ratio of emissive power of given surface at a given temperature (E) to that of the
emissive power of a black body at the same temperature (Eb) is defined as emissivity (ε). For a black body,
emissivity is 1. Emissivity depends upon temperature, wavelength and nature of the surface. The intensity of
radiation on a surface is inversely proportional to the square of the distance of the surface from the radiation
source. This law equally applicable to heat, light and electromagnetic (radio waves) radiation.
EXPERIMENTAL SET UP:
The experimental set up consists of a circular plate provided with heating coil and a radiometer mounted on a
bench with measuring scale. The heat input to the heater is varied by dimmerstat and is measured by an
ammeter and voltmeter. The temperature of the plate is measured by thermocouple. One thermocouple is kept
open to the atmosphere to read the ambient temperature. The radiometer measurements can be viewed from
control and measurement system.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 41 of 80
EXPERIMENTAL LAYOUT
PROCEDURE:
1. Give power input to black body (circular plate) surface by adjust the dimmerstat .
2. Set the radiometer at a specified distance and measure the scale on the bench and allow the system to reach
steady state.
3. Measure the steady state heat flux from radiometer.
4. Repeat the experiment for the same power input and varying the radio-meter scale.
FORMULAE:
The power input given for black surface,
b = Ib × Vb
Watts
___
Radiometer reading (intensity of radiation) = q rad W/m
___
Inverse square law, q rad
2
1
r2
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 42 of 80
TABLE OF MEASUREMENTS
The power input given for black surface,
Patm = 1.0 atm
___
Distance
r (m)
q
b = Ib × Vb
Watts
Tambient =
°C
r²
1/r²
m²
m-2
rad
Radio meter
reading
(W/m²)
Theater
Tradiometer
°C
°C
0.2
0.4
0.6
0.8
CALCULATIONS: (for reading no:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
)
Page 43 of 80
ANALYSIS OF RESULTS
1.
2.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Signature:
Page 44 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 45 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Experiment 6. Radiation: Stefan – Boltzmann law
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 46 of 80
OBJECTIVE:
To show that the intensity of radiation varies as the fourth power of the source temperature and compare the
actual & calculated heat flux.
THEORY:
An ideal black surface is one which absorbs the entire radiation incident on it and its reflectivity and
transmissivity are zero. The radiation emitted per unit area per unit time from the surface of the body is called
emissive power. It is denoted by the term ‘E’. Black surface has the maximum amount of emissive power for a
given temperature. The ratio of emissive power of given surface at a given temperature (E) to that of the
emissive power of a black body at the same temperature (Eb) is defined as emissivity (ε). For a black body,
emissivity is 1. Emissivity depends upon temperature, wavelength and nature of the surface. The intensity of
radiation varies as the fourth power of the source temperature.
EXPERIMENTAL SET UP:
The experimental set up consists of a circular plate provided with heating coil and a radiometer mounted on a
bench with measuring scale. The heat input to the heater is varied by dimmerstat and is measured by an
ammeter and voltmeter. The temperature of the plate is measured by thermocouple. One thermocouple is kept
open to the atmosphere to read the ambient temperature. The radiometer measurements can be viewed from
control and measurement system.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 47 of 80
EXPERIMENTAL LAYOUT
PROCEDURE:
1. Give power input to black body (circular plate) surface by adjust the dimmerstat .
2. Set the radiometer at a specified distance and measure the scale on the bench and allow the system to
reach steady state.
3. Measure the steady state heat flux from radiometer.
4. Repeat the experiment for changing power input at a constant radio-meter scale.
FORMULAE:
The power input given for black surface,
b = Ib × Vb
Watts
___
Radiometer reading (intensity of radiation) = q rad W/m
2
Net energy exchange between two bodies:
Q
= A F
1−2
(T 4 − T 4 )
1−2
1
2
Where
Q1-2
A
F1-2
σ
= Rate of heat transfer by Radiation (Watt = J/s)
= Area on which the air will be flow (m²)
= View factor
= Boltzmann’s constant (= 5.67 10−8 W/m² K 4 )
= Emissivity
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 48 of 80
= Absorptivity
In general for black body
= =1.0
The view factor can be calculated by the following approach:
For old system
r1 = 7mm
r2 = 52.5mm
For the new system
r1 = 5.5mm
r2 = 50mm
Definitions: R = r/a;
R1 = r1 / a
and
R2 = r2 / a
X = 1 + (1 + R22)/R12
Governing equation
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 49 of 80
TABLE OF MEASUREMENTS
The power input given for black surface,
b = Ib × Vb
Patmosphere = 1.0 atmos
Power
input to
the black
surface
qb
(Watt)
___
q
Tambient =
Theater
Tradiometer
°C
°C
°C
F1−2
Qcalculated
W
Radio
meter
reading
(W/m²)
CALCULATIONS: (for reading no:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
rad
Watts
)
Page 50 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 51 of 80
ANALYSIS OF RESULTS
1.
2.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Signature:
Page 52 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 53 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Exercise 7- Counter flow type Double pipe heat exchanger- Energy balance
and overall efficiency
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 54 of 80
Objective
To perform an energy balance across a Tubular Heat Exchanger and calculate the Overall Efficiency at different
fluid flow rates.
Method
By measuring the changes in temperature of the two separate fluid streams in a tubular heat exchanger and
calculating the heat energy transferred to/from each stream to determine the Overall Efficiency.
Equipment Required
HT30X/HT30XC Heat Exchanger Service Unit
HT31 Tubular Heat Exchanger
Equipment Setup
Before proceeding with the exercise ensure that the equipment has been set up and the accessory installed as
described in this manual, with a cold water supply connected and the pressure regulator adjusted. The apparatus
should be switched on, and if using the HT30XC the service unit should be connected to a suitable PC on which
the software has been installed. Computer operation is optional with the HT30X.
If using the HT30XC, or the HT30X with the optional software, run the HT31 software for the service unit used
(HT30XC software must be used with the HT30XC and HT30X software with the HT30X, as the calibration for
the sensors differs between the two service units). If using the HT30XC, select the counter flow (Counter
current) exercise. If using the HT30X, select Exercise A and then select Counter current Operation on the
software display option box.
Theory and Relations
Note: For this demonstration the heat exchanger is configured for countercurrent flow (the two fluid streams
flowing in opposite directions).
Mass flow rate (kg/s) = Volume flow rate (m3/s) × Density of fluid (kg/m3)
Conversion factor for volume flow rate
Heat power (Rate of Heat) = (mass flow rate × Specific heat capacity × Change in temperature) W
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 55 of 80
Therefore:
Heat power emitted from hot fluid
Qh =
[W]
Heat power absorbed by cold fluid
Qc =
[W]
Where h = (T1 - T3)
and c = (T6 – T4)
Heat power lost (or gained) Qf = Qh – Qc [W]
Overall Efficiency =
Theoretically Qh and Qc should be equal.
In practice these differ due to heat losses or gains to/from the environment.
Note: In this exercise the cold fluid is circulated through the outer annulus, if the average cold fluid
temperature is above the ambient air temperature then heat will be lost to the surroundings resulting in
h100%.
Working Fluid: WATER in both stream
Observation Tabulation for Counter flow arrangement
HOT FLUID
Reading Volume
Number flow rate
[Lits/min]
Inlet
temp
o
C
T1
COLD FLUID
Mid
temp
o
C
T2
Exit
temp
o
C
T3
Volume
flow rate
[Lits/min]
Inlet
temp
o
C
T4
Mid
temp
o
C
T5
Exit
temp
o
C
T6
1
2
3
4
Note down the following water properties corresponding to mid average temperature of the fluid from property
table.
at T2=
o
C for hot fluid
=
kg/m3
=
J/kg K
at T5=
o
C for Cold fluid
=
kg/m3
=
J/kg K
Note: If necessary use interpolation technique
Heat Transfer Lab (MIME4212P) 16 Jan 2019
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Calculation
For each set of readings, the relevant derived results are should be calculated and presented.
Reading 1
Reading 2
Heat Transfer Lab (MIME4212P) 16 Jan 2019
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Reading 3
Reading 4
Heat Transfer Lab (MIME4212P) 16 Jan 2019
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Resultant Tabulation
Hot Fluid
Reading
Number
mass flow
rate kg/s
Cold Fluid
mass flow
rate kg/s
Heat emitted
W
Qh
Heat gained
W
Qc
Heat
Exchanger
efficiency
%
Write your conclusion by answering the following,
Explain any difference between Qh and Qc in your results.
Comment on the effects of the increase in the cold fluid flow rate.
Compare the heat power emitted from/absorbed by the two fluid streams at the different flow rates.
Conclusion
1.
2.
3.
Remarks of the Faculty in-charge:
Date:
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Signature:
Page 59 of 80
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 60 of 80
Course Name: Heat Transfer
Course Code: MIME 4212P & CHEE 3101P
Exercise 8
- Overall Heat Transfer Coefficient for Cocurrent
(Parallel) flow type double pipe heat exchanger by LMTD method
Obtained Mark
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 61 of 80
Objective
To determine the Overall Heat Transfer Coefficient for a Tubular Heat Exchanger using
the Logarithmic Mean Temperature Difference to perform the calculations (for
concurrent/parallel flow).
Method
By measuring the temperatures of the two fluid streams and calculating the LMTD from
which the overall heat transfer coefficient can be calculated for each flow configuration.
Equipment Required
HT30X/HT30XC Heat Exchanger Service Unit and HT31 Tubular Heat Exchanger
Equipment Setup
Before proceeding with the exercise ensure that the equipment has been set up and the
accessory installed as described in this manual, with a cold water supply connected and the
pressure regulator adjusted. The apparatus should be switched on, and if using the
HT30XC the service unit should be connected to a suitable PC on which the software has
been installed. Computer operation is optional with the HT30X.
If using the HT30XC, or the HT30X with the optional software, run the HT31 software for
the service unit used (HT30XC software must be used with the HT30XC and HT30X
software with the HT30X, as the calibration for the sensors differs between the two service
units). If using the HT30XC, select the counter flow (Counter current) exercise. If using
the HT30X, select Exercise A and then select Counter current Operation on the software
display option box.
Theory and Relations
Cocurrent operation (Parallel flow)
When the service unit is configured for cocurrent operation the hot and cold fluid streams
flow in the same direction across the heat transfer surface (the two fluid streams enter the
heat exchanger at the same end).
In PC, select ‘Load New Experiment...’ from the ‘File’ menu and click on the Cocurrent
Operation exercise radio button then select the ‘Load’ button.
The connections to the heat exchanger are now configured for cocurrent operation where
the hot and cold fluid streams flow in the same direction across the heat transfer surface
(the two fluid streams enter the heat exchanger at the same end).
Adjust the cold water flow control valve setting to 1 litre/min (hot and cold water
flowrates remain the same as before).
When the temperatures are stable select the icon or manually record the following: T1,
T2, T3, T4, T5, T6, Fhot, Fcold.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 62 of 80
Note: To eliminate the effect of heat losses/gains in the cold water stream the heat emitted
from the hot fluid stream will be used in the calculations. Because the temperature
difference between the hot and cold fluid streams varies along the length of the heat
exchanger it is necessary to derive an average temperature difference (driving force) from
which heat transfer calculations can be performed. This average temperature difference is
called the Logarithmic Mean Temperature Difference (LMTD)
Mass flow rate (kg/s) = Volume flow rate (m3/s) × Density of fluid (kg/m3)
Conversion factor for volume flow rate
Heat power (Rate of Heat) = (mass flow rate × Specific heat capacity × Change in
temperature) W
Heat power emitted from hot fluid
– T1 )
For LMTD
[W] where h = (T3
Qh =
calculation:
LMTD
AND
Note: This equation cannot produce a result if
The heat transmission area in the exchanger must be calculated using the arithmetic mean
diameter of the inner tube.
Arithmetic mean diameter
Hot fluid tube (inner tube) outer diameter
and inner diameter
Heat transmission length L = 0.660 m
Heat Transmission area
A [m2] =
Note: (dm can be used since r2/r1 5 x 105
flow
--
Turbulent
Nux = 0.0296 (Re)0.8 (Pr)0.333
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 70 of 80
1. Metals are good conductors of heat because
a. their atoms collide frequently
b. their atoms are relatively apart
c. they contain free electrons
d. they have high density
e. all of the above
2. which of the following is a case of steady state heat transfer?
a. IC engine
b. Air compressor
c. heating of building in winter
d. cooling of orange in refrigerator
e. all of the above
f. none of the above
3. Heat transferred by all three modes of heat transfer, viz, conduction, convection
and radiation in
a. electric heater
b. steam condenser
c. melting of ice
d. refrigerator condenser coils
e. boiler
f. none of the above
4. Emissivity of a white polished body in comparison to a black body is
a. higher
b. lower
c. same
d. depends upon shape of body
e. none of the above
5. A black body is one whose absorptivity
a. varies with temperature
b. varies with wavelength of the incident ray
c. is equal to its emissivity
d. does not vary with temperature and wavelength of incident ray
e. none of the above
6. A non-dimensional number generally associated with natural convection heat
transfer is
a. Nusselt number
b. Webber number
c. Grashoff Number
d. Prandtl Number
e. Reynlod Number
f. All of the above
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 71 of 80
7. Heat transfer takes place as per
a. Zeroth law of thermodynamics
b. First law of thermodynamics
c. Second law of thermodynamics
d. Kirchoff's law
e. Stefan's law
8. One side of a 1 cm thick stainless steel wall (k1 = 19 W/moC) is maintained at
Th=180oC and the other side is insulated with a layer of 4 cm thick fiberglass. The
outside of the fiberglass is maintained at Tc=60oC and the heat loss through then
wall is 300 W. Determine the thermal conductivity of fiber glass if the area of the
wall is 2.5 m2.
[3 marks]
9. Air at 20oC and Pressure of 1.0132 bar is flowing over a flat plate of 1 m long, 0.5
m wide due to density difference. If the plate is at 80oC. Calculate Grashof
number and Type of flow. [5marks]
g=9.81m/s2 ; =
Criteria for flow type
Gr Pr < 1 x 109
Gr Pr > 1 x 109
— Laminar flow
— Turbulent flow
1. Thermal conductivity of solid metals with rise in temperature normally
a. increases
b. decreases
c. remains same
d. may increase or decrease based on temperature
2. which of the following is a case of steady state heat transfer?
a. IC engine
b. Air compressor
c. heating of building in winter
d. cooling of orange in refrigerator
e. all of the above
f. none of the above
3. Thermal conductivity of a material may be defined as the
a. quantity of heat flowing in one second through one cube of material when
opposite faces are maintained at a temperature difference of 1oC
b. quantity of heat following in one second through a slab of the material of
area one cm square, thickness 1 cm when its faces differed in temperature
by 1oC
c. heat conducted in unit time across unit area through unit thickness when
a temperature difference of unity is maintained between opposite faces
d. all of the above
e. none of the above
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 72 of 80
4. When heat is transferred from hot body to cold body, in a straight line, without
affecting the intervening medium, it is referred as heat transfer by
a. conduction
b. convection
c. radiation
d. conduction and convection
e. convection and radiation
5. Emissivity of a white polished body in comparison to a black body is
a. higher
b. lower
c. same
d. depends upon shape of body
e. none of the above
6. A black body is one whose absorptivity
a. varies with temperature
b. varies with wavelength of the incident ray
c. is equal to its emissivity
d. does not vary with temperature and wavelength of incident ray
e. none of the above
7. Heat is closely related with
a. Liquids
b. solids
c. energy
d. temperature
e. enthalpy
f. entropy
8. Select the wrong case. Heat flowing from one side to other depends directly on
a. face area
b. time
c. thickness
d. temperature difference
e. thermal conductivity
9. A black plate is heated by resistance heating by transferring 1.5 A current with a
drop in voltage of 60V when the distance between the plate and radiometer is
15cm. The diameter of the circular black plate is 19mm.If the distance between
the plate and radiometer is doubled what will be the value of Q? (Use inverse
square law).
[3]
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 73 of 80
Radio meter
Black plate
Distance =r
12. Air at 25oC and Pressure of 1.0132 bar is flowing over a flat plate of 1 m long, 0.5
m wide due to density difference. If the plate is at 80oC. Calculate Grashof
number and Type of flow. [4marks]
Criteria for flow type
g=9.81m/s2 ; =
Gr Pr < 1 x 109
Gr Pr > 1 x 109
1.
— Laminar flow
— Turbulent flow
heat conducted through unit area and unit thick face per unit time when
temperature difference between opposite faces is unity is called
a. thermal resistance
b. emissivity
c. temperature gradient
d. heat transfer rate
e. thermal conductivity
2. Heat transfer takes place as per
a. Zeroth law of thermodynamics
b. First law of thermodynamics
c. Second law of thermodynamics
d. Kirchoff’s law
e. Stefan’s law
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 74 of 80
3. When heat is transferred from one particle of hot body to another by actual
motion of the heated particles. it is referred to as heat transfer by
f. conduction
g. convection
h. radiation
i. conduction and convection
j. convection and radiation
4. When heat is transferred from hot body to cold body, in a straight line, without
affecting the intervening medium, it is referred as heat transfer by
k. conduction
l. convection
m. radiation
n. conduction and convection
o. convection and radiation
5. Heat is closely related with
p. Liquids
q. solids
r. energy
s. temperature
t. enthalpy
u. entropy
6. Which of the following is the case of heat transfer by radiation?
v. blast furnace
w. heating of a building
x. cooling of parts of engine
y. heat received by a person from fire place
z. all of the above
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 75 of 80
7. Air, at a pressure of 1 bar is flowing over a flat plate at a velocity of 3 m/s. If the
plate is maintained at 60oC, calculate the heat transfer co-efficient per unit width
of the plate taking the length of the plate along the flow of air is 2 m.
[5]
Air
temperature
oC
W
Hot plate
temperature
oC
Air
Velocity
m/s
Criteria for flow type
Re < 5 x 105
-Laminar flow
Nux = 0.332 (Re)0.5 (Pr)0.333
Re > 5 x 105
193.2
20
60
Heat Transfer Lab (MIME4212P) 16 Jan 2019
3
— Turbulent flow
Nux = 0.0296 (Re)0.8 (Pr)0.333
Page 76 of 80
COURSE ASSESSMENT MARKS DISTRIBUTION
Heat Transfer (MIME4212P) & (CHEE3101P)
PERFORMING EXPERIMENT (Handwritten) – Submit same day [5 Marks]
Experiment Procedure (Complete & Detailed in Own Words)
1
[Marks]
1
Skills (Dexterity in handling equipment)
1
Complete, Well Presented (clean) Data Collection with Teacher’s Signature
1
Initial Partial Calculations (correct clear step by step), Unit Conversions
1
Clean & Maintained Workspace / Equipment
0.5
Attend On Time / Lab Discipline / Safety / Personal Protective Equipment (PPE)
0.5
REPORT SUBMISSION (Word Processed) – Submit thru E Learning [10 Marks]
Aim and Experiment Procedure (Complete & Detailed in Own Words)
Equipment / Apparatus / Tools / Components Used
Table & Graphs (complete, correct & clear)
2
[Marks]
1
2
Complete Calculations (correct clear step by step), Unit Conversions
2
Conclusion in Reference to the Aim / Objective of Experiment
1
Remarks based on the Outcome/Evidence & Reasoning with Errors & Uncertainty
2
Assignment correct & complete with proper Reference
1.5
Report Presentation, Correct Format and File type
0.5
2 PRACTICAL ASSESSMENTS (Average) [15 Marks]
[Marks]
Short Questions / Definition / Basic Applications / Equipment Use & Function
5
Procedure / Data Outcome / Graph Interpretation / Equipment Comparison
5
Calculations / Detailed Solutions / Unit Conversions
5
3
Obtained
Marks
Total Marks [30]
*Submission of Manual marking scheme:
Submission Day
a) On Time
b) 1-day Late
c)
2-day Late
d) 3 or more days late
Deduction of Marks
0
3
5
10
Notes:
✓ Lab Experiment should be accomplished on a 2-hour session only.
✓ Failure to comply will be subjected to the *Submission of Manual marking scheme.
✓ Use black or blue pen only. Reduction will be imposed for not following instructions.
✓ In case of absence, only with valid reasons submitted within 1 week are allowed to perform the missed
Laboratory Experiment.
✓ Reports will be uploaded to Turnitin software for Plagiarism.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 77 of 80
References
1. Solteq, Malaysia: HE110 – Thermal Conductivity of Building Material Apparatus Manual, Equipment for Engineering Education.
2. Solteq, Malaysia: HE106 – Free and Forced Convection Apparatus – Manual,
Equipment for Engineering Education.
3. P.A.Hilton, UK: H111, H111C & H111P –Thermal Radiation Apparatus – Manual,
Equipment for Engineering Education.
4. HT30X/HT30XC Heat Exchanger Service Unit and HT31 Tubular Heat Exchanger
user manual, www.armfield.co.uk
5. Yunus A.Cengel, “Heat Transfer” 2nd Edition Reprint, McGraw Hill Higher
Education, 2002.
6. J. P. Holman, “Heat Transfer” 8th International Edition, McGraw Hill Higher
Education INC, 1997.
7. R. C. Sachdeva, “Fundamentals of Engineering Heat and Mass Transfer” Reprint, New
Age Science, Limited, 2007.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 78 of 80
Linear Interpolation using Calculator
Suppose you have the following straight line: – and you need to calculate the value of Y?!
To do this using calculator fx991-ES, please follow this procedure: 1.
2.
3.
4.
5.
6.
7.
8.
Press Mode Button.
Press 3 “Stat “.
Press 2“A+BX”.
Enter the value of limits in X column, 0 and 20.
Enter the value of limits in Y column, 10 and 5.
Press AC button.
Press Shift.
Press 1.
If you want the value of Y at x = 8.
9. Press 8.
10. Press Shift.
11. Press 1.
12. Press 7” Reg”.
13. Press 5.
14. Press =.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 79 of 80
To do this using calculator fx100-MS, please follow this procedure: –
1. Press Mode Button.
2. Press “REG “(2)
3. Press “Lin” (1)
4. Press “AC”.
5. Press “shift+Mode”.
6. Press “Scl” (1) and “=” and “AC”.
7. For data entry follow the below steps
a. Enter “X” and “,” and “Y” and press “M+”.
b. Enter “X” and “,” and “Y” and press “M+”.
8. Press AC.
You want the value of Y at x = 8.
9.
Press 8.
10.
Press Shift.
11.
Press 2.
12.
Press replay button right arrow thrice.”>” ”>” ”>”.
13.
Press 2 “ ”.
14.
Press =.
For the next data repeat steps from 6.
Heat Transfer Lab (MIME4212P) 16 Jan 2019
Page 80 of 80
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