MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 0: Revision of Thermodynamics
S1) A cylinder fitted with a frictionless piston contains 2 kg of superheated refrigerant
R-134a vapor at 350 kPa, 100C. The cylinder is now cooled so the R-134a
remains at

USEFUL INFORMATION
Rcond
r
ln 2
r
1
2LK
h PL
mCp
Ts Tme
e
Ts Tmi
x F .D.vel
0.05 Re D ,
D
x F .D.th
0.05 Re D Pr
D
x F .D.vel
x
F .D.th 10
D
D
1 2 T
1
T
1
T
T
k
kr
2
r 2 sin k sin q c p t
2
2
r r sin
r r
1 T 1 T T
T
k
kr
2
z k z

MCG 3110 - HEAT TRANSFER
Chapter 9: Natural Convection
Summary of empirical correlations for the average Nusselt number for natural convection over surfaces:
Geometry
Characteristic Range of Ra
Nu
Length
1
Vertical Plate
104-109
Nu = 0.59Ra 4
109-1013
L

MCG 3110 HEAT TRANSFER
Chapter 12
Introduction to Radiation Heat Transfer
I- What is radiation heat transfer?
m
q
q
q
1- Why bodies emit radiation?
2- Characteristics of electromagnetic waves
3- Electromagnetic radiation spectrum
II- What is a blackbody?

MCG3110 Heat Transfer
Chapter 3 - Part 1
VI Example of Application: Thermal Barrier Coatings
Patrick Richer, Ph.D.
VI - Example of Application: Thermal Barrier Coatings
1) What is a coating?
Covering layer of material applied to the surface of an object/c

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 1: Introduction to Heat Transfer
S1) The roof of an electrically heated home is 6m long, 8m wide and 0.25m thick and is
made of concrete whose thermal conductivity is k = 0.8 W/mC. On a certain
winter ni

Chapter 2 - Conduction
The Heat Diffusion Equation in Non-Cartesian Coordinates
Cylindrical Coordinates:
1 T 1 T T
T
&
+ k
k
+ q = c p
kr
+ 2
r r r r z z
t
Spherical Coordinates:
T
T
T
1 2 T
1
1
&
k
kr
+ 2
+ r 2 sin k sin + q = c p t
2
2
r r

Boundary Conditions for the Heat Diffusion Equation
1. Constant specified temperature (Dirichlet)
T(0, t) = T0
and
T(L, t) = T1
2. Specified heat flux (Newmann)
q0 = k
T (0, t )
x
and
qL = k
T ( L, t )
x
3. Perfectly insulated surface (Adiabatic)
T (0, t

QAPTER l;- INTRO TO We. _
Sow-nous TC) 5066557750 pKt3t=~MS
PROBLEM 12 25
KNOWN: Sun has equivalent blackbody temperature of 5800 K Diameters of sun and earth as well
as separation distance are prescribed.
FIND: Temperature of the earth assuming the ear

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 12: Introduction to Radiation Heat Transfer
S1) Consider a 20-cm diameter spherical ball at 800K suspended in the air. Assuming
that the ball closely approximates a blackbody, determine (a) the total bla

MCG3110 Heat Transfer
Answers to Quiz Problems
Quiz 1 Review of Thermodynamics
a) QTotal = 132 255kJ
b) Time = 88.2s
Quiz 2 Introduction to Heat Transfer
a)
d)
Ts = 563C (Assuming Tinf = 21C and h = 28 W/mK)
T = 10.0C
Quiz 3 Introduction to Conduction
Pro

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 5: Transient Conduction
S1) In a production facility, large brass plates of 4cm thickness that are initially at a
uniform temperature of 20C are heated by passing them through an oven that is
maintained

MCG 3110 - HEAT TRANSFER
Quiz #2 Introduction to Heat Transfer
Tuesday, February 1st, 2011
Part 1 - Short questions (30 marks)
1. Name the different heat transfer modes, and for each mode provide the following information:
(a) The physical mechanism (plea

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 2: Introduction to Conduction
S1) Consider a steam pipe of length L = 20m, inner radius r1 = 6cm, outer radius r2 =
8cm, and thermal conductivity k = 20 W/mC. The inner and outer surfaces of the
pipe are

.I
CHAPTER 3- TeAumem Comma-now P
SOLUTIONS To Suoaesma) PMBLQMS
3 / 4%: (37;; mm 4ch (M)
N *3 ( 4=2mm f: 7332 IM;
c = 559 7/5k
H [4 ;
up 'Cryoouoo'c F'né 1: gr T=IHOC [gigTW/MK )
4 . '-' Av . 320.
h .5300 Wu 6 C
T: : 500 C l/
-> Skm" by Lu

CHAPTER 5. CowveeTzoM 'u INRRMAL Fm:
$0ur<cwg To SUGbESIéQ P135131ng
PROBLL 8.7
KNOWN: V'elocrty and tenpenture proles for lamina ow in a tube ofradius r. = 10 mm
FIND: Mean (or bulk) temperature. T.. at this axial position
SCHEMAIIC:
ASSUMPTIONS: (1

MCG 3110 HEAT TRANSFER
Chapter 6
Introduction to Convection
I- What is the objective of this chapter?
m
II- What is going on inside a fluid flowing?
m
q
1- Navier-Stokes Equations
2- Local convection coefficient
q
III- What is going on inside a boundary l

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 6: Introduction to Convection
S1
Water at a temperature of T = 25C flows over one of the surfaces of a steel wall (AISI 1010)
whose temperature is Ts,1 = 40C. The wall is 0.35m thick, and its other surfa

MCG 3110 HEAT TRANSFER
Chapter 7
Convection in External Flows
I- What are the non-dimensional forms of the boundary layer
equations and Nusselt number?
m
II- What is the Nusselt number of a laminar parallel flow
over a flat plate?
m
q
1- Blasius solution

MCG 3110 - HEAT TRANSFER
Suggested Problems
Chapter 7: Convection in External Flows
S1
Consider the wing of an aircraft as a flat plate of 2.5m length in the flow direction. The
plane is moving at 100 m/s in air that is at a pressure of 0.7 bar and a temp