Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 1, Problem 1.2P
The heat flux that is applied to the left face of a plane wall is
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Consider a large plane wall of thickness L=0.3 m, thermal conductivity k = 2.5 W/m.K,
and surface area A = 12 m². The left side of the wall at x=0 is subjected to a net heat
flux of ɖo = 700 W/m² while the temperature at that surface is measured to be T₁ =
80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a)
express the differential equation and the boundary equations for steady one-
dimensional heat conduction through the wall, (b) obtain a relation for the variation of
the temperature in the wall by solving the differential equation, and (c) evaluate the
temperature of the right surface of the wall at x=L.
Ti
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L
X
Thermodynamics
In a solid sphere of 0.2 m diameter, heat is generated at the rate of 1.2 x 106 W/m3. The center temperature is 300°C. Conductivity is 50 W/m-K. What is the surface temperature?
The temperature distribution across a wall 0.3 m thick at a certain instant of time is T(x) = a+ b+cx?, where T is
in degrees Celsius and x is in meters, a = 200°C,b = -200°, and c =
conductivity of 1 W /m · K.
30°C/m² . The wall has a thermal
(a) On a unit surface area basis, determine the rate of heat transfer into and out of the wall and the rate of change of
energy stored by the wall.
(b) If the cold surface is exposed to a fluid at 100°C, what is the convection coefficient?
k=1W/m•k
T(x) =200-200x + 30x²
200°C-
ĖST
142.7°C
q"out
| Fluid
Too = 100°C,h
9"in
|L-0.3m
Chapter 1 Solutions
Introduction to Heat Transfer
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