Heat and Mass Transfer: Fundamentals and Applications
5th Edition
ISBN: 9780073398181
Author: Yunus A. Cengel Dr., Afshin J. Ghajar
Publisher: McGraw-Hill Education
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Chapter 2, Problem 88P
(a)
To determine
The differential equationfor heat conduction through the wall.
The boundary condition for heat conduction through the wall.
(b)
To determine
The variation of the temperature in the wall.
(c)
To determine
The temperature of the insulated surface.
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a. The wall of a building has a surface area of 50 m2. The outside layer of the wall is 20 cm thick concrete with thermal conductivity kcon = .8 W/m-K. The inner layer is 10 cm thick balsa wood (kbalsa = .048 W/m-K) as an insulator. Outside temperatures of 47o C are expected, while an inside temperature of 21o C is maintained by the cooling system. Find the rate of heat transfer through the wall.
Q: A large plane wall of thickness (L= 0.3 m), thermal conductivity (k = 40 W/m-°C),
and surface area 0.4 m2. The left side of the wall is maintained at a constant temperature
of 70°C while the right side loses heat to the surrounding air with heat flux q' expressed
by:
1200k
q = k+20L
A- Find a relation to determine the variation of temperature in the wall.
B- Determine the rate of heat transfer through the wall.
C- Determine the temperature at the right side of the wall.
wall
T1= 70 °C
L= 0.3m
A 1-D conduction in a plane composite wall. The outer surfaces are exposed to a fluid at 25 °C
and a convection heat transfer coefficient of 1000 W/m²/K. The middle wall B experiences
uniform heat generation qB, while there is no generation in walls A and C. The temperatures at
the interfaces are T₁ = 261 °C and T₂ = 211 °C. Find ġ and thermal conductivity kg.
T₁
T2
Too, h
111
A
B
ав
-2LB
KA = 25 W/m.K
kc = 50 W/m.K
Ick
LA = 30 mm
LB = 30 mm
Lc = 20 mm
Too, h
Chapter 2 Solutions
Heat and Mass Transfer: Fundamentals and Applications
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