Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 5, Problem 5.107P
To determine
The minimum sample thickness that can be measured.
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Fig. 4 illustrates an insulating wall of three homogeneous layers with conductivities k1, k2, and k3 in
intimate contact. Under steady state conditions, both right and left surfaces are exposed to a temperature
in a steady state condition at ambient temperatures of T and T , respectively, while ß, and BLare the
film coefficients respectively. Assume that there is no internal heat generation and that the heat flow is
one-dimensional (dT/dy = 0). For the illustrated ambient temperature in Fig. 4, determine the
temperature's distribution at each layer.
Material 3
Material 1
Material 2
T= 100
T= 35 °C
Kı=20
K3=50 (W/m.k)
K3=30 (W/m.k)
B1= 10 w/m² °K
(W/m.k) BR= 15 w/m²°K
50 mm
35 mm
25 cm
Fig. 4
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Topic: Thermodynamics
Question 2:
The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, kA 20 W/m K and kC50 W/m K, and known thickness, LA 0.30 m and LC 0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB 0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o 20°C, an inner surface temperature of Ts,i 600°C, and an oven air temperature of T 800°C. The inside convection coefficient h is known to be 25 W/m2 K. What is the value of kB?
Chapter 5 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 5 - Consider a thin electrical heater attached to a...Ch. 5 - The inner surface of a plane wall is insulated...Ch. 5 - A microwave oven operates on the principle that...Ch. 5 - A plate of thickness 2L, surface area As, mass M,...Ch. 5 - For each of the following cases, determine an...Ch. 5 - Steel balls 12 mm in diameter are annealed by...Ch. 5 - Consider the steel balls of Problem 5.6, except...Ch. 5 - The heat transfer coefficient for air flowing over...Ch. 5 - A solid steel sphere (AISI 1010), 300 mm in...Ch. 5 - A flaked cereal is of thickness 2L=1.2mm. The...
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