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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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Question
Chapter 3, Problem 3.96P
(a)
To determine
The expression for the steady-state temperature distribution.
(b)
To determine
The heat transfer rate at the outer radius of the shell.
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Students have asked these similar questions
How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of = 1000 kg/m3 and thermal conductivity of k = 0.606 Watts/(mC) and specific heat of c = 4182 J/(kg C). Suppose that an egg is fully cooked when the temperature at the center reaches 70 C. Initially the egg is taken out of the fridge at 4 C and placed in the boiling water at 100 C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100 C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes.
A rectangular nylon [E = 8 GPa; v = 0.35; a = 34 x 10-6/°C] plate has a circular hole in its center. At an initial temperature of T; =
17°C, the plate width is b = 320 mm, the plate height is h = 200 mm, the diameter of the central hole is d = 50 mm, and the
thickness of the plate is t = 24 mm. At a final temperature of T₁= 51°C, determine
(a) the diameter d of the central hole.
(b) the thickness t of the plate.
d
h
Answers:
(a) df = i
(b) t+= i
b
mm
mm
5. Consider a carton of milk that is refrigerated at a temperature of Tm = 5 °C. The
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carton are of height and width L = 200 mm and w= 100 mm, respectively,
determine the heat transferred to the milk carton as it sits on the kitchen counter
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The convection coefficient associated with natural convection on the sides of
the carton is h = 10 W/m²K. The surface emissivity is 0.90. Assume the milk
carton temperature remains at 5 °C during the process. Your parents have
taught you the importance of refrigerating certain foods from the food safety
perspective. Comment on the importance of quickly returning the milk carton to
the refrigerator from an energy conservation point of view.
Chapter 3 Solutions
Introduction to Heat Transfer
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