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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Chapter 3, Problem 3.14P
To determine
The daily heat loss through the wall.
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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.
=
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.
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Q1/ Consider a large plane wall of thickness L=0.03 m. The wall surface at x =0
is insulated, while the surface at x =L is maintained at a temperature of 30°C. The
thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the
wall at a rate of g = 9oe0.5x/L W/m³ Where g, = 8 x 10 W /m². Assuming
steady one-dimensional heat transfer, (a) express the differential equation and the
boundary conditions for heat conduction through the wall, (b) obtain a relation for
the variation of temperature in the wall by solving the differential equation, and (c)
determine the temperature of the insulated surface of the wall.
Chapter 3 Solutions
Introduction to Heat Transfer
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