4.21 Consider a plate of thickness L which is initially at zero temperature.At t20 one side is insulated while the other side is maintained at atime dependent temperature given byT = A, t, 0ststa,T = A, t,Use Duhamel's integral to determine the one-dimensional transienttemperature.

Given : To find : 1-D transient temperature

Answered: Consider a plate of thickness L which…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Transient Heat Conduction Cooking a Thanksgiving turkey is an art form and, if your skills in the kitchen are like mine, it is sometimes more of a mystical, elusive art form. Thankfully, science also has much to contribute in the kitchen as well as the laboratory. Let us consider the change in temperature of a common, 20-lb holiday fowl as it is cooked in a convection oven. To simplify the analysis, let's assume the bird can be modeled as a uniform sphere of radius 7.0 in. with a specific heat of 3.53 kJ/kg-K. Moreover, the turkey will be assumed to have a uniform temperature, T, throughout that will change with time as it is cooked according to the following relationship: 。 + (To - T∞)ept T(t) = T∞ + where To is the initial temperature of the turkey, T∞, is the oven temperature, V is the volume of the turkey, As is the surface area of the turkey, and h is the convection coefficient for the scenario which is 11.3 W/m²-K. If the oven is set to 325 °F and the initial temperature of the…
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Consider a plate of thickness L which is initially at zero temperature. At t20 one side is insulated while the other side is maintained at a time dependent temperature given by T = A, t, 0ststa, T = A,t, Use Duhamel's integral to determine the one-dimensional transient temperature.