Let an aluminum rod of length 20 cm be initially at the uniform temperature of 25° C. Suppose that at time t = 0, the end r = 0 is cooled to 0° C while the end x = 20 is heated to 60° C, and both are thereafter maintained at those temperatures. (a) Find the temperature distribution in the rod at any time t.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.24P
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Let an aluminum rod of length 20 cm be initially at the uniform temperature of 25° C.
Suppose that at time t = 0, the end x = 0 is cooled to 0° C while the end x = 20 is heated
to 60° C, and both are thereafter maintained at those temperatures.
(a) Find the temperature distribution in the rod at any time t.
Transcribed Image Text:Let an aluminum rod of length 20 cm be initially at the uniform temperature of 25° C. Suppose that at time t = 0, the end x = 0 is cooled to 0° C while the end x = 20 is heated to 60° C, and both are thereafter maintained at those temperatures. (a) Find the temperature distribution in the rod at any time t.
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