2. The lateral surface of a 50-units-long, thin vertical rod is insulated. When 0

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8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.1P: Consider a flat plate or a plane wall with a thickness L and a long cylinder of radius r0. Both of...
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2. The lateral surface of a 50-units-long, thin
vertical rod is insulated. When 0<y<20 and
20<y<50, respectively, the temperature
distribution is u(y,0)=80 and u(y,0)=50,
respectively. a. If the rod's lower and upper
ends are exposed to temperatures of 10 and
30, respectively, find the temperature
distribution u(y,t) in the rod. b. Identify the
temperature by u (25,5). In the PDE, use a^2=1.
Transcribed Image Text:2. The lateral surface of a 50-units-long, thin vertical rod is insulated. When 0<y<20 and 20<y<50, respectively, the temperature distribution is u(y,0)=80 and u(y,0)=50, respectively. a. If the rod's lower and upper ends are exposed to temperatures of 10 and 30, respectively, find the temperature distribution u(y,t) in the rod. b. Identify the temperature by u (25,5). In the PDE, use a^2=1.
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