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Consider a one dimensional plane wall with a thickness 2L. The surface at x = – L is subjected to convective conditions characterized by T[infinity],1, h1, while the surface at x = + L is subjected to conditions T[infinity],2, h2. The initial temperature of the wall is To = (T[infinity],1 + T[infinity],2)/2 where T[infinity],1 > T[infinity],2. Write the differential equation and identify the boundary and initial conditions that could be used to determine the temperature distribution T(x,t) as a function of position and time.

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batolisis

Answer:

hello your question is incomplete attached below is the missing diagram

answer: [tex]\frac{d^2T}{dx^2} = \frac{1}{\alpha } \frac{dT}{dt}[/tex]

Explanation:

To get the differential equation we have to simplify the heat equation hence we get this

[tex]\frac{d^2T}{dx^2} = \frac{1}{\alpha } \frac{dT}{dt}[/tex]

Identifying the boundary and initial conditions is attached below

Ver imagen batolisis
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