Question

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.

Answer 1

hello your question is incomplete attached below is the missing diagram

answer:
`(d^2T)/(dx^2) = (1)/(\alpha ) (dT)/(dt)`

Step-by-step explanation:

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

`(d^2T)/(dx^2) = (1)/(\alpha ) (dT)/(dt)`

Identifying the boundary and initial conditions is attached below