Aplane wall of length l, constant thermal conductivity k and no thermal energy generation undergoes one-dimensional, steady-state conduction. the left hand side surface of the wall is subjected to a constant heat flux q the right hand side surface has a uniform temperature of t,. using the standard approach, find the temperature distribution, the heat flux and rate of heat transfer.

Temperature distribution is

Heat flux=q

Heat rate=q A  

Explanation:

We know that for no heat generation and at steady state

a and are the constant.

Given that heat flux=q

We know that heat flux given as

From above we can say that

Alos given that when x= L temperature is T(L)=T

So temperature T(x)

So temperature distribution is

Heat flux=q

Heat rate=q A         (where A is the cross sectional area of wall)

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