# Homework Help: Steady state temp. distribution

1. Jan 20, 2016

### obscure

1. The problem statement, all variables and given/known data

2. Relevant equations
ıt is nonhomog type ,2D heat conduction problem

3. The attempt at a solution
I don't understant To parts so I couldn't attemp a solution.

2. Jan 20, 2016

### Staff: Mentor

What makes you think it is a 2D problem?

3. Jan 20, 2016

### obscure

Shouldn't we found T(x,y)
and for upper and lower parts should I write as afuction of x To(x) and then define new temperature variable Q=T-To to eliminate nonhomog on the left side

4. Jan 20, 2016

### Staff: Mentor

From the figure, it looks to me like the heat flow is 1D from the left side to the right side. T = T(x).

5. Jan 20, 2016

### obscure

What about the upper and lower boundaries?
Bc should be x=0 t=to
X=b/2 t=to
Y=0 dt/dy =0
Y=b t= to(x)

6. Jan 21, 2016

### Staff: Mentor

Does the following satisfy all the boundary conditions: $T=T_0\left(1-\frac{x}{a}\right)$?