# Fourier heat transfer problem.

1. Sep 10, 2008

### Topher925

I need help understanding what a math problem is asking for. Its a fourier heat transfer problem but it just isn't making any sense to me and I don't know what the author is asking for.

1. The problem statement, all variables and given/known data
The heat flux through the faces at the ends of a bar is found to be proportional to un = $$\partial$$u/$$\partial$$n at the ends. Show that if the bar is perfectly insulated, also at the ends x = 0, x = L, (adiabatic conditions) and the initial temperature is f(x), then

ux(0,t) = 0 ux(L,t) = 0 u(x,0) = f(x)

2. Relevant equations

u(x,t) = Ao + $$\sum$$An cos(n$$/pi$$x/L exp[ -(cn$$/pi$$/L)2 t]

3. The attempt at a solution

Am I suppose to assume that the initial temp (f(x)) is at x = 0 for this problem and I have to prove that there is no heat flux at both ends of the rod? Or do I assume that the temperature can be what ever at any point of the rod because it wont matter since the heat flux at the ends is 0?

I hate math texts, its like they write in a different language.