Question

The temperature distribution in the rod at any subsequent time t has the form
θ(x,t)= θ_0+∑_(n=1)^∞▒〖B_n e^(-k/ρc ((n^2 π^2)/l^2 +h/KA)t ) Sin (nπx/l)〗

Suppose the problem is clearly symmetric about the mid-point of the rod. If you wished to find the solution θ(x,t) numerically, then, in order to save computer storage space and time, you might only consider half of the rod.This would introduce a new boundary at the mid-point of the rod. What boundary condition would you impose at this new boundary? Check that this condition is satisfied at the mid-point for all time t.

Answer 1

Can you retype the equation. It's hard to read.

Answer 2

ok i will draw