- #1
jafanasim
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Homework Statement
I am trying to solve this PDE with variable boundary condition, and I want to use combination method. But I have problem with the second boundary condition, which is not transformed to the new variable. Can you please give me some advise?
Homework Equations
(∂^2 T)/(∂x^2 )=1/∝ ∂T/∂t
IC: T(x,0) = Ti
BC1: T(x→∞, t) = Ti
BC2: -k ∂T/∂x|x=0 = h[T∞ - T(0,t)]
The Attempt at a Solution
The combination variable I chose is η= x/((4∝t)^(1⁄2))
My work is attached in a PDF file, please take a look at it. The highlighted boundary condition is the problem.
Thank you