One dimensional Diffusion Equation with time-dependent BC
Hi everyone! I have been struggling with this problem. Im trying to find an analytical solution to the problem below:
All coefficients are known constants.
I know that it has been solved using Laplace transforms, but the source I have doesn't explain how, and the publications my source are reffering to are impossible to find.
I am having trouble when applying the boundary condition at z=0. When I Laplace transform the boundary condition i get:
dF/dz = (VMK/ZRTDA)*Fs
Can anybody give me a little help as to how I should solve this?