I've found the solution. Carslaw & Jaeger (Conduction of Heat in Solids) solve the problem for h(t)\equiv h_0 constant. Duhamel's theorem can then be used to generalize the solution to the problem with a time-dependent boundary condition h(t).
I'm trying to find an analytical solution (probably containing a convolution integral) to a 2D diffusion problem in the xy-plane, when the value h(t) at the origin is known for all times t>=0. The diffusion constant is the same everywhere.
The last problem solved under the section...
I asked one of the professors today (by mail) and he confirmed that you need the volume in addition to the point (p,T) to determine the mass fractions. He also said that "Gibb's phase rule still holds because it does not concern itself about the relative mass fractions in each phase".
In my...
Thanks for your reply TobyC! I think I agree with your conclusion. It seems odd if you can't change the mass fractions...
However, I'm not sure either how this is in agreement with Gibb's phase rule. Something has to be wrong about my first reasoning:
Maybe the vapor mass fraction isn't an...
Assume you have a (closed) system with only one component (for instance water) which is in a pressure-temperature-point (p,T) *on the saturation curve* (i.e. liquid and vapor/gas can coexist). Are the mass fractions in the vapor and liquid phases unique? Or is it possible to change the mass...