Recent content by kabaer

First of all, thank you very much dealing with this problem. Of course, the total derivative will give the missing (first) term of the solution if I put df=d\gamma. But this leaves me with the residual partial derivatives, which are not in accordance with my former route of transformation. Maybe...

Ok I'm sorry for that. The continuity equation is only the simplest one of the transformed equations. The hole set of equations comprise in addition the "species conservation equation" and "energy conservation equation". These equations form the differential equations for a droplet vaporizing or...

Yes, D is the diffusion coefficient. The density is vary in time and space since it represents the mass at the point r in every instance t. \frac{\partial \rho}{\partial t}=\frac{\partial}{\partial t} \gamma\rho_0=\gamma \frac{\partial \rho_0}{\partial t}+\rho_0\frac{\partial \gamma}{\partial...

Hey there, I trying to understand the following coordinate transformation of the equation of continuity (spherical coordinates) for a vaporizing liquid droplet\frac{\partial \rho}{\partial t} + \frac{1}{r^2} \frac{\partial}{\partial r} (r^2 \rho v) = 0 into \epsilon \sigma \frac{\partial...