Non-linear diffusion with concentration-driven flows in miscible systems

The paper applies the established theories of non-linear diffusion and flows driven by surface tension to the dynamical behavior of a miscible mixture. Results are presented for the dissolution of particles initially created by spinodal decomposition but which are subsequently heated into a region of miscibility. The resulting non-linear diffusion and concentration-driven flows are simulated for a 2D system using zero flux and no slip boundary conditions at the walls. Computer simulations provide valuable information regarding the role of hydrodynamics in the dissolution process.