ABSTRACT
This paper presents a methodology for the solution of a bimodal advection and diffusion problem using the Finite Differences Method. In addition to the advective transport term and primary diffusion (which corresponds to the Fick’s flux), the bimodal diffusion equation includes a term relative to a secondary flow that is modeled by a fourth order differential term. The problem was analyzed for different initial and boundary conditions and the results are compatible with those presented in previous studies in the literature.
Keywords:
bimodal diffusion; anomalous diffusion; Finite Difference Method; fourthorder differential equation