Abstract:
The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some
porous medium
ow in chemical reactors of packed bed type. The results concerning the
existence and uniqueness of a weak solution are presented for nonlinear convective
ows
in medium with nonconstant porosity and for small data. Furthermore, the finite element
approximations to the
ow profiles in the fixed bed reactor are presented for several
Reynolds numbers at the non-Darcy's range