Steady and oscillatory analysis of porous catalysts in fluidized beds

Abstract

In this paper, we consider the steady /oscillatory flow field within a porous particle contained in a fixed or fluidized bed, in which the spherical porous particle is placed in a spherical envelope of fluid. Stokes equations are employed inside the fluid envelope and Brinkman/Darcy equations are used inside the porous region. We compute drag force acting on the particle and hence the overall bed permeability of the bed. Consider a porous sphere of radius a and permeability k centered in a spherical envelope of radius b, which contains a Newtonian fluid of viscosity µ f . We consider Stokes equation for the flow inside the fluid envelope given byand in the porous region Darcy's law asin case of oscillatory model and the Brinkman equationin case of steady model. In the above equations (V, P ) represents velocity and pressure respectively and superscripts p and f denote flow quantities in the porous region and fluid region respectively. The governing equations are non -dimensionalized usingX = X a ,Ṽ p =