This paper concerns the slow viscous flow through a swarm of concentric clusters of porous spherical particles. An aggregate of clusters of porous spherical particles is considered as a hydro-dynamically equivalent to a porous spherical shell enclosing a solid spherical core. The Brinkman equation inside and the Stokes equation outside the porous spherical shell in their stream function formula...

Abstra t. In the present paper, a theoreti al analysis of entropy generation due to fully developed ow and heat transfer through a parallel plate hannel partially lled with a porous medium under the e e t of transverse magneti eld and radiation is presented. Both horizontal plates of the hannel are kept at onstant and equal temperature. An exa t solution of governing equation for both porous an...

In the present paper, double-diffusive convection, taking into account Coriolis effects, in a horizontal layer of Brinkman-anisotropic bi-disperse porous medium is analysed. Via linear instability analysis, we find that convection can set through stationary or oscillatory motions and critical Rayleigh numbers for onset secondary flow (steady convection) overstability (oscillatory are determined.

Abstract—This work consists of a numerical simulation of convective heat transfer in a vertical plane channel filled with a heat generating porous medium, in the absence of local thermal equilibrium. The walls are maintained to a constant temperature and the inlet velocity is uniform. The dynamic range is described by the Darcy-Brinkman model and the thermal field by two energy equations model....

This study examines the possibility of orthotropic porous medium whose streamwise permeability is larger than wall-normal to reduce turbulent friction inspired by recent numerical studies Rosti et al. (2018); G´omez-de Segura and Garc´ıa-Mayoral (2019). Because (2019) used Brinkman equation approximate flow in media, it uncertain that such media really friction. We make a layered medium, which ...

The free conv ection boundary layer flow of a Darcy-Brinkman fluid that is induced by a constant-temperature horizontal semi-infinite surface embedded in a fluid-saturated porous medium is inv estigated in this work. It is shown that both the Darcy and Rayleigh numbers may be scaled out of the boundary layer equations, leav ing a parabolic system of equations with no parameters to vary. The equ...