By a porous medium we mean a material consisting of a solid matrix with an interconnected
void. We suppose that the solid matrix is either rigid (the usual situation) or it undergoes …

The linear stability of thermal buoyant flow in a fluid-saturated vertical porous slab is studied
under the assumption of weak and strong horizontal heterogeneities of the permeability. The …

New analytical models are introduced to describe the motion of a Herschel–Bulkley fluid
slumping under gravity in a narrow fracture and in a porous medium. A useful self-similar …

Heat transfer through a Forchheimer medium in an unsteady magnetohydrodynamic (MHD)
developed differential-type fluid flow is analyzed numerically in this study. The boundary …

The stability of mixed convection in a vertical porous slab whose vertical walls are rigid and
maintained at constant but different temperatures is investigated in the presence of gravity …

The stability of the conduction regime of natural convection in a porous vertical slab
saturated with an Oldroyd-B fluid has been studied. A modified Darcy's law is utilized to …

The effects of the vertical throughflow of a non-Newtonian power-law fluid on the onset of
convective instability in a horizontal porous layer are investigated. The extended Darcy's …

The effect of local thermal nonequilibrium (LTNE) on the stability of natural convection in a
vertical porous slab saturated by an Oldroyd-B fluid is investigated. The vertical walls of the …

The thermoconvective instability of the parallel vertical flow in a fluid saturated porous layer
bounded by parallel open boundaries is studied. The open boundaries are assumed to be …

One-dimensional flows of gravity currents within horizontal and inclined porous channels
are investigated combining theoretical and experimental analysis to evaluate the joint effects …