A nonlinear stability analysis of two superposed semi-infinite viscoelastic electrified fluids streaming through porous media in the presence of vertical electric fields admitting surface charges at their interface is investigated in three dimensions. The method of multiple scales is used to obtain a Ginzburg-Landau equation with complex coefficients describing the behavior of the system. The l...

The qualitative effect of nonuniform temperature gradient on the linear stability analysis of the Rayleigh-Benard convection problem in a Boussinesquian, viscoelastic fluid-filled, high-porosity medium is studied numerically using the single-term Galerkin technique. The eigenvalue is obtained for free-free, free-rigid, and rigid-rigid boundary combinations with isothermal temperature conditions...

In this article, the effects of viscous dissipation and inertial force on the velocity and temperature distributions of the mixed convection laminar flow in a vertical channel partly filled with a saturated porous medium have been studied. In this regard, the Brinkman–Forchheimer extended Darcy model was adopted for the fluid flow in the porous region. In addition, three different viscous dissi...

The thermosolutal instability problem in a horizontal layer of an elasticoviscous nanofluid in porous medium is considered. Walters’ (model B') fluid model is employed to describe the rheological behavior of the nanofluid and for the porous medium, the Darcy model is employed. From the linear stability analysis based upon normal modes analysis method, the dispersion relation accounting for the ...

DURING the past decade, fluid flow and heat transfer through porous media have experienced renewed research interest due to a broad range of applications, including geothermal systems, thermal insulation, metals processing, catalytic reactors, direct-contact heat exchangers, transpiration cooling, filtration, etc. In many practical systems, the porous medium has a high permeability (i.e. the po...

This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The in...

An analysis is suggested to study the impact of Hall currents in Jeffrey fluid which is chemically reactive through a porous medium limited by a semi-infinite vertical permeable plate within the existence of heat generation. An evenly distributed magnetic field turns vertically on the porous surface which absorbs the Jeffrey fluid with a changed suction velocity with time. The analytical expres...

A mathematical investigation of a thermodynamical system linked with energy management and its impact on the environment, especially climate change, is presented in this study. In regard, numerical flow heat transfer hydromagnetic third-grade liquid through porous medium. The permeability medium electrical conductivity fluid are assumed to be temperature functions. appropriate formulations for ...

Pulsatile flow of blood through a porous medium has been studied under the influence of periodic body acceleration by considering blood as a couple stress, incompressible, electrically conducting fluid in the presence of magnetic field. An exact solution of the equation of motion is obtained by applying the Laplace and finite Hankel transforms. The expressions for axial velocity, flow rate, flu...