Rotating Unsteady Multi-Physico-Chemical Magneto-Micropolar Transport in Porous Media: Galerkin Finite Element Study

Abstract

In this paper, a mathematical model is developed for magnetohydrodynamic (MHD), incompressible, dissipative and chemically reacting micropolar fluid flow, heat and mass transfer through a porous medium from a vertical plate with Hall current, Soret and Dufour effects. The entire system rotates with uniform angular velocity about an axis normal to the plate. Rosseland's diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations for momentum, heat, angular momentum and species conservation are transformed into dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities. The emerging boundary value problem is then solved numerically with a Galerkin finite element method employing the weighted residual approach. The evolution of translational velocity, micro-rotation (angular velocity), temperature and concentration are studied in detail. The influence of many multi-physical parameters in these variables is illustrated graphically. Finally, the friction factor, surface heat transfer and mass transfer rate dependency on the emerging thermo-physical parameters are also tabulated. The finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and an excellent agreement with published solutions is achieved. The study is relevant to rotating MHD energy generators utilizing non-Newtonian working fluids and also magnetic rheo-dynamic materials processing systems.

Steady MHD mixed convection flow of a viscoelastic fluid over a magnetized convectively heated vertical surface with Hall current and induced magnetic field effects

“…In recent years, the investigation of Hall current effect on MHD flows has been given more importance because in many industrial and practical applications, applied magnetic field is very strong or fluid is highly ionized. In light of these, Seth and Singh, 36 Singh et al, 39 Chamkha et al, 42 Seth et al, 43,44 Pandit et al, 45 Reddy et al, 46 Hussain et al, 47 Sarkar and Seth, 48 Makinde et al, 49 Shamshuddin et al, 50 and Sreevani 51 presented the consequences of Hall current on MHD flows by considering various facts and geometries.…”

Theoretical study of non-Newtonian micropolar nanofluid flow over an exponentially stretching surface with free stream velocity

“…Beg et al 20 offered the experimental results about the lubricity and rheology of drilling liquids enriched having nanoparticles. Shamshuddin et al 21 examined the time dependent micropolar fluid flow over rotating desk under the multi-physico-chemical magnetic field. Numerical outcomes of nanofluid effects discussed by Kumar and Sokhal.…”

A Numerical Study on Newtonian Heating Effect on Heat Absorbing MHD Casson Flow of Dissipative Fluid past an Oscillating Vertical Porous Plate

“…Shamshuddin et al [43] studied dissipative radiated micropolar convective fluid from a rotating vertical plate with oscillatory plate velocity adjacent to a permeable medium numerically. Shamshuddin et al [44] studied numerically rotating unsteady multiphysicochemical magneto-micropolar flow in a porous medium from a vertical plate in the presence of Hall current. Shamshuddin and Tirupathi [45] carried out a numerical investigation for dissipative micropolar fluid flow past an inclined porous plate with heat source/sink.…”