Numerical study of unsteady hydromagnetic radiating fluid flow past a slippery stretching sheet embedded in a porous medium

Abstract

This article reports an unsteady two-dimensional Magneto-hydrodynamic (MHD) boundary layer flow of an incompressible electrically conducting fluid over a slippery stretching sheet surrounded in a porous medium. The Roseland boundary layer approximation with the radiative heat flux is employed within the current analysis. The influence of the velocity slip, thermal radiation, heat source, and buoyancy force is also considered within the current analysis, which makes significant effects on the flow field passages. The unsteady system of non-dimensional partial differential equations (PDEs) with corresponding boundary conditions are solved by implementing the explicit finite difference scheme. In the presence of pertinent parameters such as viscous dissipation, heat source or sink, Prandtl number, Grashof number, thermal radiation, magnetic field, and Darcy number, the accurate movement of the electrically conducting fluid over a slippery sheet is shown graphically in the form of velocity, temperature, skin friction coefficient, and Nusselt number. Unlike the other studies, wherein the system of PDEs is commonly transformed into a system of ordinary differential equations via the similarity transformations, the current study provides an efficient numerical procedure to solve a given system of PDEs without using the similarity transformations which exemplify the precise movement of an electrically conducting fluid over a slippery surface. It has been anticipated that the current boundary layer analysis would provide a platform for solving the system of the nonlinear PDEs of the other unsolved boundary layer models that are associated with the two-dimensional unsteady MHD flow over a slippery stretching surface embedded in a porous medium.

Effects of variable thermophysical properties on mixed convection slip flow over a wedge

“…In this present investigation, the equations set (13)-(15) dealt with the partial slip boundary conditions (16) and (17) is evaluated by employing the finite difference method. The solution techniques have been described in the above sections.…”

“…Several studies 8,26,[28][29][30][31][32] have investigated the fluid flow over stretching or shrinking sheets under the slip boundary conditions. Such types of flow configurations are observed in various engineering and industrial processes, namely, the boundary layer along material handling conveyors, crystal growth, paper production, metallurgical processes, etc.…”

3D MHD cross flow over an exponential stretching porous surface

“…In this direction, Nayak et al extended for non‐Newtonian third‐grade fluids. Hamid et al explored the nanoparticle shape effects on rotating flow while Makinde et al studied the unsteady Magnetohydrodynamics (MHD) flow over a slippery stretching surface embedded in a porous medium. Inspired, many researchers have shown deep interest to study the hydromagnetic flow of different viscous/viscoelastic fluids/nanofluids over stretching/shrinking surfaces subject to different conditions such as radiative heat transfer, variable thermal conductivity, and homogenous and heterogeneous reactions.…”

MHD boundary layer bionanoconvective non‐Newtonian flow past a needle with Stefan blowing

“…The electromotive force is the force generated during the motion of the fluid, when we set an electrically conducting fluid in a magnetic field . The investigations on MHD flows of nanofluids are presented by many researchers …”

“…23 The investigations on MHD flows of nanofluids are presented by many researchers. [24][25][26][27][28][29] The study of the boundary layer flows past a thin needle has received the attention of many researchers because of its many applications. The effects of the non-Newonian flow behavior and the needle size on the boundary layer flow was examined.…”