Unsteady MHD squeezing flow of Jeffrey fluid in a porous medium with thermal radiation, heat generation/absorption and chemical reaction

Abstract

The numerical study is presented for the magnetohydrodynamic (MHD) squeezing flow of Jeffrey fluid between two parallel plates in a porous medium with the presence of thermal radiation, heat generation/absorption and chemical reaction. The effect of joule heating and viscous dissipation are also examined. Similarity transformation is implemented to transform the governing nonlinear partial differential equations into the system of ordinary differential equations. The resulting equations are solved via numerical scheme of Keller-box method. The accuracy of the present results is validated by comparing the skin friction coefficient, Nusselt and Sherwood numbers with previous published works. The results are noticed in good agreement. Findings reveal that fluid velocity and wall shear stress accelerate when the plate is squeezed. Also, the fluid velocity, temperature and concentration reduce with increase in ratio of relaxation to retardation times and Hartmann number. The increment of viscous dissipation and heat source/sink boost the fluid temperature and the rate of heat transfer. Meanwhile, the presence of thermal radiation decreases the fluid temperature and increases the rate of heat transfer. Further, the rate of mass transfer elevates in the destructive chemical reaction and reverse effect is shown in the convective chemical reaction.

Heat and mass transfer on MHD squeezing flow of Jeffrey nanofluid in horizontal channel through permeable medium

“…The non-dimensional variables are implemented to reduce the partial differential equations to ordinary differential equations [ 22 ]; …”

“…Jeffrey fluid is classified as Non-Newtonian fluid due to the flow behaviour depends on the shear stress applied. The fluid acts as a solid if the shear stress exerted is lower than yield stress, whereas the fluid begins to flow if the shear stress exerted is more than yield stress [ 22 , 23 ]. The mathematical model of Jeffrey fluid used time derivatives as an alternative to convective derivatives.…”

Computation of magnetohydrodynamic electro-osmotic modulated rotating squeezing flow with zeta potential effects

“…They utilized the Derjaguin-Landau-Verwey-Overbeek theory, noting that the electro-viscous effect strongly increases the dissipative hydrodynamic interaction force and sharpens the velocity profiles in the thin electrolyte solution film. Magnetofluid squeeze film studies Noor et al [19] who examined transient viscoelastic radiative reactive squeezing flow between two plates using a finite difference procedure. Shah and Patel [20] deployed the Rosensweig ferrohydrodynamic theory to derive a general modified Reynolds equation for ferrofluid (FF) lubricated circular discs porous squeeze film-bearings, under oblique and radially variable magnetic field.…”

Heat and mass transfer of MHD Jeffrey nanofluid flow through a porous media past an inclined plate with chemical reaction, radiation, and Soret effects

“…Jeffrey fluid is classified as non‐Newtonian fluid due to the flow behavior depends on the shear stress applied. The fluid acts as a solid if the shear stress exerted is lower than the yield stress, whereas the fluid begins to flow if the shear stress exerted is more than the yield stress 19,20 . The mathematical model of Jeffrey fluid used time derivatives as an alternative to convective derivatives.…”

“…The fluid acts as a solid if the shear stress exerted is lower than the yield stress, whereas the fluid begins to flow if the shear stress exerted is more than the yield stress. 19,20 The mathematical model of Jeffrey fluid used time derivatives as an alternative to convective derivatives. The parameter of relaxation and retardation times in the Jeffrey model is significant for the representation of the viscoelastic properties in the polymer sectors.…”