Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

Abstract

Purpose The purpose of this paper is to investigate the three fundamental flows (namely, both the plates moving in opposite directions, the lower plate is moving and other is at rest, and both the plates moving in the direction of flow) of the Ree-Eyring fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the intention of the study is to examine the effect of different physical parameters on the fluid flow. Design/methodology/approach The mathematical modeling is performed on the basis of law of conservation of mass, momentum and energy equation. The modeling of the present problem is considered in Cartesian coordinate system. The governing equations are non-dimensionalized using appropriate dimensionless quantities in all the mentioned cases. The closed-form solutions are presented for the velocity and temperature profiles. Findings The graphical results are presented for the velocity and temperature distributions with the pertinent parameters of interest. It is observed from the present results that the velocity is a decreasing function of Hartmann number. Temperature increases with the increase of Ree-Eyring fluid parameter, radiation parameter and temperature slip parameter. Originality/value First time in the literature, the authors obtained closed-form solutions for the fundamental flows of Ree-Erying fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the results of this paper are new and original.

Effects of multiple slip conditions on hydromagnetic flow of Jeffrey fluid over a deformable porous channel

“…18 The impact of 3 on the concentration (y) Fig. 19 The impact of Br on the temperature (y) Fig. 20 The impact of on the temperature (y) Fig.…”

“…Numerical solutions for unsteady flows of a MHD Jeffrey fluid between parallel plates through a porous medium were discovered by Ramesh and Joshi [18]. Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluids flows through porous medium with slip boundary conditions were developed by Ramesh and Eytoo [19]. Venkata Satya Narayana et al [20] studied numerical study of a Jeffrey fluid over a porous stretching sheet with heat source/sink.…”

MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

“…They concluded that thermal boundary layer enhances for increasing values of Biot number. Ree-Eyring uid over a parallel plate has been studied by Ramesh and Eytoo [27] considering heat transfer and slip boundary conditions. They analysed the e ect of porous medium and Ree-Eyring uid parameter.…”

Effect of Thermal Radiation on an Unsteady Magnetohydrodynamic Double Diffusive Boundary Layer Flow past a Permeable Infinite Vertical Plate with Heat Source

“…The expressions for the distributions of temperature, concentration and velocity were computed and skin friction, Nusselt number and Sherwood number were analyzed. Ramesh and Eytoo [11] examined the effect of diverse physical parameters on fluid flow. Three Ree-Eyring fluid between infinitely parallel plates with the effects on various parameters were considered.…”