Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

Abstract

Magnetic field influence on unsteady free convection flow of a second grade fluid near an infinite vertical flat plate with ramped wall temperature embedded in a porous medium is studied. It has been observed that magnitude of velocity as well as skin friction in case of ramped temperature is quite less than the isothermal temperature. Some special cases namely: (i) second grade fluid in the absence of magnetic field and porous medium and (ii) Newtonian fluid in the presence of magnetic field and porous medium, performing the same motion are obtained. Finally, the influence of various parameters is graphically shown.

Heat transfer on Unsteady MHD flow through a porous medium in two vertical plates with Hall effects

“…But, in their research, the solutions of the problem have been obtained by using method of Fourier Sine transform. Samiulhaq et al 12 has contributed a new problem of unsteady free convection flow of second grade fluid with the effect of MHD flows and porous medium. Difference with Hayat et al 10 and Khan et al…”

Unsteady free convection flow of rotating MHD second grade fluid in a porous medium over an oscillating plate

“…Validation of the solution is discussed as limiting cases by considering second grade parameter is equal to zero which similar to the solution of Newtonian fluid. Samiulhaq et al [12] has contributed a new problem of unsteady free convection flow of second grade fluid with the effect of MHD flows and porous medium. Difference with Hayat et al [10] and Khan et al [11], Laplace transform method was used by these researchers.…”

Energy structure of MHD flow coupling with outer resistance circuit

“…The governing equations are identical in Ref. [23][24][25][26][27] while the boundary conditions and fluid materials are individual. The influences of some embedded flow parameters such as the effective Prandtl number and the Schmidt number on velocity, temperature and concentration profiles are discussed in detailed.…”

“…[23] and Ref. [27], some limitations still exist such as disregarding the pressure gradient and induced electric field as well as the absences of viscous dissipation and Joule heat in the energy equation. As stated above, details of fluid field and electromagnetic field of MHD flow under various conditions have been considered in previous literatures.…”