An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump

Abstract

The present study concerns the natural convective heat generating/absorbing, radiative magnetohydrodynamic, oscillatory fluid flow through a vertical porous channel with slip and temperature jump. The effect of Joule dissipation is taken into consideration while it is assumed that the flow is fully developed. The differential transforms method(DTM) is employed to solve the system of non-linear ordinary differential equations that is obtained from the non-linear partial differential equations governing the flow. Semi analytical solutions of the steady and unsteady part of the flow in the slip flow regime through a vertical porous channel are obtained. The effects of various flow parameters on the velocity and temperature profiles as well as Nusselt and skin friction are presented graphically and discussed. An excellent agreement between the results of this article and those available in the literature validated the presented approach.

Effects of Temperature Fluctuations on Darcy-Forchheimer Flow of Oil-Based Nanofluid with Activation Energy and Velocity Slip

“…Opanuga et al [22] discussed the effects of ion-slip and hall current on the couple stress fluid with entropy generation, temperature jump and slip velocity. Titiloye et al [23] analyzed the numerical solution for an oscillatory and radiating MHD flow through a channel experiencing velocity slip with internal heat generation. Gangadhar et al [24] used non-Fourier Cattaneo-Christov heat flux to investigate the effects of velocity slip and thermal jump on the flow of Maxwell fluids.…”

Influence of heat source on viscous dissipative hydromagnetic fluid flow in a permeable vertical channel subjected to time‐periodic boundary conditions

“…It was concluded that an increase in the value of radiation and heat source parameters enhances the fluid shear stress and decreases the heat transfer rate. Titiloye et al 22 obtained a semianalytical solution of hydromagnetic, internal heat‐generating fluid flow between two plates with slip boundary conditions.…”

“…After a proper survey of the literature, it is discovered that no author has considered the combined influence of heat source/sink and viscous dissipation on the hydromagnetic flow between two permeable vertical periodic plates. Motivated by the above studies in References [1‐5,13,22], the article aimed at examining the effect of heat generation/absorption (heat source/heat sink) on hydromagnetic viscous dissipative natural convective flow in a permeable periodically heated vertical channel.…”