Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump

Abstract

This paper investigates the unsteady free convective flow of heat generating/absorbing fluid through a porous vertical channel with velocity slip and temperature jump. Exact solution of the oscillatory flow problem is obtained in the slip flow regime through a microchannel. The effects of various flow parameters on the temperature and velocity profiles together with the influence of the velocity slip and temperature jump on the rate of heat transfer and the skin friction are presented and discussed. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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

“…Hence, this article aims at investigating the combined influence of radiation, MHD and heat source/sink on an oscillatory fluid flow through a vertical porous channel with slip velocity and temperature jump boundary conditions. In other words, the current work extends the studies of both [5] and [15].…”

“…The importance of a natural convective flow in the case of internal heat generation /absorption fluid through a porous vertical channel has been well discussed in [5], [12] and [22]. In particular, it is pointed out in [12] that the study of such flow has recently been well recognized as a result of the fact that an appreciable increase in temperature difference may cause the volumentric heat generation/absorption to have a great effect on the heat transfer and hence on the flow.…”

“…The present article is mainly motivated by the work [5], [15] and the considerable amount of studies mode on the natural convection with internal heat generation/absorption. Hence, this article aims at investigating the combined influence of radiation, MHD and heat source/sink on an oscillatory fluid flow through a vertical porous channel with slip velocity and temperature jump boundary conditions.…”

“…It is also well known that when Knudsen number (Kn) is zero the no slip condition holds while if Kn is less than 0.001 the continum flow assumption holds. However, when Kn lies between the range [0.001, 0.1] the flow is termed slip and in this regime the classical energy equation as well as the Navier Stokes equation hold (see [3], [5] and [6]). More works on slip flows with various flow configurations can be found in [8, 9, 10 and 11].…”

“…Adesanya [5] investigated the unsteady natural convective flow of an internally heat generating/absorbing fluid through a porous vertical channel under the effect of slip and temperature jump boundary conditions. However, the analysis of the oscillatory flow problem did not take into account the influence of both the magnetic field strength and radiation.…”