Impact of constant heat source/sink on natural convection flow in a vertical channel: a non-linear Boussinesq approximation approach

Akhilesh K. Mishra; Basant Kumar  Jha; Jibulal  Nair; Amarender Reddy  Kommula

doi:10.5269/bspm.78602

Akhilesh K. Mishra Gulf College
Basant Kumar Jha
Jibulal Nair
Amarender Reddy Kommula

Abstract

This study aims to investigate the impact of a constant source/sink on natural convection flow between two vertical walls within a porous medium. The problem is solved analytically for the steady fully developed Brinkman extended Darcy model. The influence of source/sink parameter (S), Darcy number (Da) and viscosities ratio (Rv) on fluid velocity as well as temperature is obtained in this research work. All the results are shown graphically for the variations of their relevant parameters such as Darcy number, heat source/sink parameter and ratio of viscosities. The result illustrates that the velocity profile is more in case of nonlinear density variation with temperature (NDT) than linear density variation with temperature (LDT). There is enhancement in temperature profile with the increment in source/sink parameter. The mathematical expressions for the skin friction are also obtained at both the walls. Mass flow rate in the channel is also derived analytically. Outcome of the study indicates that the nature of flow validates the previous researches done in the same area.

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