Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow

Deepika, N.; Narayana, P.A.L,; Hill, Antony A

Authors

N. Deepika

P.A.L, Narayana

Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching

Abstract

The problem of thermal convection in a horizontal fluid saturated porous layer is examined, where the flow is governed by the Brinkman extension of Darcy's law. A uniform internal heat source and vertical throughflow are also considered. The linear and nonlinear stability analyses are performed in order to determine the stability characteristics of the system. The linear and nonlinear thresholds give good agreement in the absence of vertical throughflow. However, it is shown that there are potential regions of sub-critical instabilities for increasing values of internal heat source parameter Q, Peclet number Pe and Darcy number Da.

Citation

Deepika, N., Narayana, P., & Hill, A. A. (2017). Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow. International Journal of Thermal Sciences, 117, 136-144

Journal Article Type	Article
Acceptance Date	Mar 8, 2017
Online Publication Date	Mar 27, 2017
Publication Date	Jul 1, 2017
Journal	International Journal of Thermal Sciences
Print ISSN	1290-0729
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	117
Pages	136-144
Keywords	porous medium, energy stability analysis, throughflow, internal heat source