Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Bifurcation and Instability of Non-Isothermal Parallel Flow in a Vertical Channel Filled With a Highly Permeable Porous Medium
P. Bera, A. Khan, A. K. Sharma
Abstract:
Weakly nonlinear finite amplitude analysis is used to analyze the bifurcation and instability of parallel flow induced by an external pressure gradient and buoyancy force in a linearly heated vertical channel filled with fluid saturated high permeable porous medium. It is an extension of the recent article of Sharma et al [1] where form drag coefficient (cF ) is independent of Reynold’s number (Re). However, in most of the studies to reduce the number of parameter cF is treated as inversely proportional to Re. In the present article a comparative study is made to understand the bifurcation and instability of above flow under above two situations.
Keywords:
finite amplitude analysis, porous media, Non-Darcy model, bifurcation.

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2019.002

In Proceedings Topical Problems of Fluid Mechanics 2019, Prague, 2019 Edited by David Šimurda and Tomáš Bodnár, pp. 9-16 ISBN 978-80-87012-69-7 (Print) ISSN 2336-5781 (Print)