The Onset of Convective Activity in an Anisotropic Porous Medium Layer with Internal Heating and Inconsistent Gravity Effects

  • D. Yadav Department of Mathematical & Physical Sciences, University of Nizwa, Oman

Abstract

In this article, the impact of consistent internal heat source and varying downward gravity force on the onset of convective movement in an anisotropic porous matrix is studied numerically applying the high-term Galerkin technique. The gravity field variations with depth z are considered to be of four types: (a) G(z) = -z, (b) G(z) = -z^2, (c) G(z) = -z^3, and (d) G(z) = -(e^z - 1). Outcomes show that both the thermal anisotropy parameter eta and gravity variation parameter lambda delay the onset of convection, while the internal heating parameter Hs and the mechanical anisotropy parameter xi speed up the arrival of convective activity. The dimension of the convection cells boosts with eta, xi and lambda, while it diminishes with Hs. It is also identified that the system shows maximum stability for case (d), while it is minimum for case (c).

Published
Jul 15, 2020
How to Cite
YADAV, D.. The Onset of Convective Activity in an Anisotropic Porous Medium Layer with Internal Heating and Inconsistent Gravity Effects. Revista Cubana de Física, [S.l.], v. 37, n. 1, p. 24-33, july 2020. ISSN 2224-7939. Available at: <http://www.revistacubanadefisica.org/index.php/rcf/article/view/2020v37p24>. Date accessed: 26 oct. 2020.
Section
Original Articles