The Effect of the Vadasz Number on the Onset of Thermal Convection in Rotating Bidispersive Porous Media

Abstract

The onset of thermal convection in uniformly rotating bidispersive horizontal porous layer, uniformly heated from below, is analyzed. A generalized Darcy equation for the macro-phase is considered to take the Vadasz number into account. It is proved that the presence of the Vadasz number can give rise to oscillatory motion at the loss of stability of thermal conduction solution.

Optimal Stability Thresholds in Rotating Fully Anisotropic Porous Medium with LTNE

“…Moreover, anisotropy is a property of artificial porous materials, as well, for example materials used in chemical engineering. Because of the emerging utilization of fully anisotropic porous materials in many applications to real life, the majority of investigations on thermal convection in porous media dealt with anisotropic porous materials (Malashetty et al 2005;Tyvand and Storesletten 2015;Storesletten 2004;Capone et al 2010Nield and Kuznetsov 2019;Kuznetsov et al 2015;Capone and De Luca 2020;Capone and Rionero 2016a;Storesletten and Rees 1997;Govender and Vadasz 2007).…”

The onset of thermal convection in anisotropic and rotating bidisperse porous media

“…The key role of rotation on the onset of thermal convection in porous materials has been pointed out by many authors in view of its practical applications in geophysics and in engineering (food process industry, chemical process industry, centrifugal filtration processes, rotating machinery) [30], hence the study of thermal convection in rotating BDPM may be necessary and useful as well, see for instance [2,4], which deal with the onset of convection in a horizontal layer of rotating isotropic BDPM, according to Darcy's law and taking into account the Vadasz term, respectively, or [3], which analyzes the onset of convection in a horizontally isotropic rotating BDPM.…”

Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media

“…The study of fluid flow in rotating porous media is motivated by its theoretical significance and practical applications (see [3,[5][6][7][8]14,29] and the references therein) like, for example, in geophysics and in engineering (food process industry, chemical process industry, centrifugal filtration processes, rotating machinery). For instance, in [6], Capone et al analyse the influence of vertical rotation on the onset of convection in a single temperature BDPM, according to Darcy's law, while in [8], the authors investigate the onset of convection in a horizontal, vertical rotating, anisotropic porous layer assuming a local thermal non-equilibrium.…”