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.
Highlights
The onset of thermal convection is a very active research field due to the numerous applications in real world phenomena
A bidispersive porous medium is composed by clusters of large particles that are agglomerations of small particles that can be looked as a porous medium in which fractures or tunnels are introduced
The aim of this paper is to investigate the influence of inertia effect on the onset of convection in bidispersive rotating porous medium, but considering the effect of a non-zero inertia term in the macro fluid velocity equation
Summary
The onset of thermal convection is a very active research field due to the numerous applications in real world phenomena (see, for example, [1,2,3] and references therein). The effect of Vadasz number has been widely studied for a single porosity medium [11,12,13,14,15,16,17,18,19], together with other effects, such as the influence of an external magnetic field acting on an electrically conducting fluid [15] and the presence of a chemical dissolved in the fluid [16]. In these models, a generalized Darcy equation is employed to include the time derivative term, multiplied by a positive constant, of the seepage velocity
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