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

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.

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Penetrative ferro-thermal-convection in high porosity anisotropic porous layer via internal heating

10.1063/5.0029842 ◽

2020 ◽

Author(s):

Savitha Y. L. ◽

C. E. Nanjundappa ◽

I. S. Shivakumara

Keyword(s):

Porous Layer ◽

Thermal Convection ◽

High Porosity ◽

Internal Heating

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Ferro-thermal-convection in a micropolar ferrofluid saturated porous layer and submitted to a Robin thermal boundary condition

10.1063/5.0030129 ◽

2020 ◽

Author(s):

A. Pavithra ◽

C. E. Nanjundappa

Keyword(s):

Boundary Condition ◽

Porous Layer ◽

Thermal Convection ◽

Thermal Boundary Condition ◽

Saturated Porous Layer

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On the determination of a generalized Darcy equation for yield-stress fluid in porous media using a Lattice-Boltzmann TRT scheme

The European Physical Journal E ◽

10.1140/epje/i2013-13139-3 ◽

2013 ◽

Vol 36 (12) ◽

Cited By ~ 28

Author(s):

Laurent Talon ◽

Daniela Bauer

Keyword(s):

Porous Media ◽

Yield Stress ◽

Lattice Boltzmann ◽

Yield Stress Fluid ◽

Darcy Equation

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An autonomous system for thermal convection of viscoelastic fluids in a porous layer using a thermal nonequilibrium model

Frontiers of Energy and Power Engineering in China ◽

10.1007/s11708-010-0017-x ◽

2010 ◽

Vol 4 (4) ◽

pp. 507-516

Author(s):

Qi Wei ◽

Xiaohui Zhang

Keyword(s):

Porous Layer ◽

Thermal Convection ◽

Autonomous System ◽

Viscoelastic Fluids ◽

Thermal Nonequilibrium ◽

Nonequilibrium Model

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Finite element-based evaluation on the role of various shaped containers (oil saturated porous media) for entropy generation versus heating efficiency involving thermal convection with identical heating

Numerical Heat Transfer Part A Applications ◽

10.1080/10407782.2021.1884413 ◽

2021 ◽

pp. 1-80

Author(s):

Leo Lukose ◽

Tanmay Basak

Keyword(s):

Finite Element ◽

Porous Media ◽

Entropy Generation ◽

Thermal Convection ◽

Saturated Porous Media ◽

Heating Efficiency

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Flow Visualization Studies of Two-Phase Thermal Convection in a Porous Layer

Geothermics and Geothermal Energy ◽

10.1007/978-3-0348-6525-8_28 ◽

1979 ◽

pp. 321-330

Author(s):

C. H. Sondergeld ◽

D. L. Turcotte

Keyword(s):

Flow Visualization ◽

Porous Layer ◽

Thermal Convection ◽

Two Phase

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Effect of Vadasz Number on Magnetoconvection in a Darcy Porous Layer with Concentration Based Internal Heating

Asian Research Journal of Mathematics ◽

10.9734/arjom/2019/v12i430093 ◽

2019 ◽

pp. 1-13

Author(s):

C. Israel-Cookey ◽

L. Ebiwareme ◽

E. Amos

Keyword(s):

Magnetic Field ◽

Rayleigh Number ◽

Porous Layer ◽

Internal Heat ◽

Lewis Number ◽

Mode Analysis ◽

Internal Heating ◽

Vadasz Number ◽

The Stability ◽

Solutal Rayleigh Number

In this research article, the effect of Vadasz number on magnetoconvection in a Darcy Porous Layer with concentration based internal heating is studied. The flow is governed by the Oberbeck-Boussineq model for Newtonian fluid. The stability analysis method based on the perturbation of infinitesimal amplitude is carried out using the normal mode analysis. The onset criterion for both the stationary and oscillatory convection on the stability of system is obtained. The analysis examines the effects of pertinent parameters on the stability of the system: magnetic field parameter, solutal Rayleigh number, Lewis number and Vadasz number. The result show that, internal heat parameter, and Lewis number, , hastens the onset of instability in the system, whereas magnetic field, , Vadasz number, and solutal Rayleigh number, delay the onset of instability.

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