Influence of Vertical Magnetic Field on the Onset of Rayleigh-Benard-Marangoni Convection in Superposed fluid and Porous Layers with Deformable Free Surface
نویسندگان
چکیده
منابع مشابه
Convection in Superposed Fluid and Porous Layers in the Presence of a Vertical Magnetic Field
A linear stability analysis is applied to a system consisting of a horizontal fluid layer overlying a layer of porous medium saturated with the same fluid, with uniform heating from below in the presence of a vertical magnetic field. The flow in porous medium is assumed to be governed by Darcy’s law. The Beavers-Joseph condition is applied at the interface between the two layers. Numerical solu...
متن کاملMarangoni Convection in a Fluid Saturated Porous Layer with a Deformable Free Surface Nor
The stability analysis of Marangoni convection in porous media with a deformable upper free surface is investigated. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The effect of the Crispation number, Bond number...
متن کاملMarangoni Convection in a Fluid Saturated Porous Layer with a Deformable Free Surface
The stability analysis of Marangoni convection in porous media with a deformable upper free surface is investigated. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The effect of the Crispation number, Bond number...
متن کاملEffect of a magnetic field on the onset of Marangoni convection in a micropolar fluid
With the presence of a uniform vertical magnetic field and suspended particles, thermocapillary instability in a horizontal liquid layer is investigated. The resulting eigenvalue is solved by the Galerkin technique for various basic temperature gradients. It is found that the presence of magnetic field always has a stability effect of increasing the critical Marangoni number. Keywords—Marangoni...
متن کاملMarangoni–Bénard Convection with a Deformable Free Surface
Computations of Marangoni convection are usually performed in twoor threedimensional domains with rigid boundaries. In two dimensions, allowing the free surface to deform can result in a solution set with a qualitatively different bifurcation structure. We describe a finite-element technique for calculating bifurcations that arise due to thermal gradients in a two-dimensional domain with a defo...
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ژورنال
عنوان ژورنال: International Journal of Scientific Research in Mathematical and Statistical Sciences
سال: 2018
ISSN: 2348-4519
DOI: 10.26438/ijsrmss/v5i5.118