Effects of non-uniform temperature gradients on surface tension driven two component magneto convection in a porous- fluid system

2019

OJAppS

The problem of triple diffusive Marangoni convection is investigated in a composite layer comprising an incompressible three component fluid saturated, sparsely packed porous layer over which lies a layer of the same fluid. The lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature, insulating to both salute concentration perturbations. At the upper free surface, the surface tension effects depending on temperature and salinities are considered. At the interface, the normal and tangential components of velocity, heat and heat flux, mass and mass flux are assumed to be continuous. The resulting eigenvalue problem is solved exactly for linear, parabolic and inverted parabolic temperature profiles and analytical expressions of the thermal Marangoni number are obtained. The effects of variation of different physical parameters on the thermal Marangoni numbers for the profiles are compared.

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer

2019

OJAppS

“…For the composite layers, Sumithra [9] has studied the triple-diffusive Marangoni convection in a two layer system and obtained the analytical expression for the thermal Marangoni Number. Manjunatha and Sumithra [3][4][5][6] have investigated the combined effects of magnetic field and non uniform basic temperature gradients on two and three component convection in two layer system. In this paper the lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature, insulating to both salute concentration perturbations.…”

Section: Introductionmentioning

confidence: 99%

Triple Diffusive Surface Tension Driven Convection in a Composite Layer in the Presence of Vertical Magnetic Field

2020

IJEAT

 Abstract: The problem of triple diffusive surface tension driven convection is investigated in a composite layer in the presence of vertical magnetic field. A closed form solution is obtained under microgravity condition. The parameters suitable for fluid layer dominant and porous layer dominant composite layers aredetermined. The parameters appropriate for controlling the convection are determined which are useful to manufacture pure crystals.

“…For the composite layers, Manjunatha and Sumithra [15,16,17] are investigated the combined effects of magnetic field and non-uniform basic temperature gradients on two and three component convection in two layer system.…”

Section: Introductionmentioning

confidence: 99%

Effects of Non-uniform Temperature Gradients on Triple Diffusive Surface Tension Driven Magneto Convection in a Composite Layer

2019

ujme

The problem of triple diffusive surface tension driven magneto convection in a composite layer is investigated for linear, parabolic and inverted parabolic temperature profiles. The corresponding thermal Marangoni numbers are obtained analytically depending on various physical parameters of interest. The parameters which are effective to enhance convection and to control convection are determined. From the investigation it is found that the linear profile is suitable for fluid layer dominant composite layer where as parabolic and inverted parabolic profiles are conducive for the porous layer dominant composite layer.