JP Journal of Heat and Mass Transfer
Volume 19, Issue 2, Pages 269 - 288
(April 2020) http://dx.doi.org/10.17654/HM019020269 |
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INFLUENCE OF VISCOSITY VARIATION ON SURFACE DRIVEN CONVECTION IN A COMPOSITE LAYER WITH A BOUNDARY SLAB OF FINITE THICKNESS AND FINITE THERMAL CONDUCTIVITY
Y. H. Gangadharaiah and K. Ananda
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Abstract: Marangoni stability in a layer of composite scheme in which a liquid layer with temperature-dependent viscosity overlies a saturated porous material with boundary slab of finite conductivity is carried out. The relationship between the viscosity and the temperature is assumed of exponential type and eigen value problem resulting from the stability analysis is solved by regular perturbation technique. It has been found the stability characteristics in terms of the critical Marangoni number Mc is profoundly influenced by the conductivity and slab thickness and viscosity variation. Dependency of viscosity parameter, thermal conductivity ratio, and depth ratio is graphically discussed. The current findings may provide useful data in the solidification phase of alloys to understand the convective movement of the melt. |
Keywords and phrases: variable viscosity, thermal conductivity, Marangoni convection, boundary slab.
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