Single component Darcy-Benard surface tension driven convection of couple stress fluid in a composite layer
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Abstract
The onset of surface tension driven convection is analyzed in a composite system comprising, an incompressible
couple stress fluid-saturated porous layer over which lies a layer of the same fluid. The lower surface of the
porous layer and upper surface of fluid layer are free and at the interface of the system normal velocity, tangential
velocity, normal stress and tangential stress are assumed to be continuous. An eigenvalue problem is solved
exactly and an analytical expression for the thermal Marangoni number is obtained for adiabatic-adiabatic and
adiabatic-isothermal thermal boundary conditions. The effect of variation of different dimensionless parameters
such as couple stress parameters, thermal diffusivity ratio, viscosity ratio, porosity and wave number on the onset
of Marangoni convection is investigated, as a function of depth ratio.
Keywords:
Couple stress fluid, Surface tension driven convection, Composite layer, Isothermal and Adiabatic thermal boundariesMathematics Subject Classification:
Mathematics- Pages: 797-804
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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