TITLE:
Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer
AUTHORS:
Narayanappa Manjunatha, Ramakrishna Sumithra
KEYWORDS:
Triple Diffusive, Thermal Marangoni Convection, Composite Layer, Temperature Profiles
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.9 No.8,
August
22,
2019
ABSTRACT: 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.