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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v39.i6.50
pages 535-557

Effect of Gravity Modulation on the Onset of Thermal Convection in Rotating Viscoelastic Fluid and Porous Layer

S . N. Gaikwad
Department of Mathematics, Gulbarga University, Jnana Ganga, Gulbarga-585106, India
Irfana Begum
Department of Mathematics, Gulbarga University Gulbarga 585 106, India

ABSTRACT

The combined effect of gravity modulation and rotation on the onset of thermal convection in a viscoelastic horizontal fluid layer and a fluid-saturated porous layer is studied analytically using linear stability theory. The regular perturbation method based on small amplitude of modulation is employed to compute the critical value of Rayleigh number and wavenumber. The correction critical Rayleigh number is calculated as a function of Deborah number, Taylor number, Prandtl number, Darcy number, frequency of the modulation and normalized porosity. It is shown that in general the gravity modulation produces a stabilizing effect in case of viscous fluid and Darcy porous layer and both destabilizing and stabilizing effects in case of Brinkman porous layer. It is shown that the onset of convection can be advanced or delayed by proper tuning of various governing parameters.


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