Published 12 issues per year
ISSN Print: 1091-028X
ISSN Online: 1934-0508
Indexed in
EFFECT OF VARIABLE GRAVITY ON LINEAR AND NONLINEAR STABILITY OF DOUBLE DIFFUSIVE HADLEY FLOW IN POROUS MEDIA
ABSTRACT
The present study analyzes the influence of variable gravity on the mechanism of instability of the double diffusive Hadley convection in a horizontal porous layer by applying linear and nonlinear stability analysis. This instability is analyzed using three-dimensional normal modes in the linear theory and the nonlinear theory using energy approach. The vertical thermal Rayleigh number is treated as the eigenvalue. The system that constitutes the eigenvalue problem is solved by applying Shooting and Runga−Kutta methods for various modes of instability. The detailed analysis is carried out for both the linear and nonlinear cases. The stability results are graphically presented, and it is notified that the flow undergoes the influence of gravity parameter along with other flow-governing parameters. This study brings out the drawbacks of linear stability theory over energy stability theory by showing the possible occurrence of subcritical instabilities in the flow parameter space.
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Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref
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Matta Anjanna, On the Stability of Hadley-Flow in a Horizontal Porous Layer with Non-Uniform Thermal Gradient and Internal Heat Source, Microgravity Science and Technology, 31, 2, 2019. Crossref
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Pranesh S., Saha Richa, Three-Component Convection in a Vertically Oscillating Oldroyd-B Fluid With Cross Effects, Microgravity Science and Technology, 34, 2, 2022. Crossref
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Shekhar Suman , Ragoju Ravi, Kanchana C. , EFFECTS OF THREE TYPES OF GRAVITY MODULATION ON ROTATING RAYLEIGH-BÉNARD CONVECTION IN A SPARSELY PACKED POROUS LAYER IN THE PRESENCE OF THROUGHFLOW , Journal of Porous Media, 25, 12, 2022. Crossref