Stability analysis of gravity modulated thermosolutal convection in Casson fluid with internal heat source

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Chandan K.G.
Akhila P.A.
Patil Mallikarjun B

Abstract

The current work establishes research into the non-Newtonian Casson fluid's linear and weakly non-linear stability analysis under the influences of internal heating and gravitational modulation. The study is confined to stationary convection, where marginal stability is determined by the critical Rayleigh number, which is derived from linear stability analysis. The marginal stability curves are plotted to observe the onset of convection due to different parameters that exist in the problem. Heat and mass transfer are measured in terms of the Nusselt number (Nu) and Sherwood number (Sh), respectively, in the non-linear stability analysis. These measurements are based on the Ginzburg-Landau (GL) equation. A non-Newtonian Casson fluid's weak non-linear thermal instability has been studied using a limited range of perturbations. A graphical analysis is done on the impacts of the Casson parameter, internal Rayleigh number, and gravitational modulation on Nusselt and Sherwood numbers. When it comes to mass transport, the internal Rayleigh number and Casson parameter behave similarly, however, when it comes to heat transfer in a fluid, they act opposite.

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How to Cite
K.G., C., P.A., A., & B, P. M. (2024). Stability analysis of gravity modulated thermosolutal convection in Casson fluid with internal heat source. Gulf Journal of Mathematics, 17(1), 110-129. https://doi.org/10.56947/gjom.v17i1.1980
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