Parametric Study of Extended Brinkman’s-Darcy Model for Triple Diffusive Convection System under the Effect of Rotational Modulation: Bifurcation Analysis

Pervinder Singh, Shruti Tomar, Vinod Kumar Gupta, Naresh M Chadha

Article ID: 9733
Vol 8, Issue 3, 2025

VIEWS - 4 (Abstract)

Abstract


In this study, we consider the extended Brinkman’s-Darcy model for a triple diffusive convection system which consists of some parameters such as Taylor number (Ta), Solutal Rayleigh numbers (RC1 , RC2 ), and Prandtl number (Pr). To investigate the range of these parameters, a dynamical system of the Ginzburg-Landau equation is developed. The parametric analysis and comparative study of the model for the three Rayleigh numbers which leads to the clear fluid layer, sparsely packed porous layer, and densely packed porous layer is done with the help of bifurcation maps and the Lyapunov exponents. It is found that for a certain range of parameters, the system exhibits a chaotic behaviour.

Keywords


Eextended Brinkman ’s-Darcy model, Dynamical system, Bifurcation Maps, the Lyapunov Exponents, Chaotic behaviour.



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DOI: https://doi.org/10.24294/tse9733

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