Study of chaos in RayleighBard convection of a micropolar fluid
Bifurcation diagram; Chaos; Largest Lyapunov exponent graph; Micropolar fluid; RayleighBard convection
The paper considers the micropolar fluid (MPF) in a RayleighBard situation and investigates regular and periodic convection, and chaos in the fluid for a wide range of values of the scaled Rayleigh number. The fourth-order scaled Lorenz model that governs weakly non-linear convection is an energy-conserving model whose bounded solution remains within the finiteness of a three-ellipsoid. All the characteristics of the classical Lorenz model are seen in the generalized one. The scaling of the equations is done in such a way that the classical Lorenz model can be obtained as a limiting case of the generalized Lorenz model. The scaled versions of the critical Rayleigh number and the HopfRayleigh number are quantified to determine the onset-of-regular-convection and chaos. Chaotic and periodic regimes appear alternately as the scaled Rayleigh number, r, increases. It is well known from existing literature that the effect of micron-sized particles in the Newtonian fluid is to delay the onset-of-regular-convection. In the paper, it has been found that the suspended particles delay the onset of chaos and the appearance of periodic motion when compared to that in the case of a Newtonian fluid. 2025 Elsevier Ltd
Siddheshwar, P.G.; Anirudh, P.; Jagadeesh Kumar, M.S.; Idris, Ruwaidiah
International Communications in Heat and Mass Transfer;Volume;165;Issue;;Article No.;108967;
Restricted Access; Hardcopy may be available in the library
https://doi.org/10.1016/j.icheatmasstransfer.2025.108967 https://www.scopus.com/pages/publications/105004658779?origin=resultslist
Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ University, Karnataka, Bengaluru, 560029, India; Anirudh P., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, 632014, India; Jagadeesh Kumar M.S., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, 632014, India; Idris R., Special Interest Group for Modeling and Data Analytics (SIGMDA), Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, Terengganu, Kuala Nerus, 21030, Malaysia