A study on regular and chaotic convection in an anisotropic porous cavity
Chaotic convection; Heat transfer; Linear stability analysis; Lyapunov exponents; Porous enclosures; Stability analyses
The primary intent of the work is to investigate the linear and weakly nonlinear stability analyses of the BrinkmanBard convection (BBC) problem in a horizontal thermally-anisotropic porous enclosure with temperature-dependent uniform heat source/sink analytically by using a weighted residual Galerkin scheme. The linear stability analysis of the study reveals that the conductive system is stabilized by increasing anisotropy, Darcy number, and internal heat source strength. Three modal Lorenz model is derived by performing weakly nonlinear stability analysis using truncated Fourier series solutions. Equilibrium points of the Lorenz model and stability analysis is studied. The conductive equilibrium point (zero equilibrium point) is asymptotically stable and the eigenvalues are negative, whereas the convective equilibrium points (non-zero equilibrium points) are asymptotically stable up to a threshold Rayleigh number. Later, Hf bifurcation or chaotic motions sets in. The effect of an increase in the values of internal heat source and thermal anisotropic term delays the onset of the chaotic convection, whereas the Darcy number exhibits the opposite fashion. Further, the amount of heat transport is estimated at the lower boundary of an enclosure, and it is seen that the amount of heat transfer is maximum in the case of heat source, Darcy medium, and heterogeneous medium compared within the Brinkman medium in the presence of heat sink. 2025 The Physical Society of the Republic of China (Taiwan)
Siddabasappa, C.; Babitha; Bhavya, K.; Sakshath, T.N.
Chinese Journal of Physics;Volume;97;pp.496-510
Restricted Access; Hardcopy may be available in the library
https://doi.org/10.1016/j.cjph.2025.03.034 https://www.scopus.com/pages/publications/105011845614?origin=resultslist
Siddabasappa C., Department of Sciences and Humanities, CHRIST University, Karnataka, Bengaluru, 560074, India; Babitha, Department of Mathematics, CHRIST University, Karnataka, Bengaluru, 560029, India; Bhavya K., Department of Sciences and Humanities, CHRIST University, Karnataka, Bengaluru, 560074, India; Sakshath T.N., Department of Mathematics, R V College of Engineering, Bengaluru, 560 059, India