부산대학교 도서관

Summary: ``The present article aims at studying the regular and chaotic Rayleigh-Bénard convection under the presence of the non-uniform internal heat source with rigid-rigid and free-free boundary conditions. In the study, the Casson-based hybrid nanoliquid is considered to be saturated in porous media made-up of 30\% reinforced polycarbonate glass fiber. By considering the minimal Fourier series expansion and appropriate scaling, a penta-generalized, autonomous Lorentz model with quadratic order non-linearity is derived, which is ultimately reduced to the Ginzburg-Landau equation with cubic non-linearity. The analytical solution of the Ginzburg-Landau equation is used to quantify the amount of heat and mass transport. The maximum Lyapunov exponent and the phase plots are used to discuss the chaotic convection in the system. It is observed that the heat supply to the system with stress-free boundaries sets in both regular and chaotic convection earlier than the system with rigid-rigid boundaries. Further, the addition of a small volume of single-walled carbon nanotubes in Casson-based alumina oxide nanoliquid helps to enhance heat transfer rate.''