부산대학교 도서관

Summary: ``The present article aims at studying the regular and chaoticRayleigh-Bénard convection under the presence of the non-uniforminternal heat source with rigid-rigid and free-free boundaryconditions. In the study, the Casson-based hybrid nanoliquid isconsidered to be saturated in porous media made-up of 30\% reinforcedpolycarbonate glass fiber. By considering the minimal Fourier seriesexpansion and appropriate scaling, a penta-generalized, autonomousLorentz model with quadratic order non-linearity is derived, which isultimately reduced to the Ginzburg-Landau equation with cubicnon-linearity. The analytical solution of the Ginzburg-Landau equationis used to quantify the amount of heat and mass transport. The maximumLyapunov exponent and the phase plots are used to discuss the chaoticconvection in the system. It is observed that the heat supply to thesystem with stress-free boundaries sets in both regular and chaoticconvection earlier than the system with rigid-rigid boundaries.Further, the addition of a small volume of single-walled carbonnanotubes in Casson-based alumina oxide nanoliquid helps to enhanceheat transfer rate.''