Study of chaos in Rayleigh-Benard convection of water-alumina nanofluid with heat source sink

Abstract

Study of chaos in Rayleigh-Benard convection of a water-alumina nanofluid with internal heat source/sink is considered in the paper.
A generalized Buongiorno two-phase model is used for the formulation of the problem under the assumption of Boussinesque approximation
and small-scale convective motion. By considering a minimal-mode Fourier representation, we arrive at the penta-model generalized
Lorenz model. The largest lyapunov exponent and the Kaplan-Yorke dimension are used to capture commencement of chaos, windows of
chaotic motion and periodic orbits. Inhibition/suppression of chaos due to the presence of nanoparticles and heat source/sink are
discussed. Study on linear stability analysis is made for completeness.