Mathematical modeling on chaotic convection in a hybrid nanofluids

Abstract

This study focused on investigating the chaotic behavior of thermal convection in hybrid nanofluids in a fluid layer heated from below based on a dynamical systems approach. The solution of a nonlinear coupled system of partial differential equations was obtained through the application of a truncated Galerkin expansion, which then a system of ordinary differential equations with a low dimensional Lorenz-like model was generated by reduction. The effect of hybrid nanofluids on chaotic convection was studied. For the numerical solution, the nonlinear ordinary differential equation system was solved using the fourth-order Runge–Kutta technique. A transition from order to the chaos was discovered in the system.