Magnetohydrodynamics energy transport inside a double lid-driven wavy-walled chamber: Impacts of inner solid cylinder and two-phase nanoliquid approach.

• Galerkin weighted residual finite-element method was applied to solve the dimensionless governing equations subject to the boundary conditions. • The two-phase nanofluid model is utilized for modelling the nanofluid heat transfer within the wavy-walled cavity. • Comparisons with previously experimental and numerical published works verify good agreement with the proposed method. • The effects of central solid cylinder, uniform magnetic field, Brownian diffusion of nanoparticles and thermophoresis were explained. Control of energy transport and convective liquid circulation is a challenge in various engineering devices. Solution to this major problem can be obtained by different techniques such as magnetic field impact, irregular shape of the walls, internal solid obstacles, nanoliquids, moving walls and so on. The current study is devoted to a numerical analysis of nanoliquid mixed convective circulation and thermal transmission within a lid-driven wavy chamber with a central solid cylinder in the presence of a uniform magnetic influence, Brownian diffusion of nanoparticles and thermophoresis effects. The governing equations are formulated by employing the conservation laws in dimensionless form and the results are calculated by the finite-element method. Validations with experimental/numerical data are accomplished which lend confidence in the numerical data of the existing code. Analysis of the nanoliquid circulation and energy transport is conducted for a wide range of control parameters. It has been revealed that the augmentation of nano-sized particles enhances the overall energy transport in the case of low Reynolds number. [ABSTRACT FROM AUTHOR]