Abstract
In this paper, a computational analysis is performed on entropy generation due to mixed convection in a double-sided lid-driven cavity filled water-alumina nanofluid in the presence of a periodic magnetic field. Effects of various emerging parameters are also studied. Flow is generated in response of the motion of vertical walls and buoyancy forces. The governing equations are discretized via the monolithic Galerkin finite-element method of higher order in space, and the temporal discretization is carried out by using the Crank-Nicolson procedure. Newton's method is applied to cope with discretized nonlinear systems of equations, and the Gaussian elimination method is applied to solve the associated linear subproblems in each nonlinear iteration. Relevant parameters are the Richardson number (0.01 <= Ri <= 10), Reynolds number (1 <= Re <= 100), Hartmann number (0 <= Ha <= 100), and nanoparticle volume fraction (0.0 <= phi <= 0.04). Calculation of the average Nusselt number, average bulk temperature, kinetic energy, and entropy generation is performed in this analysis.