Numerical simulation of natural convection MHD flow in a wavy L‐shaped cavity with line heat source using hybrid EFGM/FEM

Abstract

AbstractIn the current paper, the natural convection of power‐law nanofluid within a wavy l‐shaped cavity under the magnetic field has been simulated by a hybrid (EFGM/FEM) technique with parallel implementation. A line heat source with length Lhs and height Hhs is applied on the right vertical wall of the cavity. The cavity is filled with power‐law non‐Newtonian nanofluid. Parallel implementation with hybrid EFGM/FEM is used to solve the governing partial differential equations. Effect of Rayleigh number, Hartmann number, power‐law index, aspect ratio, nanoparticle volume fraction, location, and length of the heat source has been studied on the fluid flow, isotherms, and heat transfer. It is observed that the power‐law index, Hartmann number, and height of heat source have a decreasing effect on heat transfer rate while the Rayleigh number, length of heat source, and volume fraction of nanoparticle increases the heat transfer rate. Heat transfer rate improves by 51% and 73% with increasing the volume fraction of nanoparticles and Rayleigh number while heat transfer rate reduces by 28% with increasing the Hartmann number. The main application of such problems is found in the building corners, lubricating machines, and medical and electronic equipment (thermometer device and PCB). The hybrid method is one of the novel contributions of the author. Parallel implementation of the meshfree method (EFGM) is one of the novel features of this paper.