Thermal Flux and Magnetic Field Effects on Nano-fluids Over Shrinking/ Stretching Sheet

Abstract

The motivation for studying nanofluid behavior under the influence of various external forces stems from its numerous applications in a variety of engineering industries. This paper focuses on the effect of a magnetic field and heat flux on a Shrinking / Stretching Sheet in a base fluid. Nonlinear partial differential equations (PDEs) are reduced to nonlinear ordinary differential equations (ODEs) via a similarity transformation, which are then numerically solved for two types of nanoparticles, namely copper and alumina, in the water-based fluid using the shooting technique. Considering the steady two-dimensional stagnation-point flow of a water-based nanofluid over a stretching/shrinking sheet. For some of the governing parameters of Grashof number (Gr), magnetic field (M), Prandtl number (Pr), and volume fraction (  ), the velocity and temperature profiles were presented graphically and thoroughly discussed. It found that magnetic parameters and Grashof number solutions for a shrinking/stretching sheet increase velocity while decreasing temperature. minor effect on temperature, while in alumina (Al2O3-water), the velocity decreases appreciably with an increase in the nanoparticle volume fraction and simple increase effect in temperature, the highest prandle numbers reduce velocity and temperature profiles for copper and alumina.