A flow study of Carreau fluid near the boundary layer region of paraboloid surface with viscous dissipation and variable fluid properties

Abstract

The 2-D steady flow of Carreau fluid by considering the effects of magneto-hydro-dynamic, viscous dissipation and activation energy on the surface of parabola is investigated numerically and graphically in this study. The motion, temperature and mass transfer of fluid is examined by considering the variable thermo-physical properties. The upper surface of a submarine, aircraft, bullet and car's bonnet are certain examples of the upper paraboloid surface. The motion of fluid over this surface is depending on the boundary layer which is made in the instant space on it. At the surface of object, the layers of fluid are presumed as stretchable. The independent variables of governing equations are reduced by suitable dimensionless physical variables. The numerical results of dimensionless determining equations are achieved by adopting the BVP4c method through MATLAB software. The graphs are conspired to understand the conduct of numerous parameters on velocity, temperature and concentration fields. It is analyzed that the velocity field is increased function of power law and viscosity coefficient. The decline in the temperature within the flow happens for Prandtl number whereas temperature rises for heat source parameter. The activation energy caused the increment in the concentration field.