Natural Convection of Williamson Nanofluid Over a Semi- Infinite Vertical Plate in the Presence of Radiation

This paper analyzes a theoretical study of the effects of incompressible Williamson nanofluid flow over a semi-infinite vertical plate in the presence of radiation. The numerical solution of dimensionless partial differential equations is accomplished using the Crank-Nicholson finite difference method. The impact on fields of velocity and temperature of various types of non-dimensional prominence parameters, such as the Weissenberg number ( We ), Prandtl number ( Pr ), and radiation coefficient ( R) , is graphically illustrated and discussed. A discussion of fluid behavior in the form of isolines is provided. Velocity and temperature boundary layer thicknesses generally decrease as they move away from the vertical plate surface. However, the Williamson parameter appears to retard velocity and decrease temperature profiles near the surface. Moreover, smaller nanoparticles display uniform volume fractions, which reduces the variation in heat transfer rates.