A Blasius boundary layer flow of solar radiative heat flux over heated flat plate with partial slip condition

Abstract

In this paper, we describe the behavior of Blasius flow of tangent hyperbolic fluid over a semi-infinite heated flat plate with solar radiation effect. We include the thermo-physical properties along with modifications in energy and concentration equations. We determine the steady flow profile under the partial slip conditions. A special case of Gaputo fractional derivative is added in the current study. The current study is not only important because of its technological significance but also due to its mathematical features described in the form of equations. The boundary layer equations are transformed into a set of ordinary differential equations which are solved numerically with the help of fifth order Rung-Kutta-Fehlberg along with Newton Raphson scheme. Also we discuss the particular case for $n=1$ by using the fractional Blasius model. The obtained result of this study describes that the power law index increases the velocity of fluid whereas the boundary layer thickness decreases. The inclusion of slip velocity indicates that the slip parameter increases the base-flow boundary layer thickness, and the fluid behaves as inviscid. The solar radiation parameter increases the thermal boundary layer thickness. The temperature and concentration boundary layer thickness increases with increase in the value's thermal conductivity and diffusivity parameters. Comparison is made with some recently published papers.