Variable Conductivity and Partial Slip on Flow over a Nonlinear Radiated Stretching Sheet

Abstract

The heat and mass transfer effects on hydrodynamic slip flow past a non-linear stretching sheet is considered. For improving the thermal moment we also considered the thermal radiation and variable thermal conductivity. The condition of slip is one of the core concepts of the Navier – Stokes theory. The sheet is placed horizontally, so that buoyancy forces are less and negligible and the plate is stretching nonlinearly. The partial velocity slip may occur on the stretching boundary when the fluid is particulate such as emulsions, suspensions, foams and polymer solutions. It has significant in biological and medicinal treatments such as controlling the heart attacks, improving the blood pumping, controlling high pressure etc. The thermal radiation is also significant in various treatments such as endoscopy, radiation treatment cancer, scanning and DNA checkup etc. The governing partial differential equations (PDEs) are transformed to ordinary differential equations (ODEs) by using similarity transformation and solutions are carried out with help of the Runge-Kutta based shooting technique. The effects of various material parameters on the velocity, temperature, concentration of the flow field as well as the skin-friction coefficient, heat and mass transfer rates are inspected in detail. It is found that the effects of slip parameter decelerates the fluid velocity, while raises the fluid temperature.

Keywords: Non-linear stretching sheet; variable conductivity; partial slip; thermal radiation.