Melting heat transfer analysis of Sisko fluid over a moving surface with nonlinear thermal radiation via Collocation method

Abstract

The objective of the present model is to examine the magnetohydrodynamic (MHD) non-Newtonian (Sisko) nanofluid flow over a linear stretching sheet. The thermal management is examined through melting heat transfer. Buongiorno’s model has been used to study the Brownian and thermophoresis effects inside the nanofluid. Furthermore, nonlinear thermal radiation model is also considered. Mathematical model of considered physical problem consists of coupled nonlinear partial differential equations: conservation of mass, momentum, energy, and concentration equation. The numerical solution is obtained by using Collocation Method after being transformed into ordinary differential equations by means of an appropriate similarity transformation. The quantities of interest, that are, nanofluid velocity, temperature, concentration, skin friction, heat and mass transfer rate, are examined against the emerging physical parameters. The obtained results revealed that the rate of heat and mass transfer is an increasing function while skin friction coefficient is decreasing functions of melting parameter. An increase in the thermal radiation effects enhances the heat and mass transfer rates. Increase in power law index decreases velocity, temperature and concentration distribution. On the other hand, skin friction, heat and mass transfer rate is enhanced due to increase in power law index