Steadily revolving flow of Sisko fluid along a stretchable boundary with non-linear radiation effects

Abstract

The heat transfer effects in rotating flow above an extensible surface immersed in a non-Newtonian fluid obeying Sisko fluid model is considered in this article. The model is widely accepted for analysing flow behaviour of many industrial liquids including lubricating greases. Thermal transport existing in the non-linear radiative heat flux is investigated. Conservation equations are simplified using boundary layer approximations before these are reduced to locally similar differential equations through appropriate transformations. We adopted a highly convenient package bvp4c of MATLAB to find numerical results for both integer and non-integer values of flow behaviour index n. Solutions are analysed graphically for diverse range of controlling parameters. Akin to the earlier works, temperature curve exhibits an inflection point in the case of relatively large wall temperature. Furthermore, wall temperature gradient vanishes for increasing values of temperature ratio parameter. Graphical results demonstrate that stretching effect combined with Sisko fluid assumption can provide considerable improvement in the cooling process of the surface, which is certainly beneficial in some technological processes.