Boundary layer flow and heat transfer of Cross fluid over a stretching sheet

TL;DR

This paper develops a numerical model for boundary layer flow and heat transfer of Cross fluids over a stretching sheet, analyzing effects of key parameters on velocity and temperature fields.

Contribution

It introduces the first boundary layer equations for Cross fluid flow over a stretching sheet and solves them numerically using the shooting method.

Findings

Velocity and temperature profiles depend on power-law index, Weissenberg number, and Prandtl number.

Numerical results for skin friction and Nusselt number are provided.

The model agrees well with existing results in limiting cases.

Abstract

The current study is a pioneering work in presenting the boundary layer equations for the two-dimensional flow and heat transfer of the Cross fluid over a linearly stretching sheet. The system of partial differential equations is turned down into highly non-linear ordinary differential equations by applying suitable similarity transformations. The stretching sheet solutions are presented via. a numerical technique namely the shooting method and graphs are constructed for the shear-thinning as well as shear-thickening regime. The impact of the emerging parameters namely the power-law index , the local Weissenberg number and the Prandtl number on the velocity and temperature fields are investigated through graphs. Numerical values of the local skin friction coefficient and the local Nusselt number are also presented in tabular form. For some limiting cases, comparisons with previously available results in the literature are made and an excellent agreement is achieved.