Application of the Spectral Local Linearization Method on a System of Nonlinear Ordinary Differential Equations

Abstract

Abstract

In this study the problem of unsteady nanofluid flow over a stretching sheet subject to

couple stress effects is presented. Instead of assuming that the nano-particle volume

fraction at the boundary surface may be actively controlled, a realistic boundary

condition for the nanoparticle volume fraction model is that the nano-particle flux at

the boundary be set to zero. We assume there is no active control of the nano-particle

volume fraction at boundary. The spectral local linearisation method has been used

to solve the governing equations, moreover the results were further confirmed by

using the quasi-linearization method. The qualitative and quantitative effects of the

dimensionless parameters in the problem such as the couple stress parameter, the

Prandtl number, the Brownian motion parameter, the thermophoresis parameter and

the Lewis number on the fluid behavior are determined.

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