Perturbation Analysis of 2-Dimensional Boundary Layer Flow of an Inelastic Fluid Using Williamson Model

摘要

In this paper, we have discussed steady boundary layer flow of an inelastic fluid encountered in a number of engineering and biomedical applications, using the constitutive equation of the Williamson fluid. The flow is assumed to take place near a stagnation point on an infinite rigid flat surface. Using similarity transformations, the governing partial differential equations have been reduced to a nonlinear boundary value problem. The emphasis of our work in this study is to analyze the conventional perturbation solution vis-a-vis higher order effects. It is established that the higher order terms in the perturbation expansion, usually not considered in perturbation analyses, do influence the flow in the boundary layer region of the inelastic fluid. A quantity of engineering interest, namely, wall shear stress, has also been computed and analyzed.