Title

Analytical Solutions Of A Coupled Nonlinear System Arising In A Flow Between Stretching Disks

Keywords

Analytical solution; Navier-Stokes equations; Numerical solution; Similarity solution; Stretching disk

Abstract

In this paper, we consider the axi-symmetric flow between two infinite stretching disks. By using a similarity transformation, we reduce the governing Navier-Stokes equations to a system of nonlinear ordinary differential equations. We first obtain analytical solutions via a four-term perturbation method for small and large values of the Reynolds number R. Also, we apply the Homotopy Analysis Method (which may be used for all values of R) to obtain analytical solutions. These solutions converge over a larger range of values of the Reynolds number than the perturbation solutions. Our results agree well with the numerical results of Fang and Zhang [22]. Furthermore, we obtain the analytical solutions valid for moderate values of R by use of Homotopy Analysis. © 2010 Elsevier Inc. All rights reserved.

Publication Date

5-1-2010

Publication Title

Applied Mathematics and Computation

Volume

216

Issue

5

Number of Pages

1513-1523

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2010.02.053

Socpus ID

77950866255 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77950866255

This document is currently not available here.

Share

COinS