Title
Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks
Abbreviated Journal Title
Appl. Math. Comput.
Keywords
Navier-Stokes equations; Similarity solution; Stretching disk; Analytical solution; Numerical solution; NAVIER-STOKES EQUATIONS; CONTINUOUS SOLID SURFACES; BOUNDARY-LAYER; EQUATIONS; HOMOTOPY ANALYSIS METHOD; SIMILARITY SOLUTIONS; FLAT SURFACE; CHANNEL; FLUID; WALL; BEHAVIOR; Mathematics, Applied
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. (C) 2010 Elsevier Inc. All rights reserved.
Journal Title
Applied Mathematics and Computation
Volume
216
Issue/Number
5
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
1513
Last Page
1523
WOS Identifier
ISSN
0096-3003
Recommended Citation
"Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks" (2010). Faculty Bibliography 2010s. 887.
https://stars.library.ucf.edu/facultybib2010/887
Comments
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