Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/15069

Title: A series solution for three-dimensional Navier-Stokes equations of flow near an infinite rotating disk
Authors: Shahmohamadi, Hamed
Mohammadpour, Mahdi
Keywords: Homotopy analysis method
Padé Approximant
Navier-Stokes equations
Rotating disk
Issue Date: 2014
Publisher: © The Authors and Scientific Research Publishing Inc.
Citation: SHAHMOHAMADI, H. and MOHAMMADPOUR, M., 2014. A series solution for three-dimensional Navier-Stokes equations of flow near an infinite rotating disk. World Journal of Mechanics, 4 (5), pp. 117 - 127.
Abstract: In this paper, homotopy analysis method (HAM) and Padé approximant will be considered for finding analytical solution of three-dimensional viscous flow near an infinite rotating disk which is a well-known classical problem in fluid mechanics. The solution is compared to the numerical (fourth-order Runge-Kutta) solution and the convergence of the obtained series solution is carefully analyzed. The results illustrate that HAM-Padé is an appropriate method in solving the systems of nonlinear equations.
Description: This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
Version: Published
DOI: 10.4236/wjm.2014.45014
URI: https://dspace.lboro.ac.uk/2134/15069
Publisher Link: http://dx.doi.org/10.4236/wjm.2014.45014
ISSN: 2160-049X
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

Files associated with this item:

File Description SizeFormat
1WJM_2014_Hamed.pdfPublished version945.2 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.