Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
type: Item
instance of: scholarly article
title: Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
zbMATH Open document ID: 1264.76074
DOI: 10.1155/2012/601917
author: Zainal Abdul Aziz
author: Mojtaba Nazari
author: Faisal Salah
author: Dennis Ling Chuan Ching
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameter \(\hbar\), which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 6173416
Wikidata QID: Q58912262
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/601917
OpenAlex ID: W2136881041
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description: scientific article; zbMATH DE number 6173416