Closed-form solutions for a nonlinear partial differential equation arising in the study of a fourth grade fluid model
type: Item
instance of: scholarly article
title: Closed-form solutions for a nonlinear partial differential equation arising in the study of a fourth grade fluid model
zbMATH Open document ID: 1308.35044
DOI: 10.1155/2012/931587
author: Taha Aziz
author: F. M. Mahomed
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The unsteady unidirectional flow of an incompressible fourth grade fluid bounded by a suddenly moved rigid plate is studied. The governing nonlinear higher order partial differential equation for this flow in a semiinfinite domain is modelled. Translational symmetries in variables \(t\) and \(y\) are employed to construct two different classes of closed-form travelling wave solutions of the model equation. A conditional symmetry solution of the model equation is also obtained. The physical behavior and the properties of various interesting flow parameters on the structure of the velocity are presented and discussed. In particular, the significance of the rheological effects are mentioned.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6170014
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/931587
OpenAlex ID: W2106250293
Wikidata QID: Q58906954
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description: scientific article; zbMATH DE number 6170014