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Closed-Form Solutions for a Nonlinear Partial Differential Equation Arising in the Study of a Fourth Grade Fluid Model
Joint Authors
Aziz, Taha
Mahomed, Fazal Mahmood
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-01
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Aziz, Taha& Mahomed, Fazal Mahmood. 2012. Closed-Form Solutions for a Nonlinear Partial Differential Equation Arising in the Study of a Fourth Grade Fluid Model. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993858
Modern Language Association (MLA)
Aziz, Taha& Mahomed, Fazal Mahmood. Closed-Form Solutions for a Nonlinear Partial Differential Equation Arising in the Study of a Fourth Grade Fluid Model. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993858
American Medical Association (AMA)
Aziz, Taha& Mahomed, Fazal Mahmood. Closed-Form Solutions for a Nonlinear Partial Differential Equation Arising in the Study of a Fourth Grade Fluid Model. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993858