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Closed-form solutions for a nonlinear partial differential equation arising in the study of a fourth grade fluid model
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نویسنده
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aziz t. ,mahomed f.m.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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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. © 2012 taha aziz and f. m. mahomed.
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آدرس
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centre for differential equations,continuum mechanics and applications,school of computational and applied mathematics,university of the witwatersrand, South Africa, centre for differential equations,continuum mechanics and applications,school of computational and applied mathematics,university of the witwatersrand, South Africa
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Authors
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