Transformation Groups Applied to Two-Dimensional Boundary Value Problems in Fluid Mechanics

The boundary value problems for the two-dimensional, steady, irrotational flow of a frictionless, incompressible fluid past a wedge and a circular cylinder are considered. It is shown that by considering first the invariance of the boundary condition we are able to obtain a transformation group that...

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Published in:Journal of nonlinear mathematical physics Vol. 15; no. Suppl 1; pp. 192 - 202
Main Author: Pereira, Kevin Paul
Format: Journal Article
Language:English
Published: Dordrecht Taylor & Francis Group 01.01.2008
Springer Netherlands
Springer Nature B.V
Subjects:
Boundary conditions
Boundary value problems
Circular cylinders
Fluid flow
Fluid mechanics
Incompressible flow
Incompressible fluids
Potential flow
Two dimensional flow
ISSN:1402-9251, 1776-0852, 1776-0852
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Abstract The boundary value problems for the two-dimensional, steady, irrotational flow of a frictionless, incompressible fluid past a wedge and a circular cylinder are considered. It is shown that by considering first the invariance of the boundary condition we are able to obtain a transformation group that can be used to solve each boundary value problem.
AbstractList The boundary value problems for the two-dimensional, steady, irrotational flow of a frictionless, incompressible fluid past a wedge and a circular cylinder are considered. It is shown that by considering first the invariance of the boundary condition we are able to obtain a transformation group that can be used to solve each boundary value problem.
Author Pereira, Kevin Paul
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Copyright Copyright Taylor & Francis Group, LLC 2008
K P Pereira 2008
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– reference: BlumanG WColeJ DThe General Similarity Solution of the Heat EquationJ. Math. Mech19691810251042
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– reference: IbragimovN HElementary Lie Group Analysis and Ordinary Differential Equations1999ChichesterJohn Wiley and Sons
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Snippet The boundary value problems for the two-dimensional, steady, irrotational flow of a frictionless, incompressible fluid past a wedge and a circular cylinder are...
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SubjectTerms Boundary conditions
Boundary value problems
Circular cylinders
Fluid flow
Fluid mechanics
Incompressible flow
Incompressible fluids
Potential flow
Two dimensional flow
Title Transformation Groups Applied to Two-Dimensional Boundary Value Problems in Fluid Mechanics
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