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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Vydáno v:Journal of nonlinear mathematical physics Ročník 15; číslo Suppl 1; s. 192 - 202
Hlavní autor: Pereira, Kevin Paul
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Taylor & Francis Group 01.01.2008
Springer Netherlands
Springer Nature B.V
Témata:
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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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.2991/jnmp.2008.15.s1.17