Exact Analytic Solution of a Boundary Value Problem for the Falkner-Skan Equation

The Falkner–Skan equation, subject to appropriate physical boundary conditions arising from boundary layer theory, is exactly solved. The results obtained from this solution are compared with the numerical solution. The Blasius equation, subject to the same boundary conditions, is also solved exactl...

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Bibliographic Details
Published inStudies in applied mathematics (Cambridge) Vol. 120; no. 1; pp. 1 - 16
Main Authors Sachdev, P. L., Kudenatti, Ramesh B., Bujurke, N. M.
Format Journal Article
LanguageEnglish
Published Malden, USA Blackwell Publishing Inc 01.01.2008
Blackwell Publishing Ltd
Subjects
Blasius equation
Boundary conditions
Boundary layer
Boundary value problems
Exact solutions
Falkner-Skan equation
Mathematical analysis
Mathematical models
Studies
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ISSN0022-2526
1467-9590
DOI10.1111/j.1467-9590.2007.00386.x

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Summary:The Falkner–Skan equation, subject to appropriate physical boundary conditions arising from boundary layer theory, is exactly solved. The results obtained from this solution are compared with the numerical solution. The Blasius equation, subject to the same boundary conditions, is also solved exactly; the solution is compared with the earlier work on this equation. The analytic solution presented here agrees closely with the corresponding numerical results.
Bibliography:istex:4AFC208049AF967C21D33ED92348064B8920662D
ArticleID:SAPM386
ark:/67375/WNG-6J7H0M3B-X
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ISSN:0022-2526
1467-9590
DOI:10.1111/j.1467-9590.2007.00386.x