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Exact Analytic Solution of a Boundary Value Problem for the Falkner–Skan Equation
Author(s) -
Sachdev P. L.,
Kudenatti Ramesh B.,
Bujurke N. M.
Publication year - 2008
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2007.00386.x
Subject(s) - mathematics , mathematical analysis , boundary value problem , blasius boundary layer , work (physics) , free boundary problem , boundary values , boundary layer , exact solutions in general relativity , mixed boundary condition , boundary (topology) , physics , boundary layer thickness , mechanics , thermodynamics
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.