Exact analytic solution of a boundary value problem for the Falkner-Skan equation

Studies in Applied Mathematics

Volumn 120, Issue 1, 2008, Pages 1-16

  Sachdev, P L ^a,b   Kudenatti, Ramesh B ^b   Bujurke, N M ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b KARNATAK UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS;

BLASIUS EQUATION; BOUNDARY LAYER THEORY; BOUNDARY-VALUE PROBLEM; EXACT ANALYTIC SOLUTIONS; FALKNER-SKAN EQUATIONS; NUMERICAL RESULTS; NUMERICAL SOLUTION;

BOUNDARY CONDITIONS;

EID: 36849015914     PISSN: 00222526     EISSN: 14679590     Source Type: Journal    
DOI: 10.1111/j.1467-9590.2007.00386.x     Document Type: Article

References (17)

1. H. Weyl, On the differential equations of the simplest boundary layer problems, Ann. Math. 43 : 381 (1942).
2. M. Y. Hussaini, W. D. Lakin, and A. Nachman, On similarity solution of a boundary layer problem with an upstream moving wall, SIAM J. Appl. Math. 47 : 699 (1987).
3. W. A. Coppel, On a differential equation of boundary layer theory, Phil. Trans. A 253 : 101 (1960).
4. W. A. Coppel, Note on an equation of boundary layer theory, Phil. Trans. A 253 : 696 (1960a).
5. N. Riley and P. D. Weidman, Multiple solutions of the Falkner-Skan equation for flow past a stretching boundary, SIAM Jl. Appl. Math. 49 : 1350 (1989).
6. N. Afzal, Momentum transfer on power law stretching plate with free stream pressure gradient, Int. J. Eng. Science 41 : 1197 (2003).
7. G. B. Whitham, Linear and Nonlinear Waves, Wiley, New York, 1974.
8. P. L. Sachdev, Nonlinear Diffusive Waves, Cambr. Univ. Press, Cambridge, 1987.
9. P. L. Sachdev, K. R. C. Nair, and V. G. Tikekar, Generalized Burgers equations and Euler-Painleve trancedents I, J. Math. Phy. 27 : 1506 (1986).
10. P. L. Sachdev, K. R. C. Nair, and V. G. Tikekar, Generalized Burgers equations and Euler-Painleve Transcedents III, J. Math. Phy. 29 : 2397 (1988).
11. P. L. Sachdev and K. R. C. Nair, Generalized Brugers equations and Euler-Painleve Transcedents II, J. Math. Phys. 28 : 997 (1987).
12. P. L. Sachdev and Chi Srinivasa Rao, Euler-Painleve' transcendents - A special class of second order nonlinear ordinary differential equations. Special millennium publication on nonlinear phenomena, Indian National Science Academy, 483 (2000).
13. D. Meksyn, Integration of the boundary layer equations, Proc. Roy. Soc. London Ser. A. 237 : 1211 (1956).
14. L. J. Crane, Flow past a stretching plate, ZAMP 21 : 645 (1970).
15. W. H. H. Banks and M. B. Zaturska, Eigensolutions in boundary layer flow adjacent to a stretching wall, IMA J. Appl. Math 36 : 263 (1986).
16. E. Magyari and B. Keller, Exact solutions for self similar boundary layer flows induced by permeable stretching wall, Eur. J. Mech-B, Fluids 19 : 109 (2000).
17. S. W. Yuan, Foundations of Fluid Mechanics, PHI Priv. Limited, London, 1976.