Group theoretic method analysis for unsteady boundary layer flow near a stagnation point

Taiwanese Journal of Mathematics

Volumn 9, Issue 4, 2005, Pages 639-660

  Hassanien, I A ^a   Salama, A A ^a   Hosham, H A ^b  

^a Assiut University   (Egypt)

^b Assiut Branch   (Egypt)

Author keywords

Boundary layer; Group theoretic method; Similar solution; Stagnation point

Indexed keywords

EID: 30844451611     PISSN: 10275487     EISSN: 10275487     Source Type: Journal    
DOI: 10.11650/twjm/1500407888     Document Type: Article

References (20)

1. M. B. Abd-El-Malek and S. M. A. El-Mansi, Group theoretic methods applied to Burgers' equation, J. Comput. Appl. Math., 115 (2000), 1-12.
2. G. Birkhoff, Hydrodynamics, Princeton University Press, Princeton, New Jersey, 1960.
3. H. Blasius, Grenzschichten in Flussigkeiten mit kleiner Reibung, Z. Math. U. Phys., 56 (1908), 1-37.
4. G. I. Burdé, A class of solutions of the boundary-layer equations, Fluid Dynamics, 25 (1990), 201-207.
5. G. I. Burdé, The construction of special explicit solutions of the boundary-layer equations-steady flows, Q. Jl. Mech. Appl. Math., 47 (1994), 247-260.
6. G. I. Burdé, The construction of special explicit solutions of the boundary-layer equations- unsteady flows, Q. Jl. Mech. Appl. Math. Ibid., 48 (1995), 611-633.
7. G. l. Burdé, New similarity reductions of the steady-state boundary-layer equations, J. Phys. A. Math. Gen., 29 (1996), 1665-1683.
8. B. J. Cantwell, Introduction to Symmetry Analysis, Cambridge University Press, Cambridge, 2003.
9. V. M. Falkner and S. W. Skan, Some approximate solutions of the boundary-layer equations, Philos. Mag., 12 (1931), 865-896.
10. M. W. Frank, Viscous Fluid Flow, Second ed., McGraw-Hill, New York, 1991.
11. C. W. Jones and E. J. Watson, In Laminar Boundary layer, Ed. L. Rosenhead, Clarendon Press, Oxford, 1963, Chapter V.
12. K. Hiemenz, Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder. Dinglers Polytech. J., 326 (1911), 321-410.
13. P. K. H. Ma and W. H. Hui, Similarity solutions of the two-dimensional unsteady boundary-layer equations, J. Fluid Mech., 216 (1990), 537-559.
14. M.J. Moran and R.A. Gaggioli, A new systematic formalism for similarity analysis with application to boundary layer flows, U.S. Army Math. Research Center, Tech. Summary, Report No. 918, (1968).
15. M. J. Moran and R. A. Gaggioli, A new systematic formalism for similarity analysis, J. Eng. Math., 3 (1969), 151.
16. M. J. Moran and R. A. Gaggioli, Similarity for a real-gas flow via a new group formalism, Appl. Sci. Res., 22 (1970), 81-88.
17. I. Mulolani and M. Rahman, Similarity analysis for natural convection from a vertical plate with distributed wall concentration, I JMMS, 32 (2002), 319-334.
18. L. V. Ovsiannikov, Group Analysis of Differential Equations, Translation by Ed. W. F. Ames, Academic Press, New York, (1982).
19. N. R. Rajappa, Nonsteady plane stagnation point flow with hard blowing, ZAMM, 59 (1979), 471-473.
20. H. Schlichting and K. Gersten, Boundary Layer Theory; Translated by J. Kestin, Springer-Verlag, New York (2000).