On a class of unsteady boundary layers of finite extent

Journal of Fluid Mechanics

Volumn 319, Issue , 1996, Pages 151-170

  Phillips, W R C ^a,b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b Clarkson University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DRAG; MATHEMATICAL MODELS; PROBLEM SOLVING; UNSTEADY FLOW; VORTEX FLOW;

MATHEMATICAL DIFFUSIVITY; UNSTEADY BOUNDARY LAYERS;

BOUNDARY LAYER FLOW;

BOUNDARY LAYERS; MODELLING-MATHEMATICAL; UNSTEADY FLOW;

EID: 0030186115     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209600729X     Document Type: Article

References (23)

1. BAN, S. D. & KUERTI, G. 1969 The interaction region in the boundary layer of a shock tube. J. Fluid Mech. 38, 109-125.
2. BANKS, W. H. H. & ZATURSKA, M. B. 1986 Eigensolutions in boundary layer flow adjacent to a stretching wall. IMA J.Appl. Maths 36, 263-273.
3. BLASIUS, H. 1908 Grenzschichten in Flüssigkeiten mit kleiner Reibund. Z. Math. Phys. 56, 1-37.
4. BROWN, S. N. & STEWARTSON. K. 1965 On similarity solutions in the boundary layer equations with algebraic decay. J. Fluid Mech. 23, 673-687.
5. BROWN, S. N. & STEWARTSON. K. 1969 Laminar separation. Ann. Rev. Fluid Mech. 1, 45-72.
6. BUCKMASTER, J. 1973 Viscous-gravity spreading of an oil slick. J. Fluid Mech. 59, 481-491.
7. CRANE, L. J. 1970 Flow past a stretching plate. Z. Angew. Math. Phys. 21, 645-647.
8. DENNIS S. C. R. 1972 The motion of a viscous fluid past an impulsively started semi-infinite flat plate. J. Inst. Maths. Applics. 10, 105-117.
9. FAY, J. A. 1969 The spread of oil slicks on a calm sea. In Oil on the Sea (ed D. P. Hoult), pp. 53-63. Plenum.
10. FODA, M. & Cox, R. G. 1980 The spreading of thin liquid films on a water-air interface J. Fluid Mech. 101, 33-51.
11. HALL, M. G. 1969 Boundary layer over an impulsively started flat plate. Proc. Roy. Soc. Land. A 310, 401-414.
12. JENSEN, O. E. 1995 The spreading of insoluble surfactant at the free surface of a deep fluid layer. J. Fluid Mech. 293, 349-378.
13. LAM, S. H. & CROCCO, L. 1959 Note on the shock-induced unsteady laminar boundary layer on a semi-infinite flat plate. J. Aero Sci. 26, 54-55.
14. MA, P. K. H. & HUI, W. H. 1990 Similarity solutions of the two-dimensional unsteady boundary-layer equations J. Fluid Mech. 216, 537-559.
15. RAYLEIGH, LORD 1911 On the motion of solid bodies through viscous fluid. Phil. Mag. 21, 697-711.
16. SAKIADIS, B. C. 1961 Boundary layer behavior on a continuous solid surface. AIChEJ 7, 221-225.
17. STEWARTSON, K. 1951 On the impulsive motion of a flat plate in a viscous fluid. Q. J. Mech. Appl. Maths 4, 182-198.
18. STUART, J. T. 1966 Double boundary layers in oscillatory viscous flow. J. Fluid Mech. 24, 673-687.
19. TAYLOR, G. I. 1959 The dynamics of thin sheets of fluid. Proc. Roy. Soc. Land. A 253 289-295.
20. WALKER J. D. A. & DENNIS S. C. R. 1972 The boundary layer in a shock tube. J. Fluid Mech. 56, 19-47.
21. WANG, C. Y. 1984 The three dimensional flow due to a stretching flat surface. Phys. Fluids 27, 1915-1917.
22. WANG, J. C. T. 1983 On the numerical methods for the singular parabolic equations in fluid dynamics. J. Comput. Phys. 52, 464-479.
23. WANG, J. C. T. 1985 Renewed studies on the unsteady boundary layers governed by singular parabolic equations. J. Fluid Mech. 155, 431-427.