Boundary layer similarity flow driven by power-law shear

Acta Mechanica

Volumn 120, Issue , 1997, Pages 199-215

  Weidman, P D ^a,b   Kubitschek, D G ^a,b   Brown, S N ^a,c  

^a University of Colorado ^*

^b University of Colorado at Boulder   (United States)

^c UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; NUMERICAL METHODS; PROBLEM SOLVING; SHEAR FLOW; SHEAR STRESS; SYSTEMS ANALYSIS; WALL FLOW;

ASYMPTOTIC ANALYSIS; COUETTE FLOW; GOVERNING EQUATIONS; PRANDTL EQUATION;

MATHEMATICAL MODELS;

EID: 0030821104     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01174324     Document Type: Article

References (19)

1. Goldstein, S.: Concerning some solutions of the boundary layer equations in hydrodynamics. Proc. Cambridge Phil. Soc., XXVI, Part 1, 1-30 (1930).
2. Nikuradse, J.: Gesetzmäßigkeiten der turbulenten Strömung in glatten Rohren. VDI Forschungsheft No. 356 (1932).
3. Barenblatt, G. I.: Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis. J. Fluid Mech. 248, 513-520 (1993).
4. Barenblatt, G. I., Prostokishin, V. M.: Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data. J. Fluid Mech. 248, 521-529 (1993).
5. Rosenhead, L.: Laminar boundary layers, Oxford: Clarendon Press 1963.
6. Banks, W. H. H.: Similarity solutions of the boundary-layer equations for a stretching wall. J. Mech. Theor. Appl. 2, 375-392 (1983).
7. Riley, N., Weidman, P. D.: Multiple solutions of the Falkner-Skan equation for flow past a stretching boundary. SIAM J. Appl. Math. 49, 1350-1358 (1989).
8. Burde, G. I.: A class of solutions of the boundary layer equations. Izv. Akad. Nauk USSR Mek. Zhid. Gaza 2, 45-51 (1990).
9. Weidman, P. D., Amberg, M. J.: Similarity solutions for steady laminar convection along heated plates with variable oblique suction: Newtonian and Darcian fluid flow. Q. J. Mech. Appl. Math, (submitted).
10. Wang, C. Y.: The boundary layers due to shear flow over a still fluid. Phys. Fluids A 4, 1304-1306 (1992).
11. Higuera, F. J., Weidman, P. D.: Natural convection beneath a downward facing heated plate in a porous medium. Int. J. Heat Mass Transfer (in press).
12. Ablowitz, M. J., Clarkson, P. A.: Solitons, nonlinear evolution equations and inverse scattering. London Mathematical Society Lecture Note Series 149. Cambridge: University Press 1991.
13. Abramowitz, M., Stegun, I.: Handbook of mathematical functions. Washington: U. S. Government Printing Office, 1972.
14. Glauert, M. B.: The wall jet. J. Fluid Mech. 1, 625-643 (1956).
15. Schlichting, H.: Laminare Strahlausbreitung. ZAMM 13, 260-263 (1933).
16. Bickley, W. G.: The plane jet. Phil. Mag. 23, 727-731 (1937).
17. Merkin, J. H., Needham, D. J.: A note on the wall-jet problem. J. Eng. Math. 20, 21-26 (1986).
18. Needham, D. J., Merkin, J. H.: A note on the wall jet problem II. J. Eng. Math. 21, 17-22 (1987).
19. Cohen, J., Amitay, M., Bayly, B. J.: Laminar-turbulent transition of wall-jet flows subjected to blowing and suction. Phys. Fluids A 4, 283-289 (1992).