Boundary-layer analysis for effects of viscosity of the irrotational flow on the flow induced by a rapidly rotating cylinder in a uniform stream

Journal of Fluid Mechanics

Volumn 557, Issue , 2006, Pages 167-190

  Wang, J ^a   Joseph, D D ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CYLINDERS (SHAPES); DRAG; LIFT; POTENTIAL FLOW; ROTATIONAL FLOW; SHEAR STRESS; STREAM FLOW; VISCOSITY;

BOUNDARY-LAYER ANALYSIS; GLAUERT'S METHOD; IRROTATIONAL FLOW; VISCOUS STRESS;

BOUNDARY LAYER FLOW;

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; CYLINDERS (SHAPES); DRAG; LIFT; POTENTIAL FLOW; ROTATIONAL FLOW; SHEAR STRESS; STREAM FLOW; VISCOSITY;

BOUNDARY LAYER; CYLINDER; ROTATING FLOW; VISCOSITY;

EID: 33244496238     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006009670     Document Type: Article

References (27)

1. Ece, M. C., Walker, J. D. A. & Doligalski, T. L. 1984 The boundary layer on an impulsively started rotating and translating cylinder. Phys. Fluids 27, 1077-1089.
2. Glauert, M. B. 1957 The flow past a rapidly rotating circular cylinder. Proc. R. Soc. Lond. A 242, 108-115.
3. Joseph, D. D. & Wang, J. 2004 The dissipation approximation and viscous potential flow. J. Fluid Mech. 505, 365-377.
4. Kang, S., Choi, H. & Lee, S. 1999 Laminar flow past a rotating circular cylinder. Phys. Fluids. 11, 3312-3321.
5. Kang, I. S. & Leal, L. G. 1988 The drag coefficient for a spherical bubble in a uniform streaming flow. Phys. Fluids 31, 233-237.
6. Lagerstrom, P. A. & Cole, J. D. 1955 Examples illustrating expansion procedures for the Navier-Stokes equations. J. Rat. Mech. Anal. 4, 817-882.
7. Levich, V. G. 1949 The motion of bubbles at high Reynolds numbers. Zh. Eksperim. Teor. Fiz. 19, 18.
8. Lighthill, M. J. 1963 In Laminar Boundary Layers (ed. L. Rosenhead), chap. 2. Oxford University Press.
9. Maslen, S. H. 1963 Second-order effects in laminar boundary layers. AIAA J. 1, 33-40.
10. Mittal, S. & Kumar, B. 2003 Flow past a rotating cylinder. J. Fluid Mech. 476, 303-334.
11. Moore, D. W. 1957 The flow past a rapidly rotating circular cylinder in a uniform stream. J. Fluid Mech. 2, 541-550.
12. Moore, D. W. 1959 The rise of a gas bubble in a viscous liquid. J. Fluid Mech. 6, 113-130.
13. Moore, D. W. 1963 The boundary layer on a spherical gas bubble. J. Fluid Mech. 16, 161-176.
14. Padrino, J. C. & Joseph, D. D. 2006 Numerical study of the steady state uniform flow past a rotating cylinder. J. Fluid Mech. 557, 191-223.
15. Panton, R. L. 1984 Incompressible Flow. Wiley-Interscience.
16. Prandtl, L. & Tietjens, O. G. 1936 Applied Hydro-and Aero-mechanics. McGraw-Hill.
17. Pretsch, J. 1938 Zur theoretischen berechnung des profilwiderstandes. Jahrb. d. dt. Luftfahrtforschung 1, 61. Engl. transl. NACA TM 1009 (1942).
18. Schlichting, H. 1960 Boundary layer theory (trans. J. Kestin), 4th edn. McGraw-Hill.
19. Squire, H. B. & Young, A. D. 1938 The calculation of the profile drag of aerofoils. ARC R & M 1838.
20. Tani, I. 1977 History of boundary-layer theory. Annu. Rev. Fluid Mech. 9, 87-111.
21. Van Dyke, M. 1962a Higher approximations in boundary-layer theory. Part 1. General analysis. J. Fluid Mech. 14, 161-177.
22. Van Dyke, M. 1962b Higher approximations in boundary-layer theory. Part 2. Application to leading edges. J. Fluid Mech. 14, 481-495.
23. Van Dyke, M. 1964 Higher approximations in boundary-layer theory. Part 3. Parabola in uniform stream. J. Fluid Mech. 19, 145-159.
24. Van Dyke, M. 1969 Higher-order boundary-layer theory. Annu. Rev. Fluid Mech. 1, 265-292.
25. Wang, J. & Joseph, D. D. 2006 Pressure corrections for the effects of viscosity on the irrotational flow outside Prandtl's boundary layer. J. Fluid Mech. 557, 145-165.
26. 2). J. Fluid Mech. 77, 129-152.
27. Wood, W. W. 1957 Boundary layers whose streamlines are closed. J. Fluid Mech. 2, 77-87.