Absolute instability of the von Kármán, Bödewadt and Ekman flows between a rotating disc and a stationary lid

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 363, Issue 1830, 2005, Pages 1131-1144

  Jasmine, Hosne Ara ^a   Gajjar, Jitesh S B ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Absolute instability; B dewadt flows; Convective instability; Ekman flows; Rotating disc; Von K rm n flows

Indexed keywords

EID: 22544482625     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2005.1555     Document Type: Conference Paper

References (18)

1. Balakumar, P. & Malik, M. R. 1990 Travelling disturbances in rotating-disk flow. Theor. Comput. Fluid Dyn. 2, 125-137.
2. Bödewadt, U. T. 1940 Die drehströmung iiber festem grund. Z. angew. Math. Mech. 20, 241-253.
3. Briggs, R. J. 1964 Electron-stream interaction with plasmas. Cambridge, MA: MIT Press.
4. Ekman, V. W. 1905 On the influence of the earth's rotation on ocean currents. Ark. Mat. Astr. Fys. 2.
5. Faller, A. J. & Kaylor, R. E. 1966 A numerical study of the instability of the laminar Ekman boundary layer. J. Atm. Sci. 23, 466-480.
6. Jasmine, H. A. 2003 Absolute and convective instabilities in some rotating fluid flows. Ph.D thesis, University of Manchester.
7. Lilly, D. K. 1966 On the instability of Ekman boundary layer flow. J. Atm. Sci. 23, 481-494.
8. Lingwood, R. J. 1995 Absolute instability of the boundary layer on a rotating-disk. J. Fluid Mech. 299, 17-33.
9. Lingwood, R. J. 1996 An experimental study of absolute instability of the rotating-disk boundary layer flow. J. Fluid Mech. 314, 373-405.
10. Lingwood, R. J. 1997 Absolute instability of the Ekman layer and related rotating flows. J. Fluid Mech. 331, 405-428.
11. Malik, M. R. 1986 The neutral curve for stationary disturbances in rotating-disk flow. J. Fluid Mech. 164, 275-287.
12. Melander, M. V. 1983 An algorithmic approach to the linear stability of the Ekman layer. J. Fluid Mech. 132, 283-293.
13. Savaş, O. 1987 Stability of Bödewadt flow. J. Fluid Mech. 183, 77-94.
14. Schouveiler, L., Legal, P. & Chauve, M. P. 2001 Instabilities of the flow between a rotating and a stationary disk. J. Fluid Mech. 443, 329-350.
15. Serre, E., Crespo del Arco, E. & Bontoux, P. 2001 Annular and spiral patterns in flows between rotating and stationary discs. J. Fluid Mech. 434, 65-100.
16. Tatro, P. R. & Mollö-Christensen, E. L. 1967 Experiments on Ekman layer instability. J. Fluid Mech. 28, 531-543.
17. Turkyilmazoglu, M. & Gajjar, J. S. B. 1998 Absolute and convective instability in the incompressible boundary layer on a rotating disk. Report no. CLSCM-1998-003, University of Manchester.
18. von Kármán, T. 1921 Über laminare und turbulente reibung. Z. angew. Math. Mech. 1, 233-252.