Steady stokes flow in an annular cavity

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 49, Issue 4, 1996, Pages 592-619

  Krasnopolskaya, T S ^a,b   Meleshko, V V ^a,c   Peters, G W M ^a   Meijer, H E H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b INSTITUTE OF HYDROBIOLOGY   (Ukraine)

^c National Academy of Sciences of Ukraine   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; EQUATIONS OF MOTION;

ANNULAR CAVITY; CREEPING FLOWS; MOFFATT EDDIES; STEADY STOKES FLOW; SUPERPOSITION METHOD; TANGENTIAL VELOCITIES; VELOCITY FIELD DISTRIBUTION; WEDGE SHAPED CAVITY;

VISCOUS FLOW;

EID: 0030284660     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/49.4.593     Document Type: Article

References (35)

1. H. LAMB, Hydrodynamics, 6th edition (University Press, Cambridge 1932).
2. J. HAPPEL and H. BRENNER, Low Reynolds Number Hydrodynamics (Prentice-Hall, Englewood Cliffs 1965).
3. H. HASIMOTO and O. SANO, Ann. Rev. Fluid Mech. 12 (1980) 335-363.
4. LORD RAYLEIGH, Phil. Mag. (5) 36 (1893) 354-372.
5. J. N. GOODIER, ibid. (7) 17 (1934) 554-576.
6. S. P. TIMOSHENKO and J. N. GOODIER, Theory of Elasticity, 3rd edition (McGraw-Hill, New York 1970).
7. W. R. DEAN and P. E. MONTAGNON, Proc. Cambridge phil. Soc. 45 (1949) 389-395.
8. H. K. MOFFATT, J. Fluid Mech. 18 (1964) 1-18.
9. D. J. JEFFREY and J. D. SHERWOOD, ibid. 96 (1980) 315-334.
10. H. K. MOFFATT, In Approximation Methods for Navier-Stokes Problems, Lecture Notes in Mathematics 771 (ed. R. Rautmann; Springer, Berlin 1980) 371-380.
11. T. S. KRASNOPOLSKAYA, Mech. Res. Comm. 22 (1995) 9-14.
12. S. TANEDA, J. Phys. Soc. Japan 46 (1979) 1935-1942.
13. F. PAN and A. ACRIVOS, J. Fluid Mech. 28 (1967) 643-655.
14. D. D. JOSEPH and L. STURGERS, SIAM J. appl. Math. 34 (1978) 7-26.
15. P. N. SHANKAR, J. Fluid Mech. 250 (1993) 371-383.
16. C. H. LIU and D. D. JOSEPH, ibid. 80 (1977) 443-463.
17. A. A. BABLOYAN, Izv. Acad. Nauk AzmSSR 15 (1962) 87-101.
18. J. N. FLAVIN, Q. Jl Mech. appl. Math. 45 (1992) 553-573.
19. J. R. BARBER, Elasticity (Kluwer, Dordrecht 1992).
20. P. F. PAPKOVICH, Appl. Math. Mech. 5 (1941) 359-369.
21. G. F. CARRIER, Trans. ASME, J. Appl. Mech. 11 (1944) 134-139.
22. G. LAMÉ, Lecons sur la Théorie Mathématique de l'Elasticité des Corps Solids (Bachelier, Paris 1852).
23. J. FOURIER, The Analytical Theory of Heat (Dover, New York 1955).
24. G. I. TAYLOR, In Miszellangen der Angewandten Mechanik (ed. M. Schäfer; Akademie-Verlag, Berlin 1962) 313-315.
25. L. V. KANTOROVICH and V. I. KRYLOV, Approximate Methods of Higher Analysis (Wiley, New York 1964).
26. E. R. HANSEN, A Table of Series and Products (Prentice-Hall, Englewood Cliffs 1973).
27. M. ABRAMOWITZ and I. A. STEGUN, Handbook of Mathematical Functions (Dover, New York 1965).
28. B. M. KOIALOVICH, Proc. Steklov Fiz.-Mat. Inst. 3 (1930) 41-167.
29. A. M. GOMILKO, V. T. GRINCHENKO and V. V. MELESHKO, Sov. appl. Mech. 22 (1986) 770-778.
30. A. M. GOMILKO, Comput. Maths. math. Phys. 33 (1993) 865-877.
31. F. OBERHETTINGER, Fourier Expansions (Academic Press, New York 1973).
32. LORD RAYLEIGH, Phil. Mag. (6) 21 (1911) 177-195.
33. D. H. MICHAEL and M. E. O'NEILL, J. Fluid Mech. 80 (1977) 785-794.
34. I. N. SNEDDON, The Use of Integral Transforms (McGraw-Hill, New York 1972).
35. N. E. JOUKOVSKY, Collected Papers, Vol. 2 (ONTI, Moscow 1935) 149-331.