A note on withdrawal from a fluid of finite depth through a point sink

ANZIAM Journal

Volumn 44, Issue 2, 2002, Pages 181-191

  Hocking, G C ^a   Vanden Broeck, J M ^b   Forbes, L K ^c  

^a MURDOCH UNIVERSITY   (Australia)

^b UNIVERSITY OF EAST ANGLIA   (United Kingdom)

^c UNIVERSITY OF TASMANIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13644278431     PISSN: 14461811     EISSN: None     Source Type: Journal    
DOI: 10.1017/S1446181100013882     Document Type: Article

References (19)

1. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions (Dover, New York, 1970).
2. J. H. Back and H. Y. Chung, "Numerical analysis on axisymmetric draining from a cylindrical tank with a free surface", J. Comp. Fluid Dynamics 6 (1998) 413-425.
3. A. Craya, "Theoretical research on the flow of nonhomogeneous fluids", La Houille Blanche 4 (1949) 44-55.
4. L. K. Forbes and G. C. Hocking, "Flow caused by a point sink in a fluid having a free surface", J. Austral. Math. Soc. Ser. B 32 (1990) 231-249.
5. L. K. Forbes and G. C. Hocking, "The bath-plug vortex", J. Fluid Mech. 284 (1995) 43-62.
6. L. K. Forbes, G. C. Hocking and G. A. Chandler, "A note on withdrawal through a point sink in fluid of finite depth", J. Austral. Math. Soc. Ser. B 37 (1996) 406-416.
7. P. Gariel, "Experimental research on the flow of nonhomogeneous fluids", La Houille Blanche 4 (1949) 56-65.
8. D. R. F. Harleman, R. L. Morgan and R. A. Purple, "Selective withdrawal from a vertically stratified fluid", in Proc. Int. Assoc. Hyd. Res., 8th Congress, Montreal (1959).
9. G. C. Hocking, "Supercritical withdrawal from a two-layer fluid through a line sink", J. Fluid Mech. 297 (1995) 37-47.
10. J. Imberger and P. F. Hamblin, "Dynamics of lakes, reservoirs and cooling ponds", Ann. Rev. Fluid Mech. 14(1982)153-187.
11. G. H. Jirka and D. S. Katavola, "Supercritical withdrawal from two-layered fluid systems. Part 2 - Three dimensional flow into a round intake", J. Hyd. Res. 17 (1979) 53-62.
12. G. A. Lawrence and J. Imberger, "Selective withdrawal through a point sink in a continuously stratified fluid with a pycnocline", Technical Report ED-79-002, Dept of Civil Eng., University of Western Australia, Australia, 1979.
13. B. T. Lubin and G. S. Springer, "The formation of a dip on the surface of a liquid draining from a tank", J. Fluid Mech. 29 (1967) 385-390.
14. C. Sautreaux, "Mouvement d'un liquide parfait soumis à la pesanteur. De termination des lignes de Courant", J. Math. Pures Appl. 7 (1901) 125-159.
15. E. O. Tuck and J.-M. Vanden-Broeck, "A cusp-like free-surface flow due to a submerged source or sink", J. Aust. Math Soc. Ser. B 25 (1984) 443-450.
16. J.-M. Vanden-Broeck and J. B. Keller, "Free surface flow due to a sink", J. Fluid Mech. 175 (1987) 109-117.
17. J.-M. Vanden-Broeck and J. B. Keller, "An axisymmetric free surface with a 120° along a circle", J. Fluid Mech. 342 (1997) 403-409.
18. I. R. Wood, "Selective withdrawal from two-layer fluid", J. Hyd. Div. (ASCE) HY12 (1978) 1647-1659.
19. Q. Zhou and W. P. Graebel, "Axisymmetric draining of a cylindrical tank with a free surface", J. Fluid Mech. 221 (1990) 511-532.