Transient motion of a viscous liquid with free surface in a cylindrical container

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 79, Issue 2, 1999, Pages 97-106

  Bauer, H F ^a   Eidel, W ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

Anchored contact line; Cylindrical container; Forced liquid oscillation; Response; Slipping liquid; Transient motion; Viscous sloshing

Indexed keywords

EID: 22444452275     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(sici)1521-4001(199902)79:2<97::aid-zamm97>3.0.co;2-b     Document Type: Article

References (24)

1. ABRAMSON, H. N. (ed.): The dynamic behavior of liquids in moving containers. NASA-SP-106, 1966.
2. GRAHAM, E. W.; RODRIGUEZ, A. M.: The characteristics of fuel motion which affect airplane dynamics. J. Appl. Mech. 19 (1952), 381-388.
3. BAUER, H. F.; VILLANUEVA, J.: Theory of liquid sloshing in a rectangular container with numerical examples for C-5A wing. Lockheed-Georgia Company Report no. ER-8390, 1966.
4. BAUER, H. F.: Treibstoffschwingungen in Raketenbehältern und ihr Einfluß auf die Gesamtstabilität. Teil I. ZFW 12 (1964), 85-101.
5. BAUER, H. F.: Theory of liquid sloshing in compartmented cylindrical tanks due to bending excitation. AIAA J. 1 (1963), 1590-1595.
6. BAUER, H. F.: Liquid sloshing in a cylindrical quartertank. AIAA J. 1 (1963), 2601-2606.
7. BAUER, H. F.: Response of liquid in a rectangular container. J. Engng. Mech. Div., Proc. Amer. Soc. Civil Engineers 92 (1966), 1-23.
8. BAUER, H. F.: Flüssigkeitsschwingungen mit freier Oberfläche in keilförmigen Behältern. Acta Mech. 38 (1981), 31-34.
9. BAUER, H. F.: Flüssigkeitsschwingungen in Kegelbehälterformen. Acta Mech. 43 (1982), 185-200.
10. BAUER, H. F.: Freie Flüssigkeitsschwingungen in parabolischen Behälterformen. ZFW 5 (1981), 249-253.
11. BAUER, H. F.: Forced liquid oscillations in paraboloid-containers. ZFW 8 (1984), 49-55.
12. BAUER, H. F.; EIDEL, W.: Liquid oscillations in a prolate spheroid. Ing.-Arch. 5 (1989), 371-381.
13. BUDIANSKY, B.: Sloshing of liquids in circular canals and spherical tanks. J. Aerospace Sci. 27 (1960), 161-173.
14. CHUN, W. H.: Fuel sloshing in a spherical tank filled to an arbitrary depth. AIAA J. 2 (1964), 1972-1979.
15. CHUN, W. H.: Sloshing of liquids in cylindrical tanks of elliptical cross section. ARS-J. 30 (1960), 360-363.
16. RATTAYYA, A.: Sloshing of liquids in axisymmetric ellipsoidal tanks. AIAA-paper 65-114. AIAA-2, Aerospace Science Meeting. New York 1965.
17. LEVIN, E.: Oscillations of a fluid in a rectilinear conical container. AIAA-J. 1 (1973), 1447.
18. DOKUCHAEV, L. V.: On the solution of a boundary value problem on the sloshing of a liquid in conical cavities. PMM 28 (1964), 151-154.
19. LAMB, H.: Hydrodynamics. 6th ed., Dover Publ., New York 1945.
20. SIEKMANN, J.; CHANG, S. C.: On liquid sloshing in a cylindrical tank with flexible bottom under strong capillary and weak gravity conditions. J. Astronaut. Sci. 14 (1967), 167-172.
21. BAUER, H. F.: Liquid oscillations in a circular cylindrical container with "sliding" contact line. Forsch. Ing. Wes. 58 (1992), 240-251.
22. WATSON, G. N.: A treatise on the theory of Bessel functions. Cambridge, Cambridge University Press 1922.
23. BAUER, H. F.; EIDEL, W.: Oscillations of a viscous liquid in a cylindrical container. Aerospace Sci. Technol. 8 (1997), 519-532.
24. BAUER, H. F.; EIDEL, W.: Axisymmetric viscous liquid oscillations in a cylindrical container. Forsch. Ing. Wes. 63 (1997), 189-201.