Abstract
This study elaborates the attitude dynamics of a cylinder floating in two immiscible fluids. A cubic polynomial was derived based on the attitude angle, weight, center of gravity, and the density ratio of fluids. The numerical solution was validated by experimental data. Under prescribed constraints for the physical model, we have found that multiple solutions exist for cases with no radially biased center of gravity. When the center of gravity is biased, the attitude angles change abruptly around some critical values, which is related to the density ratio. Moreover, the attitude angles are less sensitive to the varying density ratios when the cylinder is heavier. The results also reveal that the cylinder tends to be vertical for nearly the whole range of density ratios when the center of gravity is slightly biased radially.
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References
Thurman H.V.: Introductory Oceanography. Prentice-Hall, New Jersey (1997)
Vogel S.: Life in Moving Fluids. Princeton University Press, New Jersey (1994)
Francis L.: Sailing downwind: aerodynamic performance of the Velella sail. J. Exp. Biol. 158, 117–132 (1991)
Khoury, G.A., Gillett, J.D. (eds): Airship Technology (Cambridge Aerospace Series). Cambridge University Press, UK (2004)
Shyy W., Lian Y., Tang J., Viieru D., Liu H.: Aerodynamics of Low Reynolds Number Flyers. Cambridge University Press, New York (2008)
Shyy W., Berg M., Ljungqvist D.: Flapping and flexible wings for biological and micro air vehicles. Progr. Aero. Sci. 35, 155–205 (1999)
Shyy W., Lian Y., Tang J., Liu H., Trizila P., Stanford B., Bernal L.P., Cesnik C.E.S., Friedmann P., Ifju P.: Computational aerodynamics of low Reynolds number plunging, pitching and flexible wings for MAV applications. Acta Mech. Sin. 24, 351–373 (2008)
Clayton B.R., Bishop R.E.D.: Mechanics of Marine Vehicles. E. & F. N. SPON, London (1982)
Burcher R., Rydill L.: Concepts in Submarine Design. Cambridge University Press, Cambridge (1999)
Light R.D., Morison J.: The autonomous conductivity–temperature vehicle: First in the seashuttle family of autonomous underwater vehicle’s for scientific payloads. Proc. Oceans ’89 3, 793–798 (1989)
Woolsey C.A., Leonard N.E.: Moving mass control for underwater vehicles. Proc. 2002 Am. Control Conf. 4, 2824–2829 (2002)
Fisher F.H., Spiess F.N.: FLIP—floating instrument platform. J. Acoust. Soc. Am. 35, 1633–1644 (1963)
Dugdale D.S.: Stability of a floating cylinder. Int. J. Eng. Sci. 42(7), 691–698 (2004)
Barlow, J.J., Nicholson, K.: An introduction to submarine longitudinal static and dynamic stability concepts. International Symposium on Naval Submarines, London, UK (1983)
Zubaly B.R.: Applied Naval Architecture. Cornell Maritime Press, Centreville (1996)
Buyanov E.V.: A method and device for determining a center of gravity. Meas. Tech. 35(8), 919–922 (1992)
Schechter, S.E., Leyenaar, A.R.: Center of gravity locating method. United States Patent 5081865, USA (1992)
Chen J.L., Chen C.I.: The modeling and numerical solutions for the inclinations of a floating cylinder on a liquid surface. J. Chin. Soc. Mech. Eng. 27(2), 241–248 (2006)
Chen, J.L., Wu, C.H., Hsu, C.C.: The modeling and simulation for attitudes of floating bodies with arbitrary configurations. In: Proceedings of 2005 Spring Simulation Multiconference, SCS, San Diego, CA., USA, 179–185 (2005)
Shyy W., Udaykumar H.S., Rao M.M., Smith R.W.: Computational Fluid Dynamics with Moving Boundaries. Taylor &, Washington, DC (1996)
Gerald C.F., Wheatley P.O.: Applied Numerical Analysis. Addison–Wesley, Harlow (1984)
Lacasse D., Turgeon E., Pelletier D.: On the judicious use of the k-e model, wall functions and adaptivity. Int. J. Therm. Sci. 43, 925–938 (2004)
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Chen, J.L. Attitude dynamics of a cylinder floating in immiscible fluids. Acta Mech Sin 26, 383–389 (2010). https://doi.org/10.1007/s10409-009-0329-4
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DOI: https://doi.org/10.1007/s10409-009-0329-4