Riassunto
Si affronta il problema del moto di un corpo di forma sferica in un fluido viscoso incomprimibile, infinitamente esteso, con memoria non evanescente. Si assume che il fluido ed il corpo siano in quiete fino ad un istante fissato e che, successivamente, il corpo sia soggetto ad un moto traslatorio. In tali condizioni si determina il moto del fluido originato dal moto del corpo e l’azione del fluido sul corpo stesso.
Summary
The problem of the motion of a sphere in a viscous incompressible fluid of unlimited extent is examined, under the assumption that the memory of the fluid does not fade in time. The fluid and the sphere are assumed to be at rest up to a fixed time; subsequently the sphere is allowed to move without rotation. The motion of the fluid caused by the motion of the sphere and the action of the fluid on the sphere are determined.
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Bibliografia
A. B. Basset,A Treatise on Hydrodynamics, vol. 2, Dover Publ., New York (1961).
J. Boussinesq,Theorie analytique de la chauleur, vol. 2, Gauthier-Villars, Paris (1903).
C. W. Oseen,Hydrodynamik, Leipzig (1927), pp. 114–134.
C. M. Tchen,Mean Value and Correlation Problems Connected with the Motion of Small Particles in a Turbulent Fluid, Ph. D. thesis, Delft (1947).
S. Corrsin—J. Lumley,On the equation of motion for a particle in turbulent fluid, App. Sci. Research,6-A (1956), p. 114.
J. O. Hinze,Turbulence, Mc. Graw-Hill, New York (1959).
S. L. Soo,Equation of motion of a solid particle suspended in a fluid, Phys. Fluids,18 (1975), p. 263.
R. Ray,On the equation of particle motion in a generalized and relative system, Tensor,34 (1980), p. 360.
Yu. A. Buevich,Motion resistance of a particle suspended in a turbulent medium, J. Izv. AN SSSR Mekhanika Zhidkosti i Gaza,1 (1966), pp. 182–183.
F. Bampi—A. Morro,Mixture approach to a model for sediment transport, Phys. Fluids,24 (1981), pp. 209–213.
A. Morro,Wave propagation in thermo-viscous materials with hidden variables, Arch. Mech.,32 (1980), pp. 145–161.
A. Morro,Acceleration waves in thermo-viscous fluids, Rend. Sem. Mat. Univ. Padova,63 (1980), pp. 169–184.
F. Bampi—A. Morro,Viscous fluids with hidden variables and hyperbolic systems, Wave motion2 (1980), pp. 153–157.
F. Bampi—A. Morro,Nonstationary thermodynamics and wave propagation in heat-conducting viscous fluids, J. Phys., A14 (1981), pp. 631–638.
G. Del Piero—M. E. Gurtin—P. Podio Guidugli,Seminari di Elasticità Lineare, Quaderno C.N.R., Ed. Tec. Scientifica, Pisa 1978.
E. H. Dill,Simple Materials with Fading Memory, in Continuum Physics ed. by A. C. Eringen, Academic Press, New York (1975).
B. D. Coleman—M. E. Gurtin,Thermodynamics with internal state variables, J. Chem. Phys.,47 (1967), pp. 597–613.
W. A. Day,Entropy and hidden variables in continuum thermodynamics, Arch. Rational Mech. Anal.,62 (1976), pp. 367–389.
N. S. Koshlyakov—M. M. Smirnov—E. B. Gliner,Differential equations of mathematical physics, North-Holland Publ., Amsterdam (1964).
A. N. Tikhonov—A. A. Samarkii,Equations of Mathematical Physics, Pergamon Press, Oxford, 1963.
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Benati, M. Forza agente su una sfera in un fluido viscoso con memoria. Ann. Univ. Ferrara 27, 147–158 (1981). https://doi.org/10.1007/BF02825095
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DOI: https://doi.org/10.1007/BF02825095