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Stokes’ Force for a Stationary Rotating Sphere

  • ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
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The problem of the Stokes force has been solved for a stationary rotating sphere. It is analytically proved that the rotation has no effect on the Stokes force, and its form remains unchanged: F= 6πηRu.

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References

  1. L. Prandtl and O. Titens, Hydro- and Aeromechanics, Vols. 1 and 2 [Russian translation], State Publishing House of Technical and Theoretical Literature, Moscow (1933–1935).

  2. H. Lamb, Hydrodynamics [Russian translation], State Publishing House of Technical and Theoretical Literature, Moscow (1947).

    Google Scholar 

  3. S. A. Khristianovich, V. G. Galperin, M. D. Millionshchikov, and L. A. Simonov, Applied Gas Dynamics [in Russian], Publishing House of Central Aerohydrodynamic Institute, Moscow (1948).

  4. N. E. Zhukovskii, Collection of Works, Vol. 2. Hydrodynamics [in Russian], State Publishing House of Technical and Theoretical Literature, Moscow (1949).

  5. H. W. Liepmann and A. E. Puckett, Introduction to Aerodynamics of a Compressible Fluid [Russian translation], Inostrannaya Literatura, Moscow (1949).

    Google Scholar 

  6. N. A. Slezkin, Dynamics of a Viscous Incompressible Fluid [in Russian], State Publishing House of Technical and Theoretical Literature, Moscow (1955).

  7. V. G. Levich, Physical and Chemical Hydrodynamics [in Russian], Fizmatlit, Moscow (1959).

  8. G. Birkhoff, Hydrodynamics, Princeton University Press, Princeton (1950).

    MATH  Google Scholar 

  9. J. Serrin, Mathematical Principles of Classical Fluid Mechanics, State Publishing House of Foreign Literature, Moscow (1963).

    Google Scholar 

  10. N. E. Kochin, I. A. Kibel, and N. V. Rose, Theoretical Hydromechanics, Vols. 1 and 2 [in Russian], Fizmatlit, Moscow (1963).

  11. L. M. Milne-Thompson, Theoretical Hydrodynamics [Russian translation], Mir, Moscow (1964).

  12. A. S. Monin and A. M. Yaglom, Statistical Hydromechanics, Parts 1 and 2 [in Russian], Nauka, Moscow (1965–1967).

  13. H. Rouse, Elementary Mechanics of Fluids [Russian translation], Dover Publications, Mew York (1946).

  14. L. I. Sedov, Mechanics of a Continuous Medium, Vols. 1 and 2 [in Russian], Nauka, Moscow (1970).

  15. I. S. Sikol’nikov, Tensor Analysis. Theory and Applications in Geometry and in Mechanics of Continuous Media [in Russian], Nauka, Moscow (1971).

  16. A. A. Il’yushin, Mechanics of a Continuum Medium [in Russian], Publishing House of Moscow State University, Voscow (1971–1990).

  17. S. O. Gladkov, Russ. Phys. J., 61, No. 6, 1117–1120 (2018).

    Article  Google Scholar 

  18. S. O. Gladkov, Solid State Commun., 94, Nо. 9, 789–791 (1995).

  19. L. D. Landau and E. M. Lifshits, Hydrodynamics, Vol. 6 [in Russian], Nauka, Moscow (1998).

  20. S. O. Gladkov, Pis’ma Zh.Tekh. Fiz., 31, No. 12, 71–75 (2005).

  21. S. O. Gladkov, Zh. Tekh. Fiz., 59, No. 3, 337–341 (2018).

    Google Scholar 

  22. E. M. Lifshits and L. P. Pitaevskii, Physical Kinetics, Vol. 10 [in Russian], Nauka, Moscow (1979).

  23. P. Résibois and M. de Leener, Classical Kinetic Theory of Fluids and Gases [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  24. L. D. Landau and E. M. Lifshits, Field Theory, Vol. 2 [in Russian], Nauka, Moscow (1978).

  25. A. G. MacConnel, Applications of Tensor Analysis [Russian translation], Mir, Moscow (1957).

    Google Scholar 

  26. P. K. Rashevskii, Riemann Geometry and Tensor Analysis [in Russian], Nauka, Moscow (1967).

  27. S. O. Gladkov, Bull. Moscow Region State Univ., Ser. Phys. Math., No. 1, 16–45 (2019).

  28. S. O. Gladkov, Bull. Moscow Region State Univ., Ser. Phys. Math., No. 3, 42–67 (2019).

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Correspondence to S. O. Gladkov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 88–94, May, 2022.

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Gladkov, S.O. Stokes’ Force for a Stationary Rotating Sphere. Russ Phys J 65, 856–865 (2022). https://doi.org/10.1007/s11182-022-02707-0

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