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A note on general solution of Stokes equations

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Abstract

Li et al. (2015) claim that it is sufficient to use two harmonic functions to express the general solution of Stokes equations. In this paper, we demonstrate that this is not true in a general case and that we in fact need three scalar harmonic functions to represent the general solution of Stokes equations (Venkatalaxmi et al., 2004).

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References

  1. Padmavathi, B.S., Amaranath, T.: A note on the decomposition of solenoidal fields. Appl. Math. Lett. 15, 803–805 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Venkatalaxmi, A., Padmavathi, B.S., Amaranath, T.: Complete general solution of Stokes equations for plane boundaries. Mech. Res. Comm. 31, 465–475 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Almansi, E.: Sull’ integrazione dell’ equazione differenziale \(\nabla ^{2n}F = 0\). Ann. di Mat. Ser. 3, 1 (1899). (in Italian)

    Article  Google Scholar 

  4. Li, X.-Y., Ren, S.-C., He, Q.-C.: A general solution for Stokes flow and its application to the problem of a rigid plate translating in a fluid. Acta Mech. Sin. 31, 32–44 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  5. Batchelor, G.K.: The stress system in a suspension of force-free particles. J. Fluid Mech. 41, 545 (1970)

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Correspondence to T. Amaranath.

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Padmavati, B.S., Amaranath, T. A note on general solution of Stokes equations. Acta Mech. Sin. 32, 1044–1045 (2016). https://doi.org/10.1007/s10409-016-0601-3

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  • DOI: https://doi.org/10.1007/s10409-016-0601-3

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