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Momentum transport equation for the fluids using projection–perturbation formalism and onset of turbulence

Author

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  • Jirkovsky, L.
  • Bo-ot, L.

Abstract

It is shown that it is possible to derive corrections to the Navier–Stokes equation from the Liouville equation using projection techniques and a perturbation analysis. In the first order the Reynolds equation is obtained, in the second- and third-order corrections to the Navier–Stokes equation are derived raising the possibility of periodic, quasi-periodic and irregular solutions.

Suggested Citation

  • Jirkovsky, L. & Bo-ot, L., 2005. "Momentum transport equation for the fluids using projection–perturbation formalism and onset of turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 241-251.
    • Handle: RePEc:eee:phsmap:v:352:y:2005:i:2:p:241-251
    DOI: 10.1016/j.physa.2004.11.069
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    Cited by:

    1. Jirkovsky, L. & Bo-ot, L.Ma., 2008. "Numerical tests of a new molecule-dependent momentum transport equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5012-5016.

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