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

L. Jirkovsky and L. Bo-ot

Physica A: Statistical Mechanics and its Applications, 2005, vol. 352, issue 2, 241-251

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.

Keywords: Momentum transport; Instability; Onset of turbulence; Projection techniques (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:352:y:2005:i:2:p:241-251

DOI: 10.1016/j.physa.2004.11.069

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