Onset of Turbulence in Planar and Circular Pipe

  • L. Jirkovsky
  • L. Bo-ot

Abstract

A third-order hydrodynamic equation with a molecular structure parameter, obtained through a projection and perturbation formalism from the Liouville equation is applied to circular and planar Poisseuille-Hagen flow. It is shown that there is no principal difference in the resulting parabolic velocity profiles as long as the flows remain laminar. However, a difference is noted in the onset of turbulence in consistency with observations, showing larger stability of the parabolic velocity profile in circular pipe.
Published
2007-07-16
How to Cite
JIRKOVSKY, L.; BO-OT, L.. Onset of Turbulence in Planar and Circular Pipe. Science Diliman: A Journal of Pure and Applied Sciences, [S.l.], v. 15, n. 1, july 2007. ISSN 2012-0818. Available at: <https://www.journals.upd.edu.ph/index.php/sciencediliman/article/view/127>. Date accessed: 26 sep. 2025.
Section
Articles