Turbulent flow in channels in terms of local turbulent shear and normal stresses

Stuart W. Churchill, Christina Chan

Research output: Contribution to journalArticle

  • 29 Citations

Abstract

The local time-averaged velocity, the mixed-mean velocity, and the friction factor for fully turbulent flow between parallel plates and in round tubes and concentric circular annuli can be expressed in terms of integrals of the turbulent shear stress. The pressure distribution across a channel can similarly be expressed in terms of an integral of normal stresses. These formulations, which are simple and exact, can be integrated numerically using experimental data, computed values, or correlating equations for turbulent stresses. Their greatest merit, however, may arise from the insight they provide with respect to the contributions of the fluctuating components of the velocity. For example, for concentric circular annuli such a formulation identifies a difference between the locations of the maximum in the velocity and the zero in the total shear stress. This difference, which has been overlooked in most experimental and semitheoretical investigations, introduces an error of unknown but possibly significant magnitude into all of the results. It also precludes the application of the mixing-length, eddy viscosity and k - ε models.

Original languageEnglish (US)
Pages (from-to)2513-2521
Number of pages9
JournalAICHE Journal
Volume41
Issue number12
StatePublished - Dec 1995
Externally publishedYes

Profile

Acetyl-CoA Hydrolase
Friction
Viscosity
Addison Disease
Protamine Kinase
Alternaria
Turbulent flow
Shear stress
Phenylglyoxal
Anthralin
Artificial Heart
Cestoda
Pressure distribution

ASJC Scopus subject areas

  • Biotechnology
  • Chemical Engineering(all)
  • Mechanical Engineering
  • Environmental Engineering
  • Polymers and Plastics

Cite this

Turbulent flow in channels in terms of local turbulent shear and normal stresses. / Churchill, Stuart W.; Chan, Christina.

In: AICHE Journal, Vol. 41, No. 12, 12.1995, p. 2513-2521.

Research output: Contribution to journalArticle

Churchill, Stuart W.; Chan, Christina / Turbulent flow in channels in terms of local turbulent shear and normal stresses.

In: AICHE Journal, Vol. 41, No. 12, 12.1995, p. 2513-2521.

Research output: Contribution to journalArticle

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