A numerical study of effects of the axial stress on unsteady liquid pipeline flows

Masaji Watanabe, Yukio Kono, Hiroshi Suito

Research output: Contribution to journalArticle

Abstract

We study the effects of the axial component of the shear stress on unsteady pipeline flows. We show that the axial component of the shear stress should be introduced in themodeling of unsteady flows, and as a numerical model, we propose a one-dimensional momentum equation in which a term containing the second derivative of thevelocity with respect to space is introduced. The momentum equation and the continuity equation are converted into a system suitable for the application of upstream difference approximations. Numerical results are presented, and their correspondence with experimental results is examined to see how our model captures phenomena observed experimentally.

Original languageEnglish
Pages (from-to)777-788
Number of pages12
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2004
Issue number15
DOIs
Publication statusPublished - 2004
Externally publishedYes

Fingerprint

Shear Stress
Numerical Study
Momentum
Liquid
Difference Approximation
Continuity Equation
Unsteady Flow
Second derivative
Correspondence
Numerical Results
Experimental Results
Term
Model

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

A numerical study of effects of the axial stress on unsteady liquid pipeline flows. / Watanabe, Masaji; Kono, Yukio; Suito, Hiroshi.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 2004, No. 15, 2004, p. 777-788.

Research output: Contribution to journalArticle

Watanabe, Masaji ; Kono, Yukio ; Suito, Hiroshi. / A numerical study of effects of the axial stress on unsteady liquid pipeline flows. In: International Journal of Mathematics and Mathematical Sciences. 2004 ; Vol. 2004, No. 15. pp. 777-788.
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