TY - JOUR
T1 - A numerical study of effects of the axial stress on unsteady liquid pipeline flows
AU - Watanabe, Masaji
AU - Kono, Yukio
AU - Suito, Hiroshi
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
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U2 - 10.1155/S0161171204211024
DO - 10.1155/S0161171204211024
M3 - Article
AN - SCOPUS:17844387813
SN - 0161-1712
VL - 2004
SP - 777
EP - 788
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 15
ER -