A numerical study of effects of the axial stress on unsteady liquid pipeline flows
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 the modeling of unsteady flows, and as a numerical model, we propose a one-dimensional momentum equation in which a term containin...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204211024 |
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| Summary: | 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 the modeling of unsteady
flows, and as a numerical model, we propose a one-dimensional
momentum equation in which a term containing the second
derivative of the velocity 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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| ISSN: | 0161-1712 1687-0425 |