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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| _version_ | 1832563977189588992 |
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| author | Masaji Watanabe Yukio Kono Hiroshi Suito |
| author_facet | Masaji Watanabe Yukio Kono Hiroshi Suito |
| author_sort | Masaji Watanabe |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-31571f197cf044c18366c4a0b12080b7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-31571f197cf044c18366c4a0b12080b72025-02-03T01:12:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041577778810.1155/S0161171204211024A numerical study of effects of the axial stress on unsteady liquid pipeline flowsMasaji Watanabe0Yukio Kono1Hiroshi Suito2Faculty of Environmental Science and Technology, Okayama University, Okayama, Tsushima 700-8530, JapanFaculty of Engineering, Tohoku Gakuin University, Tagajo 985-8537, JapanFaculty of Environmental Science and Technology, Okayama University, Okayama, Tsushima 700-8530, JapanWe 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.http://dx.doi.org/10.1155/S0161171204211024 |
| spellingShingle | Masaji Watanabe Yukio Kono Hiroshi Suito A numerical study of effects of the axial stress on unsteady liquid pipeline flows International Journal of Mathematics and Mathematical Sciences |
| title | A numerical study of effects of the axial stress on unsteady
liquid pipeline flows |
| title_full | A numerical study of effects of the axial stress on unsteady
liquid pipeline flows |
| title_fullStr | A numerical study of effects of the axial stress on unsteady
liquid pipeline flows |
| title_full_unstemmed | A numerical study of effects of the axial stress on unsteady
liquid pipeline flows |
| title_short | A numerical study of effects of the axial stress on unsteady
liquid pipeline flows |
| title_sort | numerical study of effects of the axial stress on unsteady liquid pipeline flows |
| url | http://dx.doi.org/10.1155/S0161171204211024 |
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