On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section
A study is made of an unsteady flow of an incompressible viscous fluid with embedded small inert spherical particles contained in a tube of elliptic cross-section due to a periodic pressure gradient acting along the length of the tube. The solutions for the fluid velocity and the particle velocity a...
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Format: | Article |
Language: | English |
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Wiley
1990-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171290000928 |
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author | A. K. Ghosh A. R. Khan L. Debnath |
author_facet | A. K. Ghosh A. R. Khan L. Debnath |
author_sort | A. K. Ghosh |
collection | DOAJ |
description | A study is made of an unsteady flow of an incompressible viscous fluid with embedded small inert spherical particles contained in a tube of elliptic cross-section due to a periodic pressure gradient acting along the length of the tube. The solutions for the fluid velocity and the particle velocity are obtained for large and
small times. It is shown that the effect of particles on the flow is significant in the small-time solution while the large-tlme solution shows no effect of the particles on the flow. |
format | Article |
id | doaj-art-ae5dc4b52d7b47ea90011c873e548e53 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1990-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-ae5dc4b52d7b47ea90011c873e548e532025-02-03T06:13:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113466967610.1155/S0161171290000928On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-sectionA. K. Ghosh0A. R. Khan1L. Debnath2Department of Mathematics, Jadavpur University, Calcutta 700032, IndiaDepartment of Mathematics, Taki Government College, 24 - Parganas, West Bengal, IndiaDepartment of Mathematics, University of Central Florida, Orlando, Florida 32816, USAA study is made of an unsteady flow of an incompressible viscous fluid with embedded small inert spherical particles contained in a tube of elliptic cross-section due to a periodic pressure gradient acting along the length of the tube. The solutions for the fluid velocity and the particle velocity are obtained for large and small times. It is shown that the effect of particles on the flow is significant in the small-time solution while the large-tlme solution shows no effect of the particles on the flow.http://dx.doi.org/10.1155/S0161171290000928 |
spellingShingle | A. K. Ghosh A. R. Khan L. Debnath On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section International Journal of Mathematics and Mathematical Sciences |
title | On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section |
title_full | On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section |
title_fullStr | On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section |
title_full_unstemmed | On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section |
title_short | On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section |
title_sort | on a pulsatile flow of a two phase viscous fluid in a tube of elliptic cross section |
url | http://dx.doi.org/10.1155/S0161171290000928 |
work_keys_str_mv | AT akghosh onapulsatileflowofatwophaseviscousfluidinatubeofellipticcrosssection AT arkhan onapulsatileflowofatwophaseviscousfluidinatubeofellipticcrosssection AT ldebnath onapulsatileflowofatwophaseviscousfluidinatubeofellipticcrosssection |