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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Main Authors: A. K. Ghosh, A. R. Khan, L. Debnath
Format: Article
Language:English
Published: Wiley 1990-01-01
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.
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1687-0425
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publishDate 1990-01-01
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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
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