On unsteady two-phase fluid flow due to eccentric rotation of a disk
We examine the unsteady flow of a two-phase fluid generated by the nontorsional oscillations of a disk when the disk and the fluid at infinity rotate noncoaxially with the same angular velocity. The solutions are obtained for both the fluid and the particle velocities in closed form. It is found tha...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203301498 |
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| author | A. K. Ghosh S. Paul L. Debnath |
| author_facet | A. K. Ghosh S. Paul L. Debnath |
| author_sort | A. K. Ghosh |
| collection | DOAJ |
| description | We examine the unsteady flow of a two-phase fluid generated by
the nontorsional oscillations of a disk when the disk and the
fluid at infinity rotate noncoaxially with the same angular
velocity. The solutions are obtained for both the fluid and the
particle velocities in closed form. It is found that the
solutions remain valid for all values of the frequency of
oscillations of the disk including the resonant frequency, which
is equal to the angular velocity of rotation. But, in absence of
particles, only in the case of resonance no oscillatory solution
is possible, which is similar to that of solid-body rotation as
pointed out by Thornley (1968). It is also shown that, unlike
the case of single-disk configuration, no unique solution exists
in a double-disk configuration, a result which is the reverse to that of solid-body rotation. Finally, the results are presented graphically to determine the quantitative response of the particle on the flow. |
| format | Article |
| id | doaj-art-01c9adb6a44b4a519bfab68caaf1645f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01c9adb6a44b4a519bfab68caaf1645f2025-02-03T01:24:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003533345335310.1155/S0161171203301498On unsteady two-phase fluid flow due to eccentric rotation of a diskA. K. Ghosh0S. Paul1L. Debnath2Department of Mathematics, Jadavpur University, Calcutta 700 032, IndiaDepartment of Mathematics, Jadavpur University, Calcutta 700 032, IndiaDepartment of Mathematics, University of Texas-Pan American, Edinburg, TX 78539, USAWe examine the unsteady flow of a two-phase fluid generated by the nontorsional oscillations of a disk when the disk and the fluid at infinity rotate noncoaxially with the same angular velocity. The solutions are obtained for both the fluid and the particle velocities in closed form. It is found that the solutions remain valid for all values of the frequency of oscillations of the disk including the resonant frequency, which is equal to the angular velocity of rotation. But, in absence of particles, only in the case of resonance no oscillatory solution is possible, which is similar to that of solid-body rotation as pointed out by Thornley (1968). It is also shown that, unlike the case of single-disk configuration, no unique solution exists in a double-disk configuration, a result which is the reverse to that of solid-body rotation. Finally, the results are presented graphically to determine the quantitative response of the particle on the flow.http://dx.doi.org/10.1155/S0161171203301498 |
| spellingShingle | A. K. Ghosh S. Paul L. Debnath On unsteady two-phase fluid flow due to eccentric rotation of a disk International Journal of Mathematics and Mathematical Sciences |
| title | On unsteady two-phase fluid flow due to eccentric rotation of a disk |
| title_full | On unsteady two-phase fluid flow due to eccentric rotation of a disk |
| title_fullStr | On unsteady two-phase fluid flow due to eccentric rotation of a disk |
| title_full_unstemmed | On unsteady two-phase fluid flow due to eccentric rotation of a disk |
| title_short | On unsteady two-phase fluid flow due to eccentric rotation of a disk |
| title_sort | on unsteady two phase fluid flow due to eccentric rotation of a disk |
| url | http://dx.doi.org/10.1155/S0161171203301498 |
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