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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |