Unsteady flow due to a sudden pull of eccentric rotating disks

An exact solution of the unsteady Navier–Stokes equations is obtained for the flow due to a sudden pull with constant velocities of eccentric rotating disks with the same angular velocity. Two different methods are used for large and small times. It is shown that it is convenient to use a Fourier se...

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Bibliographic Details
Published in:International journal of engineering science 2001-02, Vol.39 (3), p.343-354
Main Author: Volkan Ersoy, H.
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Eccentric rotating disks
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Physics
Unsteady flow
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Summary:An exact solution of the unsteady Navier–Stokes equations is obtained for the flow due to a sudden pull with constant velocities of eccentric rotating disks with the same angular velocity. Two different methods are used for large and small times. It is shown that it is convenient to use a Fourier series at large times and an appropriate series expansion after using the Laplace transform technique at small times. It is observed how the velocity field depends on the direction of the constant velocities with which the disks are pulled.
ISSN:0020-7225
1879-2197
DOI:10.1016/S0020-7225(00)00040-9