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Unsteady flow due to a disk executing non-torsional oscillation and a Newtonian fluid at infinity rotating about non-coaxial axes

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Abstract

This paper is concerned with the unsteady flow of a disk performing non-torsional oscillation in its own plane and a Newtonian fluid at infinity while they are initially rotating with the same angular velocity about non-coaxial axes. For a more general study, it is considered that the disk executes non-torsional oscillation along any desired direction in its own plane. An exact solution obtained for the velocity field is compared with a periodic solution presented in order to find the time when the periodic flow starts. A very good agreement is found between the two solutions in the periodic state. It is an interesting result that the x- and y-components of the force per unit area exerted by the fluid on the disk vary in almost opposite direction when the non-torsional oscillation takes place along the eccentricity direction. Further, the change in the y-component of the translational velocity becomes noticeable in this case.

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Acknowledgements

The author would like to express his sincere thanks to the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Yildiz Technical University, 34349, Istanbul, Turkey

    H Volkan Ersoy

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  1. H Volkan Ersoy
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Correspondence to H Volkan Ersoy.

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Ersoy, H.V. Unsteady flow due to a disk executing non-torsional oscillation and a Newtonian fluid at infinity rotating about non-coaxial axes. Sādhanā 42, 307–315 (2017). https://doi.org/10.1007/s12046-017-0600-5

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  • DOI: https://doi.org/10.1007/s12046-017-0600-5

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