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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ERSOY H. V.

SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, vol.42, no.3, pp.307-315, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1007/s12046-017-0600-5
  • Journal Name: SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.307-315
  • Keywords: Newtonian fluid, oscillating disk, non-coaxial rotation, exact solution, periodic flow, POROUS DISK, MAGNETOHYDRODYNAMIC FLOW
  • Yıldız Technical University Affiliated: Yes

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.