Non-torsional oscillations of a disc in rotating second order fluid

P. D. Verma, N. C. Sacheti

Research output: Contribution to journalArticle

Abstract

This paper deals with the non-torsional oscillations of a disc in rotating second-order fluid. The disc and the fluid are initially in a state of rigid rotation and the non-torsional oscillations in its own plane are then imposed on the disc. The depth of penetration of the oscillations is increased due to the presence of the coefficient of visco-elasticity. It tends to infinity when the frequency of the oscillations is twice the angular velocity of rotation, meaning thereby that no equilibrium boundary layer exist. An initial value problem for two cases-(i) one disc bounding a semi-infinite mass of the fluid, (ii) two discs containing the fluid in between them is discussed. The classical Rayleigh layer for second-order fluid is derived as a particualr case and it is also found that steady Ekman layer is reached for large time.

Original languageEnglish
Pages (from-to)87-104
Number of pages18
JournalProceedings of the Indian Academy of Sciences - Section A
Volume76
Issue number2
DOIs
Publication statusPublished - Aug 1972

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Fluids
Initial value problems
Viscoelasticity
Angular velocity
Boundary layers

ASJC Scopus subject areas

  • Chemistry(all)

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Non-torsional oscillations of a disc in rotating second order fluid. / Verma, P. D.; Sacheti, N. C.

In: Proceedings of the Indian Academy of Sciences - Section A, Vol. 76, No. 2, 08.1972, p. 87-104.

Research output: Contribution to journalArticle

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