Research Papers: Fundamental Issues and Canonical Flows

Natural Surface Oscillations of Rotating Fluid Along Radial Baffles of Rotor

[+] Author and Article Information
A. Nikiforov

Institute of Machines Science
named after A.A. Blagonravov
of the Russian Academy of Sciences,
4, Maly Kharitonjesky Lane,
Moscow 101990, Russia
e-mail: n.andre@mail.ru

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 17, 2015; final manuscript received November 8, 2015; published online February 17, 2016. Assoc. Editor: Kwang-Yong Kim.

J. Fluids Eng 138(6), 061202 (Feb 17, 2016) (4 pages) Paper No: FE-15-1409; doi: 10.1115/1.4032300 History: Received June 17, 2015; Revised November 08, 2015

This paper determines natural and resonant frequencies of radial–circular oscillations (waves) on the nonviscous, incompressible fluid partially and evenly filling similar compartments in a rotor that has the cylindrical chamber, solid radial baffles, and constant angular velocity. It is assumed as follows: influence of the gravity and surface tension is negligibly small as compared to the centrifugal effect; configuration of dynamic equilibrium (unperturbed motion) of fluid is an annular rigid body rotation; and the fluid motion perturbed by small lateral deflections of the rotor does not depend on the axial coordinate (plane motion).

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Grahic Jump Location
Fig. 2

Cyclic frequencies of the basic radial–circular surface waves (single-node) without baffles (Ω1) and with three (Ω3) and six (Ω6) baffles at various filling and velocities of rotation

Grahic Jump Location
Fig. 4

Results of experiments and theory

Grahic Jump Location
Fig. 1

Rotor chamber without and with solid baffles partially filled with fluid in case of self-excitation of the radial–circular wave of first-order (κ = 1)




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