Highly Nonlinear Liquid Surface Waves in the Dynamics of the Fluid Balancer

This paper is concerned with the dynamics of a cylindrical vessel containing a small amount of liquid which, during rotation, is spun out to form a thin liquid layer on the outermost inner surface of the vessel. The liquid is able to counteract unbalanced mass in an elastically mounted rotor. Hence...

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Bibliographic Details
Published inProcedia IUTAM Vol. 19; pp. 110 - 117
Main Authors Langthjem, Mikael A., Nakamura, Tomomichi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2016
Subjects
autobalancer
boundary layer problem
forced Korteveg-de Vries-Burgers equation
rotor
shallow water wave
rotor
shallow water wave
forced Korteveg-de Vries-Burgers equation
autobalancer
boundary layer problem
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Summary:This paper is concerned with the dynamics of a cylindrical vessel containing a small amount of liquid which, during rotation, is spun out to form a thin liquid layer on the outermost inner surface of the vessel. The liquid is able to counteract unbalanced mass in an elastically mounted rotor. Hence the name ‘fluid balancer’. The paper discusses the equations of motion for the coupled fluid-structure system, their solution in terms of a perturbation method, and how they can explain the working principle of the fluid balancer.
ISSN:2210-9838
2210-9838
DOI:10.1016/j.piutam.2016.03.015