Motion control of a rotor with a cavity with a viscous fluid

Gurchenkov, A. A.; Esenkov, A. S.; Цурков, В. И.

doi:10.1134/s0005117907020087

Cited by 1 publication

(3 citation statements)

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“…All the above mentioned studies, as well as Refs. [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50], date back to the second half of the 20th century and were motivated by the rapid development of rocket and space technology and increased interest in the problems of geophysics, oceanology, atmospheric physics, as well as problems in the study and protection of the environment. These studies are included here to show what approaches and methods can be used to obtain precise analytical solutions to problems in the dynamics of rotating fluids.…”

Section: Historical Overviewmentioning

confidence: 99%

“…The influence of liquid viscosity turns out to be quite tricky; it can lead to both stabilization of the motion of a solid body and its loss of stability. A series of studies [37][38][39][40][41][42][43][44] was devoted to the study of the behavior of a viscous fluid in cavities of arbitrary shapes for rotating solids.…”

Section: Dynamics Of Rotating Viscous Incompressible and Stratified N...mentioning

confidence: 99%

“…In Ref. [40], a formulation and methodology for solving optimal control problems for the perturbed relative uniform rotation of a body with a cavity containing a viscous incompressible fluid was proposed. Considerations were carried out for the case of a cylinder, but in principle, the approach is valid for a cavity of an arbitrary shape.…”

Section: Dynamics Of Rotating Viscous Incompressible and Stratified N...mentioning

confidence: 99%

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Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Gurchenkov,

Matveev

2024

Physics

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Since the middle of the 20th century, an understanding of the diversity of the natural magnetohydrodynamic phenomena surrounding us has begun to emerge. Magnetohydrodynamic nature manifests itself in such seemingly heterogeneous processes as the flow of water in the world’s oceans, the movements of Earth’s liquid core, the dynamics of the solar magnetosphere and galactic electromagnetic fields. Their close relationship and multifaceted influence on human life are becoming more and more clearly revealed. The study of these phenomena requires the development of theory both fundamental and analytical, unifying a wide range of phenomena, and specialized areas that describe specific processes. The theory of translational fluid motion is well developed, but for most natural phenomena, this condition leads to a rather limited model. The fluid motion in the cavity of a rotating body such that the Coriolis forces are significant has been studied much less. A distinctive feature of the problems under consideration is their significant nonlinearity, (i.e., the absence of a linear approximation that allows one to obtain nontrivial useful results). From this point of view, the studies presented here were selected. This review presents studies on the movements of ideal and viscous fluids without taking into account electromagnetic phenomena (non-conducting, non-magnetic fluid) and while taking them into account (conducting fluid). Much attention is payed to the macroscopic movements of sea water (conducting liquid) located in Earth’s magnetic field, which spawns electric currents and, as a result, an induced magnetic field. Exploring the processes of generating magnetic fields in the moving turbulent flows of conducting fluid in the frame of dynamic systems with distributed parameters allows better understanding of the origin of cosmic magnetic fields (those of planets, stars, and galaxies). Various approaches are presented for rotational and librational movements. In particular, an analytical solution of three-dimensional unsteady magnetohydrodynamic equations for problems in a plane-parallel configuration is presented.

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Section: Historical Overviewmentioning

confidence: 99%

Section: Dynamics Of Rotating Viscous Incompressible and Stratified N...mentioning

confidence: 99%

Section: Dynamics Of Rotating Viscous Incompressible and Stratified N...mentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Gurchenkov,

Matveev

2024

Physics

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Motion control of a rotor with a cavity with a viscous fluid

Cited by 1 publication

References 2 publications

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

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