The virtual mass coefficients of a circular cylinder moving in an ideal fluid between parallel walls

2012 ◽  
Vol 76 (1) ◽  
pp. 98-102
Author(s):  
A.A. Kharlamov
Keyword(s):  
Circular Cylinder ◽  
Ideal Fluid ◽  
Virtual Mass

Measurement of the Virtual Mass of a Circular Cylinder Placed in a Resonance Tube at a Distance from Its Center

1983 ◽  
Vol 22 (Part 1, No. 6) ◽  
pp. 1072-1072
Author(s):  
Kiichiro Matsuzawa ◽  
Naoki Inoue ◽  
Takahi Hasegawa
Keyword(s):  
Circular Cylinder ◽  
Virtual Mass ◽  
Resonance Tube

The long-wave behaviour of the virtual mass in water of finite depth

1980 ◽  
Vol 372 (1748) ◽  
pp. 65-91 ◽  
Keyword(s):  
Circular Cylinder ◽  
Finite Depth ◽  
Virtual Mass ◽  
Constant Depth ◽  
Long Wave ◽  
Wave Region ◽  
Zero Frequency ◽  
Finite Constant

A half-immersed circular cylinder of radius a undergoes a periodic heaving motion on water of finite constant depth h . The behaviour of the virtual mass is considered in the long-wave region where existing computations are in disagreement. For finite depth Ursell has recently confirmed analytically that the virtual mass remains finite (and is thus a function of a/h ) in the limit Ka = Kh = 0, a/h fixed. His long-wave investigation is now extended by a study of the gradient /d( virtual mass)/d(Aa) for small Ka . It is shown that this gradient is positive in the limit of zero frequency when a/h is sufficiently small, and that in this case the virtual mass has a maximum near Kh = 1. An argument is also given which suggests that this maximum may be expected for bodies of more general sections.

scholarly journals The motion of a stream of finite depth past a body

1915 ◽  
Vol 92 (636) ◽  
pp. 107-121
Keyword(s):  
Circular Cylinder ◽  
Ideal Fluid ◽  
Finite Depth ◽  
Resultant Force ◽  
The Other ◽  
Potential Motion ◽  
The One ◽  
External Forces

When a circular cylinder moves uniformly in an ideal fluid (i.e. frictionless and incompressible) at rest at infinity, the resultant force acting on it is zero, it no external forces act. This is however, only true when the motion is the usual potential motion. Supposing that in addition to the potential stream produced by the motion of the cylinder a circulation around it be considered, the velocity of the fluid is incresased on the one side, an decreased on the other, and this produces a force acting on the cylinder perpendicular to the direction of motion.

The scattering of surface waves by two submerged cylinders

1971 ◽  
Vol 69 (1) ◽  
pp. 201-215 ◽  
Author(s):  
Jon T. Schnute
Keyword(s):  
Circular Cylinder ◽  
Surface Waves ◽  
Ideal Fluid ◽  
Periodic Surface ◽  
Reflective Property ◽  
Historical Basis ◽  
Submerged Objects ◽  
Time Periodic

1. Introduction. The historical basis for the work in this paper lies in a remarkable fact discovered by Dean in 1948. He found that time-periodic surface waves in an ideal fluid experience no reflexion when they encounter normally a fixed, submerged, right-circular cylinder. We might reasonably ask if a similar non-reflective property carries over to different geometrical configurations of submerged objects, for example, two or more cylinders. This question motivates the investigation which follows.

Effects of Viscosity and Side Walls on the Virtual Mass of a Circular Cylinder Measured with a Resonance Tube

1982 ◽  
Vol 21 (Part 1, No. 10) ◽  
pp. 1526-1526
Author(s):  
Kiichiro Matsuzawa ◽  
Takahi Hasegawa ◽  
Naoki Inoue
Keyword(s):  
Circular Cylinder ◽  
Virtual Mass ◽  
Resonance Tube ◽  
Side Walls

Note on the long-wave limit of the virtual-mass coefficient for a half-immersed circular cylinder heaving on water of finite depth

1976 ◽  
Vol 76 (1) ◽  
pp. 29-34 ◽  
Author(s):  
P. F. Rhodes-Robinson
Keyword(s):  
Circular Cylinder ◽  
Preliminary Analysis ◽  
Preceding Paper ◽  
Finite Depth ◽  
Virtual Mass ◽  
Long Wave ◽  
Mass Coefficient ◽  
Wave Limit

This note provides numerical values for the long-wave limit of the virtual-mass coefficient relating to the heaving motion of a half-immersed circular cylinder on water of finite depth, found analytically by Ursell in the preceding paper; some preliminary analysis is needed, however.

On the virtual-mass and damping coefficients for long waves in water of finite depth

1976 ◽  
Vol 76 (1) ◽  
pp. 17-28 ◽  
Author(s):  
F. Ursell
Keyword(s):  
Circular Cylinder ◽  
Amplitude Ratio ◽  
Finite Depth ◽  
Long Waves ◽  
Finite Limit ◽  
Virtual Mass ◽  
Constant Depth ◽  
Infinite Depth ◽  
Damping Coefficients ◽  
Mass Coefficient

A half-immersed circular cylinder is making vertical oscillations on water of finite constant depth. The virtual-mass and damping coefficients are studied in the limit as the wavelength tends to infinity. It is found that the virtual-mass coefficient tends to a finite limit and that the amplitude ratio ultimately varies as the frequency. This behaviour differs from the behaviour for infinite depth, where the virtual-mass coefficient tends to infinity and the amplitude ratio ultimately varies as (frequency).

scholarly journals Control of the motion of a circular cylinder in an ideal fluid using a source

2020 ◽  
Vol 30 (4) ◽  
pp. 604-617
Author(s):  
E.M. Artemova ◽  
E.V. Vetchanin
Keyword(s):  
Fixed Point ◽  
Circular Cylinder ◽  
Level Set ◽  
Ideal Fluid ◽  
Equations Of Motion ◽  
Energy Integral ◽  
Integral Conditions ◽  
Unstable Fixed Point ◽  
Constant Strength ◽  
Momentum Integral

The motion of a circular cylinder in an ideal fluid in the field of a fixed source is considered. It is shown that, when the source has constant strength, the system possesses a momentum integral and an energy integral. Conditions are found under which the equations of motion reduced to the level set of the momentum integral admit an unstable fixed point. This fixed point corresponds to circular motion of the cylinder about the source. A feedback is constructed which ensures stabilization of the above-mentioned fixed point by changing the strength of the source.

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