Construction of the velocity potential of a fluid in an infinite cylindrical container, containing a vibrating rigid spherical body

1993 ◽  
Vol 29 (1) ◽  
pp. 16-22 ◽  
Author(s):  
V. D. Kubenko ◽  
V. V. Gavrilenko ◽  
L. A. Kruk
Keyword(s):  
Velocity Potential ◽  
Spherical Body ◽  
Cylindrical Container ◽  
Rigid Spherical Body

Sloshing in a Vertical Circular Cylindrical Container With a Vertical Baffle

2010 ◽  
Author(s):  
E. Askari ◽  
F. Daneshmand ◽  
M. Amabili
Keyword(s):  
Finite Element Analysis ◽  
Linear Problem ◽  
Natural Frequencies ◽  
Velocity Potential ◽  
Cylindrical Container ◽  
Element Analysis ◽  
Matched Eigenfunction Expansions ◽  
Vertical Baffle ◽  
Thin Walled ◽  
Oriented Approach

The linear problem of liquid sloshing in a cylindrical container with a vertical baffle is considered in the present paper. In this study, a theoretical oriented approach is developed for calculating the natural frequencies of liquid. The baffle is a thin-walled and open-ended cylindrical shell that is concentrically placed and partially submerged inside the container. The free surface of liquid is assumed to be perpendicular to axis of the container and is divided into two parts by the baffle. The method also captures the singular asymptotic behavior of the velocity potential at the sharp baffle edge. The liquid is assumed to be incompressible and inviscid and the method uses matched eigenfunction expansions and Galerkin expansions to derive unknown coefficients presented in the velocity potential series. A finite element analysis is also used to check the validity of the proposed method. The effects of some important parameters of system are also considered on the sloshing frequencies.

scholarly journals Modeling and numerical research of the self-excitation phenomenon of the drill bit whirlings vibrations

2019 ◽  
pp. 28-33
Author(s):  
O. V. Vashchilina ◽  
I. V. Lebedyeva ◽  
O. I. Bilobrytska
Keyword(s):  
Spherical Body ◽  
Drill String ◽  
Bottom Surface ◽  
Drill Bit ◽  
Periodic Motions ◽  
Initial Stage ◽  
Kinematic Models ◽  
Numerical Research ◽  
System Properties ◽  
Rigid Spherical Body

In the paper an initial stage of a rotating drill string bit whirl motion proceeding on a well bottom surface is studied on the basis of nonholonomic kinematic models of mechanic interaction between the contacting uneven bodies. It is assumed that the drill bit is an absolutely rigid spherical body, the well bottom surface is spherical too. It is supposed that the system coaxiality is disturbed through small initial curvature of the drill string, defects of the bit and bore-well geometry or the debalance of the system mass. Linearized equations of the drill bit movement are derived, the frequencies of periodic motions are calculated, and their types are constructed for different geometric parameters of the spherical bits. It is shown that, depending on the system properties, the drill bit motion can to transit to the state of stationary spinning relative to an immovable center of velocities or acquire the regimes of forward and backward whirlings.

Experimental Measurements of Velocity, Potential, and Temperature Distributions in Liquid Aluminum During Electromagnetic Stirring

2003 ◽  
Vol 70 (3) ◽  
pp. 351-358 ◽  
Author(s):  
S. I. Bakhtiyarov ◽  
R. A. Overfelt ◽  
A. J. Meir ◽  
P. G. Schmidt
Keyword(s):  
Experimental Technique ◽  
Molten Aluminum ◽  
Velocity Potential ◽  
Liquid Aluminum ◽  
Electromagnetic Stirring ◽  
Temperature Profiles ◽  
Cylindrical Container ◽  
Temperature Distributions ◽  
Angular Velocities ◽  
Probe Velocity

An experimental technique has been developed to measure both axial and transverse velocities and temperature distribution in molten aluminum. Couette flow of liquid aluminum, lead, tin, and low melting alloy in cylindrical container was chosen for calibration of the experimental technique and the magnetic probe. Velocity and temperature profiles for liquid aluminum rotating in cylindrical container at different angular velocities are obtained for two different values of the depth. We determined that the velocity values increase with magnetic induction.

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