scholarly journals Evolution of Small Perturbations of the Free Surface of Viscous Fluid in the Stokes Approximation

10.5772/59226 ◽  
2015 ◽  
Author(s):  
Tamara Pogosian ◽  
Ivan Melikhov ◽  
Anastasia Shutova ◽  
Alexey Amosov ◽  
Sergey Chivilikhin
Keyword(s):  
Free Surface ◽  
Viscous Fluid ◽  
Small Perturbations ◽  
Stokes Approximation

Experimental Study of Ship Response due to Internal Viscous Cargo Motions

2018 ◽  
Author(s):  
Virginie Baudry ◽  
Jean-Marc Rousset
Keyword(s):  
Experimental Study ◽  
Free Surface ◽  
Viscous Fluid ◽  
Fresh Water ◽  
Iron Ore ◽  
Experimental Approach ◽  
Viscous Fluids ◽  
Maritime Industry ◽  
Bulk Carrier ◽  
Ship Model

Potential liquefaction of some cargoes (Nickel ore, iron ore, ...) is a major risk for the maritime industry. The difficulties to simulate accurately the behaviour of these materials as well as their interaction with a bulk carrier model leaded us to use a non-Newtonian highly viscous fluid to model a liquefied ore. An experimental approach is presented in this paper. Roll responses of a ship model as well as details on the internal free surface behaviours are investigated for different loading conditions: solid cargo, fresh water and viscous fluids.

Inertial effects on clusters of spheres falling in a viscous fluid

1964 ◽  
Vol 20 (3) ◽  
pp. 401-410 ◽  
Author(s):  
F. P. Bretherton
Keyword(s):  
Viscous Fluid ◽  
Viscous Liquid ◽  
Inertial Effects ◽  
Small Perturbations ◽  
Clusters Of Spheres ◽  
Compact Cluster

A compact cluster of 3 to 6 rigid equal spheres is falling under gravity in a viscous liquid. The small effects of intertia on a horizontal regular polygonal configuration are that the polygon expands as it falls and small perturbations from this configuration die out, although when the polygon is large enough it becomes weakly unstable. This is an extension of the analysis of Hocking (1964, which was applied to the experiments of Jayaweera, Mason & Slack (1964).

Centrifugal waves

1960 ◽  
Vol 7 (3) ◽  
pp. 340-352 ◽  
Author(s):  
O. M. Phillips
Keyword(s):  
Free Surface ◽  
Angular Velocity ◽  
Circular Cylinder ◽  
Rigid Body ◽  
Water Depth ◽  
Frequency Equation ◽  
Rigid Rotation ◽  
Body Motion ◽  
Small Perturbations ◽  
The Stability

When a hollow circular cylinder with its axis horizontal is partially filled with water and rotated rapidly about its axis, an almost rigid-body motion results with an interior free surface. The emotion is analysed assuming small perturbations to a rigid rotation, and a criterion is found for the stability of the motion. This is confirmed experimentally under varying conditions of water depth and angular velocity of the cylinder. The modes of oscillation (centrifugal waves) of the free surface are examined and a frequency equation deduced. Two particular modes are considered in detail, and satisfactory agreement is found with the frequencies observed.

Sign in / Sign up

Export Citation Format

Share Document