The Virtual Mass of a Sphere Moving Toward a Plane Wall

1977 ◽  
Vol 44 (1) ◽  
pp. 166-167 ◽  
Author(s):  
D. J. Jeffrey ◽  
H.-S. Chen

The axisymmetric potential flow past a sphere almost touching a plane wall is solved in closed form and the solution used to show that the Virtual mass of the sphere is finite This result clears up a difficulty uncovered in calculations by Small and Weihs.

2004 ◽  
Vol 18 (2-4) ◽  
pp. 265-276 ◽  
Author(s):  
Sungsu Lee ◽  
Kyung-Soo Yang

1950 ◽  
Vol 17 (2) ◽  
pp. 154-158
Author(s):  
Phillip Eisenberg

Abstract Using the method of successive images, an approximate solution for the velocity potential is obtained in closed form for incompressible flow about an ovary ellipsoid near a plane wall. The velocity distribution is computed from this solution in two ways. The first computation properly predicts differences in velocities on opposite half-meridians of the ellipsoid. A second method results in a symmetric velocity distribution but is useful for rapid estimates of the average wall effect. Pressure distributions calculated by this theory are compared with values measured on 4:1 and 6:1 ellipsoid models.


2019 ◽  
Vol 31 (11) ◽  
pp. 113105
Author(s):  
Kostas D. Housiadas ◽  
Antony N. Beris

Author(s):  
John Newman ◽  
Vincent Battaglia

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