On the Flow of a Viscous Fluid past an Inclined Elliptic Cylinder at Small Reynolds Numbers

1953 ◽  
Vol 8 (5) ◽  
pp. 653-661 ◽  
Author(s):  
Hidenori Hasimoto
Keyword(s):  
Viscous Fluid ◽  
Elliptic Cylinder ◽  
Reynolds Numbers ◽  
Small Reynolds Numbers

Drag of a sphere in an unsteady flow of viscous fluid at small reynolds numbers

1988 ◽  
Vol 23 (1) ◽  
pp. 6-10 ◽  
Author(s):  
M. N. Gaidukov ◽  
V. G. Roman ◽  
Yu. I. Yalamov
Keyword(s):  
Viscous Fluid ◽  
Unsteady Flow ◽  
Reynolds Numbers ◽  
Small Reynolds Numbers

scholarly journals The steady flow of viscous fluid past a fixed spherical obstacle at small reynolds numbers

1929 ◽  
Vol 123 (791) ◽  
pp. 225-235 ◽  
Keyword(s):  
Viscous Fluid ◽  
Steady Flow ◽  
Kinematic Viscosity ◽  
Equations Of Motion ◽  
Reynolds Numbers ◽  
Great Distance ◽  
Small Reynolds Numbers

It was proposed by Oseen that, in considering the steady flow of a viscous fluid past a fixed obstacle, the velocity of disturbance should be considered small, and terms depending on its square neglected. This approximation is to be taken to hold not only at a great distance from the obstacle, but also right up to its surface; and involves the assumption that U d/v is small, where d is some representative length of the obstacle, which in the case of a sphere is taken to be its diameter, U is the undisturbed velocity of the stream, and v the kinematic viscosity of the fluid. With this approximation, the equations of motion become linear, and can be solved; the condition of no slip at the boundary is then applied to complete the solution. We take the obstacle to be a sphere of radius and take the origin of coordinates at its centre.

The slow motion of a sphere in a rotating, viscous fluid

1964 ◽  
Vol 20 (2) ◽  
pp. 305-314 ◽  
Author(s):  
Stephen Childress
Keyword(s):  
Reynolds Number ◽  
Angular Velocity ◽  
Viscous Fluid ◽  
Classical Problem ◽  
Slow Motion ◽  
Reynolds Numbers ◽  
Constant Angular Velocity ◽  
Axis Of Rotation ◽  
Small Reynolds Numbers ◽  
Analytical Result

The uniform, slow motion of a sphere in a viscous fluid is examined in the case where the undisturbed fluid rotates with constant angular velocity Ω and the axis of rotation is taken to coincide with the line of motion. The various modifications of the classical problem for small Reynolds numbers are discussed. The main analytical result is a correction to Stokes's drag formula, valid for small values of the Reynolds number and Taylor number and tending to the classical Oseen correction as the last parameter tends to zero. The rotation of a free sphere relative to the fluid at infinity is also deduced.

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