Comment on: On a sphere performing linear and torsional oscillations in a viscous fluid

1990 ◽  
Vol 68 (2) ◽  
pp. 258-258
Author(s):  
R. F. Folse ◽  
J. C. Nieuwoudt
Keyword(s):  
Viscous Fluid ◽  
Torsional Oscillations

On a sphere performing linear and torsional oscillations in a viscous fluid

1988 ◽  
Vol 66 (7) ◽  
pp. 576-579
Author(s):  
G. T. Karahalios ◽  
C. Sfetsos
Keyword(s):  
Boundary Layer ◽  
Viscous Fluid ◽  
Secondary Flow ◽  
Small Amplitude ◽  
Equations Of Motion ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Time Varying ◽  
Torsional Oscillations

A sphere executes small-amplitude linear and torsional oscillations in a fluid at rest. The equations of motion of the fluid are solved by the method of successive approximations. Outside the boundary layer, a steady secondary flow is induced in addition to the time-varying motion.

On the Torsional Oscillations of a Solid Sphere in a Viscous Fluid

1956 ◽  
Vol 23 (4) ◽  
pp. 601-605
Author(s):  
G. F. Carrier ◽  
R. C. Di Prima
Keyword(s):  
Velocity Field ◽  
Viscous Fluid ◽  
Angular Displacement ◽  
Solid Sphere ◽  
Circumferential Velocity ◽  
Torsional Oscillations ◽  
Viscosity Measurements ◽  
First Approximation ◽  
Viscous Torque ◽  
Solid Bodies

Abstract Most treatments of the torsional oscillations of solid bodies assume that the velocity field is circumferential. In this paper the motion in planes containing the axis of oscillation is also considered. An expansion in terms of the angular displacement ϵ (assumed small) is made. The first approximation to the circumferential velocity is computed, and then used in computing the first approximation to the pumping motion. This is used to compute the correction to the circumferential velocity and, in particular, the correction to the viscous torque. For the range of parameters considered it is found that the correction to the torque is of the order of 0.04ϵ2|N0|, where N0 is the classical viscous torque. This problem is of interest in practical viscosity measurements.

The flow induced by torsional oscillations of infinite planes

1969 ◽  
Vol 37 (2) ◽  
pp. 337-347 ◽  
Author(s):  
A. F. Jones ◽  
S. Rosenblat
Keyword(s):  
Viscous Fluid ◽  
Boundary Layers ◽  
High Frequency ◽  
Small Amplitude ◽  
Second Order ◽  
Torsional Oscillations ◽  
Common Axis ◽  
High Frequency Oscillations

A viscous fluid is confined between two parallel, infinite planes which perform torsional oscillations of small amplitude about a common axis. The resulting flow is studied for the case of high-frequency oscillations, when boundary layers form adjacent to moving surfaces. Particular analysis is made of the second-order, steady, radial-axial streaming. It is shown that in certain circumstances viscosity may be effective throughout the domain of flow, while in others there is a region in which viscosity is negligible.

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