Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface

2005 ◽  
Vol 17 (7) ◽  
pp. 073102 ◽  
Author(s):  
Christopher P. Green ◽  
John E. Sader
Keyword(s):  
Viscous Fluid ◽  
Solid Surface ◽  
Small Amplitude ◽  
Thin Beam

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.

SLIDING FRICTION IN VISCOUS HYDRODYNAMICS: THE ROUGH SURFACE AS VORTICITY SOURCE

1989 ◽  
Vol 03 (05) ◽  
pp. 393-397
Author(s):  
H. DEKKER
Keyword(s):  
Friction Coefficient ◽  
Viscous Fluid ◽  
Rough Surface ◽  
Solid Surface ◽  
Sliding Friction ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Vorticity Source ◽  
Viscous Hydrodynamics

Basset’s collective friction coefficient for a viscous fluid flowing past a rough solid surface is obtained — analytically — as an intrinsic consequence of the Navier-Stokes equations by treating the surface as a source of vorticity.

Lateral Vibrations of a Rotating Shaft in a Viscous Fluid

1969 ◽  
Vol 36 (4) ◽  
pp. 682-686 ◽  
Author(s):  
Chang-Yi Wang
Keyword(s):  
Viscous Fluid ◽  
Small Amplitude ◽  
Normal Force ◽  
Rotating Shaft ◽  
Steady Streaming ◽  
Fast Rotation ◽  
Lateral Vibrations ◽  
Cylindrical Shaft

A rigid rotating cylindrical shaft is vibrating along a diameter in a viscous fluid. Two different cases are investigated through the method of inner and outer expansions. The case of small amplitude vibrations is characterized by the diffusion of vorticity. The coupling of rotation with vibration introduces a normal force, of both inviscid and viscous origins, perpendicular to the direction of oscillation. As rotation increases, the induced steady streaming becomes more skewed and weaker. The case of fast rotation is characterized by the transport of vorticity. Rotation affects both the drag and normal force. The steady torque is increased due to the induction of a steady secondary rotary flow.

Finite amplitude vibrations of a sharp-edged beam immersed in a viscous fluid near a solid surface

2012 ◽  
Vol 112 (10) ◽  
pp. 104907 ◽  
Author(s):  
Emma Grimaldi ◽  
Maurizio Porfiri ◽  
Leonardo Soria
Keyword(s):  
Viscous Fluid ◽  
Solid Surface ◽  
Finite Amplitude
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