Response of a spinning liquid column to pitch excitation |
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Authors: | Prof Dr H F Bauer |
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Affiliation: | (1) Present address: Institut für Raumfahrttechnik, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, D-8014 Neubiberg, Federal Republic of Germany |
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Abstract: | Summary The response of a solidly rotating liquid bridge consisting of inviscid liquid is determined for pitch excitation about its undisturbed center of mass. Free liquid surface displacement and velocity distribution has been determined in the elliptic ( >2 0) and hyperbolic ( <2 0) excitation frequency range.List of symbols
a
radius of liquid column
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h
length of column
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I
1
modified Besselfunction of first kind and first order
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J
1
Besselfunction of first kind and first order
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r, ,z
cylindrical coordinates
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t
time
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u, v, w
velocity distribution in radial-, circumferential-and axial direction resp.
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mass density of liquid
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free surface displacement
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velocity potential
- 0
rotational excitation angle
- 0
velocity of spin
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forcing frequency
- 1n
natural frequency
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surface tension
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acceleration potential
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for elliptic range >2 0
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for hyperbolic range >2 0 |
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Keywords: | |
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