Response of a spinning liquid column to axial excitation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Response of a spinning liquid column to axial excitation

Authors:	Prof H F Bauer

Affiliation:	(1) Institut für Raumfahrttechnik, Universität der Bundeswehr, Werner-Heisenberg-Weg 39, D-8014 Neubiberg, Germany

Abstract:	Summary The response of a solidly rotating finite liquid column consisting of frictionless liquid is subjected to axial harmonic excitation. The response of the free liquid surface elevation and velocity distribution has been determined in the elliptic (>2 ₀) and hyperbolic frequency range (>2 ₀).Notation a radius of liquid bridge - h length of liquid bridge - I ₀,I ₁ modified Besselfunctions - J ₀,J ₁ Besselfunctions - P liquid pressure - r, ,z cylindrical polar coordinates - t time - u, v, w velocity distribution in rotating liquid - $\bar z_0$ axial excitation amplitude - $\alpha ^2 = 1 - \frac{{4\Omega ^2 }}{{\Omega ^2 }} > 0$ elliptic case (>2 ₀) - $\beta ^2 = \frac{{4\Omega _0^2 }}{{\Omega ^2 }} - 1 > 0$ hyperbolic case (>2 ₀) - liquid density - surface tension - liquid surface displacement - acceleration potential - ₀ rotational speed - axial forcing frequency - natural frequency of rotating system - _02n–1 natural frequency of harmonic axial response With 8 Figures

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