Response of differently axially excited spinning liquid columns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 differently axially excited spinning liquid columns

Authors:	H F Bauer

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

Abstract:	Summary A solidly rotating finite liquid column consisting of frictionless liquid is subjected to various axial excitation modes. The response of the free liquid surface displacement and velocity distribution has been determined in the elliptic (>2₀) and hyperbolic range (<2₀). Differences of the various cases are presented.List of symbols 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 - $\bar z_0 ,\bar z_1 ,\bar z_2$ axial excitation amplitude - $\alpha ^2 = 1 - \frac{{4\Omega _0^2 }}{{\Omega ^2 }} > 0$ elliptic case (>2₀) - $\beta ^2 = \frac{{4\Omega _0^2 }}{{\Omega ^2 }} - 1 > 0$ hyperbolic case (<2₀) - liquid density - surface tension - liquid surface displacement - _n damping factor - $\bar \varphi$ phase angle - acceleration potential - ₀ rotational speed - , ₁,₂ axial forcing frequency - natural frequency of rotating system - _0n natural frequency of harmonic axial response

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