Natural frequencies and response of spinning liquid column with apparently sliding contact line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

Natural frequencies and response of spinning liquid column with apparently sliding contact line

Authors:	Prof H F Bauer

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

Abstract:	Summary The contact line of a liquid with a solid does in many cases—depending on the smoothness of the solid, the viscosity, the surface tension and the excitation force—apparently flow along the solid during oscillations. The influence of this effect upon the natural frequencies, the stability and the response of the system has been investigated at an oscillating and spinning cylindrical liquid column.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 - ${\text{We}} \equiv \frac{{\varrho a^3 \Omega _0 ^2 }}{\sigma }$ Weber number - $\bar z_0$ axial excitation amplitude - $\alpha ^2 = {\text{ 1}} - \frac{{4\Omega _0 ^2 }}{{\Omega ^2 }} > 0$ elliptic case ( > 2 ₀) - $\beta ^2 = {\text{ 1}} - \frac{{4\Omega _0 ^2 }}{{\Omega ^2 }} - 1 > 0$ hyperbolic case ( > 2 ₀) - liquid density - surface tension - liquid surface displacement - acceleration potential - ₀ rotational speed - axial forcing frequency - natural frequency of rotating system - _on natural frequency of harmonic axial response

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