Viscous Potential Flow Analysis of Faraday Instability and Rayleigh-Taylor Instability

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概要

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• Faraday waves in a circular cylindrical container are studied based on viscous potential flow analysis. Mathieu equation with damping term is solved using the Runge-Kutta method, and the resulting wave forms are decomposed in Fourier spectrum. It was suggested that Faraday instability is caused when the container moves vertically upwards just as the Rayleigh-Taylor instability occurs at the interface when the acceleration acts from large density fluid to small density fluid. It is found here that the onset of Faraday waves of short wavelength is estimated very well by the maximum growth rate of Rayleigh-Taylor instability and the associated wave number, especially for very viscous fluids and large acceleration of the container.

• 沼津工業高等専門学校の論文
• 2006-01-31

著者

• Funada Toshio

  電子制御工学科:専攻科

• TASHIRO Naoto

  専攻科

関連論文

• Viscous Potential Flow Analysis of Faraday Instability and Rayleigh-Taylor Instability

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