Marangoni Instability of a Liquid Layer Due to Time-Periodic Heating (2)

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概要

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• Marangoni instability is studied theoretically for a liquid layer with finite thickness, in which time-periodic heating (or cooling) at the bottom wall causes the surface tension gradient. In a static state of the layer, the heating gives a characteristic length which depends upon the time-period. Based upon this period, small disturbances are expressed by the Fourier series. It is shown that the critical Marangoni number and the corresponding wavenumber are given as functions of the Prandtl number, the coefficients of heat transfer, and the ratio of the characteristic length to the thickness of the layer. By truncating the coupling modes of disturbances at the lowest order, some typical results for the critical condition are discussed. By taking into the next mode of disturbances, coupling instability is also discussed.

• 沼津工業高等専門学校の論文
• 1996-01-31

著者

• USUI Takahiko

  Department of Geriatric Medicine, Graduate School of Medicine University of Tokyo

• Usui Takahiko

  Department Of Applied Physics Faculty Of Engineering Osaka University

• FUNADA Toshio

  Department of Digital Engineering.

• IIZUKA Takayasu

  Department of Applied Physics, Faculty of Engineering, Tokyo University

• Iizuka Takayasu

  Department Of Applied Physics Faculty Of Engineering Tokyo University

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