Long Wave Instability of the Bulge Mode on a Free Liquid Sheet with Variable Surface Tension and Viscosity(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
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概要
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We investigate long wave instability of the bulge mode on a free liquid sheet subject to a temperature difference between both surfaces. Considering the temperature dependence of the surface tension and viscosity, we derive linear evolution equations for the bulge mode under the membrane approximation. The temporal and spatial instabilities of the mode are mainly examined for the temperature difference |ΔΘ|. It is shown that there exist two critical temperature differences ΔΘ_C and ΔΘ_s. For |ΔΘ| > ΔΘ_C, the sheet becomes unstable for both instabilities, where the sheet remains stationary for the temporal instability, while oscillatory for the spatial instability. On the other hand, when |ΔΘ| varies across ΔΘ_s, the sheet becomes oscillatory from stationary but remains stable for the temporal instability. Furthermore, it is shown for both instabilities that the increase of the temperature dependence of viscosity stabilizes the sheet.
- 社団法人日本物理学会の論文
- 2004-01-15
著者
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YOSHINAGA Takao
Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University
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Yoshida Takuya
Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University
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Yoshinaga Takao
Department Of Engineering Science Osaka University
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Yoshinaga Takao
Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University
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