Behavior of a Free Liquid Sheet Subject to a Temperature Difference between Both Surfaces : Classical Phenomenology and Applications

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概要

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• Behavior of a free viscous liquid sheet subject to a temperature difference between both surfaces is analytically examined by considering the thermocapillary effect. Under the long wave approximation, nonlinear evolution equations of the sheet thickness and velocity are derived for sufficiently small Prandtl number, while a nonlinear relation between the position of sheet centerline and the sheet thickness is obtained. It is shown that the surface profiles deviate from the symmetric (dilational) to the asymmetric with flat troughs and large crests as the temperature difference increases. It is also shown that there exist certain critical temperature difference △Θ_c above which the sheet becomes linearly unstable. In the neighborhood of △Θ_c, a weakly nonlinear equation of the sheet thickness is obtained and numerically solved for the instability. However, since △Θ_c is estimated to be so large in both linear and nonlinear analyses, the sheet may be substantially stable as far as the small Prandtl number is considered.

• 社団法人日本物理学会の論文
• 2001-01-15

著者

• UCHIYAMA Takeshi

  Department of Oral and Maxillofacial Surgery, Tokyo Dental College

• Yoshinaga T

  Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University

• Uchiyama Takeshi

  Department Of Physics Tokyo Institute Of Technology

• Uchiyama Takeshi

  The Second Department Of Oral And Maxillo-facial Surgery Tokyo Dental College

• YOSHlNAGA Takao

  Department of Mechanical Science,Faculty of Engineering Science,Osaka University

• Uchiyama Takeshi

  Department Of Oral And Maxillofacial Surgery Tokyo Dental College

• Yoshinaga Takao

  Department Of Engineering Science Osaka University

• Yoshlnaga Takao

  Department Of Mechanical Science Faculty Of Engineering Science Osaka University

• Uchiyama Takeshi

  Department Of Agricultural Chemistry Nihon University

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