Nonlinear Surface Waves Driven by the Marangoni Instability in a Heat Transfer System
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概要
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Nonlinear surface waves of long wavelength driven by the Marangoni instabilityare investigated theoretically for a heat transfer system, in which a temperature of athin liquid layer causes variations of the surface tension coefficient. For two examplesconsidered here, the surface waves are governed, respectively, by a nonlinear evolu-tion equation of diffusion type and the Kuramoto-Sivashinsky equation. It is shownthat steady solutions for the first example, which are expressed by the cnoidal func-lion, can be realized if a condition prescribed by values of parameters involved issatisfied at initial instants. Itis also shown that the surface waves for the second exam-pie include two types of shock wave solutions.
- 社団法人日本物理学会の論文
- 1987-06-15
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