Summary
Boundaries generally tend to stabilize an otherwise unstable liquid layer subjected to thermal constraints. Here, results are provided about the role of the finite horizontal size and of the finite layer for a liquid layer subjected to gradients of surfactant concentration when instability (overstability) tries to set up in the form of transverse or longitudinal waves induced by the Marangoni effect.
Riassunto
I confini tendono generalmente a stabilizzare uno strato liquido altrimenti instabile soggetto a vincoli termici. Si forniscono qui risultati riguardo il ruolo della dimensione orizzontale finita e della profondità di strato finita per uno strato di liquido soggetto a gradienti di concentrazione dell'agente attivo di superficie quando l'instabilità (sovrastabilità) tende a crescere nelle forme di onde longitudinali o trasverse indotte dall'effetto di Marangoni.
Резюме
Границы обычно стабилизируют неустойчивые слои жидкости, на которые наложены термические воздействия. В этой работе анализируется роль конечных горизонтальнхы размеров и конечных размеров по глубине для слоя жидкости при наличии градиентов концентрации поверхностно-активного вещества, когда неустойчивость возникает в форме поперечных или продольных волн, обусловленных эффектом Марангони.
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References
M. G. Velarde andC. Normand:Sci. Am.,243, 78 (1980).
M. G. Velarde andX.-L. Chu:Phys. Lett. A,131, 430 (1988).
M. G. Velarde andX.-L. Chu:Nuovo Cimento D,11, 709 (1989).
X.-L. Chu, A. Castellanos andM. G. Velarde:Nuovo Cimento D,11, 727 (1989).
M. G. Velarde andX.-L. Chu:Phys. Scr., to appear.
M. G. Velarde andJ. L. Castillo: inConvective Transport and Instability Phenomena, edited byJ. Zierep andH. Oertel Jr. (Braun-Verlag, Karlsruhe, 1982), p. 235–264.
H. Linde: inConvective Transport and Instability Phenomena, edited byJ. Zierep andH. Oertel Jr. (Braun-Verlag, Karlsruhe, 1982), p. 265–296.
J. C. Legros, A. Sanfeld andM. G. Velarde: inFluid Sciences and Materials Science in Space—A European Perspective, edited byH. U. Walter (Springer-Verlag, Berlin, 1987), p. 83–140.
J. L. Castillo, P. L. Garcia-Ybarra andM. G. Velarde: inSynergetics and Dynamic Instabilities, Proceedings SIF Course IXC, edited byG. Caglioti, H. Haken andL. Lugiato (North-Holland, Amsterdam, 1988), p. 219–243.
M. G. Velarde (Editor):Physicochemical Hydrodynamics: Interfacial Phenomena (Plenum Press, New York, N.Y., 1988).
X.-L. Chu andM. G. Velarde:Physicochemical Hydrodyn., to appear.
X.-L. Chu andM. G. Velarde:J. Colloid Interface Sci., to appear.
X.-L. Chu andM. G. Velarde:Phys. Lett. A., to appear.
C. V. Sternling andL. E. Scriven:AIChE J.,5, 514 (1959).
M. Takashima:J. Phys. Soc. Jpn.,50, 2751 (1981).
M. Takashima:J. Phys. Soc. Jpn.,50, 2751 (1981).
Zh. Kozhoukharova andS. Slavchev:Arch. Mech. Pol., to appear.
X.-L. Chu andM. G. Velarde:Nuovo Cimento D,11, 1631 (1989).
G. B. Witham:Linear and Nonlinear Waves (Wiley, New York, N.Y., 1974).
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Address after March 1st, 1989: Physics Department, Huazhong University of Science and Technology (HUST), Wuhan, People's Republic of China.
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Chu, X.L., Velarde, M.G. Dissipative hydrodynamic oscillators. Il Nuovo Cimento D 11, 1615–1629 (1989). https://doi.org/10.1007/BF02451016
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DOI: https://doi.org/10.1007/BF02451016