Parametric Excitation of Marangoni Instability in a Heated Thin Layer Covered by Insoluble Surfactant

Springer Science and Business Media LLC - Tập 30 Số 3 - Trang 173-181 - 2018
Alexander B. Mikishev1, Alexander Nepomnyashchy2
1Department of Physics, Sam Houston State University, Huntsville, TX 77341, USA
2Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel

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Tài liệu tham khảo

Bhattacharjee, J.K.: Marangoni convection in binary liquids. Phys. Rev. E 50, 1198 (1994)

Birikh, R.V., Briskman, V.A., Velarde, M.G., Legros, J.-C.: Liquid Interfacial Systems. Oscillations and Instability. Dekker, New York (2003)

Fei, L., Ikeburo, K., Katsuta, T., Kaneko, T., Ueno, I., Pettit, D.R.: Effect of static deformation on basic flow patterns in thermocapillary-driven free liquid film. Microgravity Sci. Technol. 29, 29 (2017)

Gaponenko, Y., Shevtsova, V.: Mixing under vibrations in reduced gravity. Microgravity Sci. Technol. 20, 307 (2010)

Georis, P., Hennenberg, M., Lebon, G., Legros, J.C.: Investigation of thermocapillary convection in a three-liquid-layer system. J. Fluid Mech. 389, 209 (1999)

Johns, L.E., Narayanan, R.: Interfacial Instability. Springer, New York (2002)

Kang, Q., Duan, L., Zhang, L., Yin, Y., Yang, J., Hu, W.: Thermocapillary convection experiment facility of an open cylidrical annuli for SJ-10 sattelite. Microgravity Sci. Technol. 28, 123 (2016)

Kuhlmann, H.C.: Thermocapillary Convection in Models of Crystal Growth. Springer, Berlin (1999)

Mikishev, A.B., Friedman, B.A., Nepomnyashchy, A.A.: Generation of transverse waves in a liquid layer with insoluble surfactant subjected to temperature gradient. Fluid Dyn. Res. 48, 061403 (2016)

Mikishev, A.B., Nepomnyashchy, A.A.: Long-wavelength Marangoni convection in a liquid layer with insoluble surfactant: linear theory. Microgravity Sci. Technol. 22, 415 (2010)

Mikishev, A.B., Nepomnyashchy, A.A.: Large-scale Marangoni convection in a liquid layer with insoluble surfactant under heat flux modulation. J. Adhesion Sci. Technol. 25, 1411 (2011)

Mikishev, A.B., Nepomnyashchy, A.A.: On dynamic excitation of Marangoni instability in a liquid layer with insoluble surfactant on the deformable surface. Eur. Phys. J. Spec. Topics 224, 229 (2015)

Mikishev, A.B., Nepomnyashchy, A.A.: Parametric excitation of oscillatory Marangoni instability in a heated liquid layer covered by insoluble surfactant. Eur. Phys. J. Spec. Topics 226, 1287 (2017)

Nepomnyashchy, A.A., Simanovskii, I.B.: Thermocapillary convection in two-layer systems in the presence of surfactant on the interface. Fluid Dyn. 21, 469 (1986)

Nepomnyashchy, A.A., Velarde, M.G., Colinet, P.: Interfacial Phenomena and Convection. Chapman& Hall/CRC, Boca Raton (2002)

Oron, A., Nepomnyashchy, A.A.: Long-wave thermocapillary instability with the Soret effect. Phys. Rev. E 69, 016313 (2004)

Palmer, H.J., Berg, J.C.: Hydrodynamic stability of surfactant solutions heated from below. J. Fluid Mech. 51, 385 (1972)

Pearson, J.R.A.: On convection cells induced by surface tension. J. Fluid Mech. 4, 489 (1958)

Podolny, A., Oron, A., Nepomnyashchy, A.A.: Long-wave Marangoni instability in a binary-liquid layer with deformable interface in the presence of Soret effect: linear theory. Phys. Fluids 17, 104104 (2005)

Shevtsova, V.: IVIDIL Experiment onboard the ISS. Adv. Space Research 46, 672 (2010)

Shevtsova, V., Gaponenko, Y., Sechenyh, V., Melnikov, D., Lyubimova, T., Mialdun, A.: Dynamics of a binary mixture subjected to a temperature gradient and oscillatory forcing. J. Fluid Mech. 767, 290 (2015)

Simanovskii, I., Georis, P., Nepomnyashchy, A., Legros, J.C.: Nonlinear Marangoni oscillations in multilayer systems. Microgravity Sci. Technol. 15, 25 (2004)

Smith, K.A.: On convective instability induced by surface-tension gradients. J. Fluid Mech. 24, 402 (1966)

VanHook, S.J., Schatz, M.F., Swift, J.B., McCormick, W.D., Swinney, H.L.: Long-wavelength surface-tension-driven Bénard convection: experiment and theory. J. Fluid Mech. 345, 45 (1997)

Wong, H., Rumschitzki, C., Maldarelli, C.: On the surfactant mass balance at the deforming fluid interface. Phys. Fluids 8, 3203 (1996)