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Characters of surface deformation and surface wave in thermal capillary convection

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Abstract

In the field of fluid mechanics, free surface phenomena is one of the most important physical processes. In the present research work, the surface deformation and surface wave caused by temperature difference of sidewalls in a rectangular cavity have been investigated. The horizontal cross-section of the container is 52 mm×42 mm, and there is a silicon oil layer of height 3.5 mm in the experimental cavity. Temperature difference between the two side walls of the cavity is increased gradually, and the flow on the liquid layer will develop from stable convection to un-stable convection. An optical diagnostic system consisting of a modified Michelson interferometer and image processor has been developed for study of the surface deformation and surface wave of thermal capillary convection. The Fourier transformation method is used to interferometer fringe analysis. The quantitative results of surface deformation and surface wave have been calculated from a serial of the interference fringe patterns. The characters of surface deformation and surface wave have been obtained. They are related with temperature gradient and surface tension. Surface deformation is fluctuant with time, which shows the character of surface wave. The cycle period of the wave is 4.8 s, and the amplitudes are from 0 to 0.55 μm. The phase of the wave near the cool side of the cavity is opposite and correlative to that near the hot side. The present experiment proves that the surface wave of thermal capillary convection exists on liquid free surface, and it is wrapped in surface deformation.

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References

  1. Hamed M, Floryan J M. Marangoni convection. Part 1. A cavity with differentially heated sidewalls. J Fluids, 2000, 405: 79–110

    MATH  MathSciNet  Google Scholar 

  2. Smith M K, Davis S H. Instabilities of dynamic thermocapillary liquid layers. J Fluid Mech, 1983, 132: 145–162

    Article  MATH  Google Scholar 

  3. Sen A K, Davis S H. Steady thermocapillary flows in two-dimensional slots. J Fluid Mech, 1982, 121: 163–186

    Article  MATH  Google Scholar 

  4. Riley R J, Neitzel G P. Instability of thermocapillary-buoyancy convection in shallow layers. Part 1. Characterization of steady and oscillatory instabilities. J Fluid Mech, 1998, 359: 143–164

    Article  MATH  MathSciNet  Google Scholar 

  5. Burguete J, Mukolobwiez N, Daviaud F, et al. Chiffaudel, Buoyant-thermocapillary instabilities in extended liquid layers subjected to a horizontal temperature gradient. Physics of Fluids, 2001, 13(10): 2773–2787

    Article  Google Scholar 

  6. Dabiri D, Gharib M. Simultaneous free-surface deformation and near-surface velocity measurements. Experiments in Fluids, 2001, 30: 381–390

    Article  Google Scholar 

  7. Hu W R, You H T, Cao Z H. Free surface oscillation of thermalcapillary convection in liquid bridge of half floating zone. Sci China Ser A, 1992, 35(9): 1101–1109.

    Google Scholar 

  8. Shu J Z, Yao Y L, Zhou H, et al. Experimental study of free surface oscillation of a liquid bridge by optical diagnostics. Microgravity Science and Technology, 1994, 7: 83

    Google Scholar 

  9. Kang Q, Duan L, Hu W R, Experimental study of surface deformation and flow pattern on Buoyant-thermocapillary convection. Microgravity Science & Technology, 2004, 15(2): 18–24

    Google Scholar 

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Correspondence to Duan Li.

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Duan, L., Kang, Q. & Hu, W. Characters of surface deformation and surface wave in thermal capillary convection. SCI CHINA SER E 49, 601–610 (2006). https://doi.org/10.1007/s11431-006-2013-2

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  • DOI: https://doi.org/10.1007/s11431-006-2013-2

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