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S. V. Alekseenko, V. V. Guzanov , S. M. Kharlamov and D. M. Markovich

Typical peculiarities of transition from regular two-dimensional to three-dimensional wave motion on vertically falling liquid films. S. V. Alekseenko, V. V. Guzanov , S. M. Kharlamov and D. M. Markovich Kutateladze Institute of Thermophysics Siberian Branch, Russian Academy of Sciences

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S. V. Alekseenko, V. V. Guzanov , S. M. Kharlamov and D. M. Markovich

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  1. Typical peculiarities of transition from regular two-dimensional to three-dimensional wave motion on vertically falling liquid films S. V. Alekseenko, V. V. Guzanov,S. M.Kharlamov and D. M. Markovich Kutateladze Institute of Thermophysics Siberian Branch, Russian Academy of Sciences Novosibirsk State University VI SOLITONS, COLLAPSES AND TURBULENCE: Achievements, Developments and Perspectives" June 4-8, 2012, Novosibirsk

  2. Intorduction Natural flow Artificial perturbation of excited 2D waves • Shadowgraph technique • Absence of information about amplitudes [C. D. Park and T. Nosoko. Three-Dimensional Wave Dynamics on a Falling Film and Associated Mass Transfer. AIChE Journal. 2003. Vol. 49, No. 11. pp. 2715 – 2727]

  3. Intorduction • Calculation • Volume of Fluid method in conjunction with the Continuum Surface method • Periodic boundary conditions • Small computational domain • Dietze G. F., Kneer R. Flow separation in falling liquid films // Frontiers in Heat and Mass Transfer (FHMT) -2011. V. 2. № 3. P.033001. 14 p. Re = 59.3 γ= 3940.2

  4. comb needles Sketch of experimental setup and operating conditions • For water Re=18 – 70 (Re=q/ν, where q – specific flow rate, ν – kinematic viscosity). • For WGS Re=10 – 50. • Laser Induced Fluorescence (LIF) technique. • Stroboscopic photography. • Excitation of 2D waves by periodic flow rate modulation with frequencies f. • Comb with equally-spaced needles for the perturbation of 2D waves. • Total error 2 – 3%. – Kapitsa number

  5. Natural transition Time-averaged thickness Instant film thickness distribution Water. Re = 50, f = 17Hz. + • - Wake formation. Natural transition is observed for water for Re>30 for WGS for Re>12 Sufficient redistribution for isothermal film flow

  6. Forced transition WGS, Re=36, f=16Hz, l=2.5cm Water, Re=40, f=16Hz, l=2cm * * * * * * decrease increase

  7. Forced transition Water, Re=19, f=11.5Hz, l=2cm * * * Stable propagation

  8. mm mm Forced transition Horseshoe shape Experiment Calculation Non-horseshoe shape Water Re=65 γ=3660 f=16Hz l=2cm Re=59.3 γ=3940.2 f=17Hz l=2cm Dietze G. F., Kneer R. Flow separation in falling liquid films // Frontiers in Heat and Mass Transfer (FHMT) -2011. V. 2. № 3. P.033001. 14 p.

  9. Conclusion • The cases of 2D-3D transition due to natural transverse instability of 2D waves and forced transition due to destruction of 2D waves were investigated experimentally. • Natural 2D-3D transition is observed when Re>30 for water and when Re>12 for WGS. • Sufficient redistribution of liquid in transverse direction in process of 2D-3D transition for isothermal film flow has been revealed. For investigated regimes time-averaged local film thickness can differs up to 30 – 40% on the transverse distances compatible with transverse size of “jets”.

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