화학공학소재연구정보센터
Korean Journal of Chemical Engineering, Vol.38, No.1, 144-151, January, 2021
Onset of evaporation-driven gravitational instability in a saline solution
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The onset time of buoyancy-driven instability in a saline solution where evaporation proceeds through the solution-air interface is analyzed theoretically and numerically. Based on linear stability theory, new stability equations are derived and numerically solved. Also, nonlinear numerical simulations are conducted using FEM solver, COMSOL Multiphysics.® It is clearly shown that as the evaporation proceeds, the height of solution continuously decreases with time. Moreover, as the evaporation proceeds, concentrated saline solution near the evaporating surface induces gravitational instability. The critical time determined from the linear stability analysis explains the numerical simulation results reasonably. The present theoretical and numerical studies present that evaporation-driven instability is governed by the dimensionless evaporation rate, α, and the initial salt concentration, Ra. The present numerical simulations explain the previous experimental plume dynamics in the evaporation-driven instability systems quite well.
  1. Foster TD, Phys. Fluids, 8, 1770 (1965)
  2. Vidal A, Acrivos A, Ind. Eng. Chem. Fundam., 7, 53 (1968)
  3. Dehaeck S, Wylock C, Colinet P, Phys. Fluids, 21, 091108 (2009)
  4. Kang KH, Lim HC, Lee HW, Lee SJ, Phys. Fluids, 25, 042001 (2013)
  5. Dunstan J, Lee KJ, Hwang Y, Park SF, Goldstein RE, Phys. Rev. Fluids, 3, 123102 (2018)
  6. Mossige EM, Suja VC, Islamov M, Wheeeler SF, Fuller GG, Philos. Trans. R. Soc. Lond. Ser. A-Math. Phys. Eng. Sci., 378, 201905 (2019)
  7. Toussaint G, Bodiguel H, Doumenc F, Guerrier B, Allain C, Int. J. Heat Mass Transfer, 51, 4228 (2008)
  8. Fang Q, Ye F, Yang X, Langmuir, 34, 5551 (2019)
  9. Sobac B, Colineta P, Pauchard L, Soft Matter, 15, 2381 (2019)
  10. Okuzono T, Ozawa K, Doi M, Phys. Rev. Lett., 97, 136103 (2006)
  11. Kim MC, Korean Chem. Eng. Res., 57(1), 142 (2019)
  12. Kim MC, Korean Chem. Eng. Res., 57(5), 723 (2019)
  13. COMSOL Multiphysics, ver. 5.4 COMSOL AB, Stockholm, Sweden (2019).
  14. Dunstan J, Convective flows generated by evaporation, PhD theis, University of Cambridge, UK (2018).
  15. Ryoo WS, Kim MC, Korean J. Chem. Eng., 35(6), 1247 (2018)
  16. Ryoo WS, Kim MC, Korean J. Chem. Eng., 35(7), 1423 (2018)