PIV Measurement for Rayleigh Convection and Its Effect on Mass Transfer

doi:10.1016/j.cjche.2014.06.022

Abstract

Abstract: The velocity distribution in Rayleigh convection caused by acetone volatilization in acetone-ethyl acetate binary system was observed in a vertical cross section of an initially quiescent liquid layer by utilizing particle image velocimetry. Obvious turbulent vortexes that were induced by Rayleigh convection appeared in the bulk liquid, and its statistic features indicated that Rayleigh convection became more intensewith the increase of Ra number and ReG number. Mass transfer coefficient was measured and the computed enhancement factor indicated that Rayleigh convection could promote the surface renewal of the liquid phase and intensify the interfacial mass transfer significantly. A method was proposed for the prediction of mass transfer coefficient based on the measured velocity vector, and the predicted mass transfer coefficients are in reasonable agreement with the experimental results.

Key words: Rayleigh convection, Particle image velocimetry, Mass transfer coefficient, Enhancement of mass transfer

摘要： The velocity distribution in Rayleigh convection caused by acetone volatilization in acetone-ethyl acetate binary system was observed in a vertical cross section of an initially quiescent liquid layer by utilizing particle image velocimetry. Obvious turbulent vortexes that were induced by Rayleigh convection appeared in the bulk liquid, and its statistic features indicated that Rayleigh convection became more intensewith the increase of Ra number and ReG number. Mass transfer coefficient was measured and the computed enhancement factor indicated that Rayleigh convection could promote the surface renewal of the liquid phase and intensify the interfacial mass transfer significantly. A method was proposed for the prediction of mass transfer coefficient based on the measured velocity vector, and the predicted mass transfer coefficients are in reasonable agreement with the experimental results.

关键词: Rayleigh convection, Particle image velocimetry, Mass transfer coefficient, Enhancement of mass transfer

Wei Chen, Shuyong Chen, Xigang Yuan, Huishu Zhang, Botan Liu, Kuotsung Yu. PIV Measurement for Rayleigh Convection and Its Effect on Mass Transfer[J]. , 2014, 22(10): 1078-1086.

References

[1] L. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Phil. Mag. 32 (1) (1916) 529-546.
[2] H. Bénard, Les tourbillons cellulaires dans une nappe liquide. - Méthodes optiques d'observation et d'enregistrement, J. Phys. Ther. Appl. 10 (1) (1901) 254-266 (in French).
[3] R.J. Goldstein, E.M. Sparrow, D.C. Jones, Natural convectionmass transfer adjacent to horizontal plates, Int. J. Heat Mass Transfer 16 (5) (1973) 1025-1035.
[4] E.D. Burger, L.M. Blair, J.A. Quinn, Intermittent convection: confirmation of a model for mass transfer into stratified fluid layers, Chem. Eng. Sci. 29 (7) (1974) 1545-1555.
[5] Z.F. Sun, K.T. Yu, Rayleigh-Benard-Marangoni cellular convection: expressions for heat and mass transfer rates, Chem. Eng. Res. Des. 84 (3) (2006) 185-191.
[6] Y. Guo, X.G. Yuan, A.W. Zeng, G.C. Yu, Measurement of liquid concentration fields near interface with cocurrent gas-liquid flow absorption using holographic interferometry, Chin. J. Chem. Eng. 14 (6) (2006) 747-753.
[7] A. Okhotsimskii, M. Hozawa, Schlieren visualization of natural convection in binary gas-liquid systems, Chem. Eng. Sci. 53 (14) (1998) 2547-2573.
[8] Y. Sha, H. Cheng, X.G. Yuan, Optical study on concentration-driven Rayleigh- Bénard-Marangoni convection, Trans Tianjin Univ. 8 (1) (2002) 22-26.
[9] A.M. Kutepov, B.G. Pokusaev, D.A. Kazenin, S.P. Karlov, A.V. Vyaz'min, Interfacial mass transfer in the liquid-gas system: an optical study, Theor. Found. Chem. Eng. 35 (3) (2001) 213-216.
[10] M.A. Atmane, V.S.S. Chan,D.B.Murray,Natural convection around a horizontal heated cylinder: the effects of vertical confinement, Int. J. Heat Mass Transfer 46 (19) (2003) 3661-3672.
[11] B. Arendt, D. Dittmar, R. Eggers, Interaction of interfacial convection and mass transfer effects in the system CO₂-water, Int. J. Heat Mass Transfer 47 (17-18) (2004) 3649-3657.
[12] Z.F. Sun, K.T. Yu, S.Y.Wang, Y.Z. Miao, Absorption and Desorption of carbon dioxide into and from organic solvents: effects of Rayleigh and Marangoni instability, Ind. Eng. Chem. Res. 41 (7) (2002) 1905-1913.
[13] Y. Guo, Study on mass transfer phenomena across a moving interface of gas-liquid system, Ph.D. Dissertation School of Chemical Engineering and Technology, Tianjin University, Tianjin, China, 2006.
[14] E. Bilgen, H. Oztop, Natural convection heat transfer in partially open inclined square cavities, Int. J. Heat Mass Transfer 48 (8) (2005) 1470-1479.
[15] M. Corcione, E. Habib, Multi-Prandtl correlating equations for free convection heat transfer from a horizontal tube of elliptic cross-section, Int. J. Heat Mass Transfer 52 (5-6) (2009) 1353-1364.
[16] A.A. Mohamad, M. El-Ganaoui, R. Bennacer, Lattice Boltzmann simulation of natural convection in an open ended cavity, Int. J. Therm. Sci. 48 (10) (2009) 1870-1875.
[17] C. Buffone, K. Sefiane, Controlling evaporative thermocapillary convection using external heating: an experimental investigation, Exp. Thermal Fluid Sci. 32 (6) (2008) 1287-1300.
[18] F. Corvaro, M. Paroncini, Experimental analysis of natural convection in square cavities heated from below with 2D-PIV and holographic interferometry techniques, Exp. Thermal Fluid Sci. 31 (7) (2007) 721-739.
[19] K.H. Baumann, K. M黨lfriedel, Mass transfer and concentration profiles near phase boundaries, Int. J. Therm. Sci. 40 (5) (2001) 425-436.
[20] Z.F. Xu, B.C. Khoo, K. Carpenter, Mass transfer across the turbulent gas-water interface, AICHE J. 52 (10) (2006) 3363-3374.
[21] F. Corvaro, M. Paroncini, An experimental study of natural convection in a differentially heated cavity through a 2D-PIV system, Int. J. Heat Mass Transfer 52 (1-2) (2009) 355-365.
[22] Y.H. Yu, Y. Sha, H. Cheng, Observation of interfacial turbulence structure in the single diffusion process, Chem. J. Chin. Univ. 17 (2) (2003) 212-215.
[23] X.G. Shi, Turbulence, Tianjin University Press, Tianjin, 1994. 1-255 (in Chinese).
[24] R.J. Adrian, K.T. Christensen, Z.C. Liu, Analysis and interpretation of instantaneous turbulent velocity fields, Exp. Fluids 29 (3) (2000) 275-290.
[25] B. Fu, X.G. Yuan, B.T. Liu, S.Y. Chen, H.S. Zhang, A.W. Zeng, G.C. Yu, Characterization of Rayleigh convection in interfacial mass transfer by lattice Boltzmann simulation and experimental verification, Chin. J. Chem. Eng. 19 (5) (2011) 845-854.
[26] Z.S. Zhang, G.X. Cui, C.X. Xu, Theory and Modeling of Turbulence, TsinghuaUniversity Press, Beijing, 2005. 1-279 (in Chinese).
[27] Y. Li, H. Zhao, B. Leach, T. Ma, N. Ladommatos, Characterization of an in-cylinder flow structure in a high-tumble spark ignition engine, Int. J. Engine Res. 5 (5) (2004) 375-400.
[28] S.H. Zhang, Z.M. Wang, Y.F. Su, Mass transfer and interfacial turbulence in a laminar film: study of transferring two solutes separately and simultaneously through liquid-liquid interface, Chem. Eng. Res. Des. 68 (1) (1990) 84-92.
[29] Y. Sha, Study on Rayleigh-Bénard-Marangoni convection driven by the mass transfer, (Ph.D. Dissertation) School of Chemical Engineering and Technology, Tianjin University, Tianjin, China, 2002.