Entransy dissipation analysis of interfacial convection enhancing gasliquid mass transfer process based on field synergy principle

doi:10.1016/j.cjche.2019.03.017

Abstract

Abstract: An exploration of the gas CO₂ absorbed into liquid ethanol accompanied with Rayleigh convection is performed by analyzing the mass entransy dissipation; this new statistical quantity is introduced to describe the irreversibility of mass transfer potential capacity. Based on the general advection-diffusion differential equation for an unsteady mass transfer process, the variation of the included angle between the velocity vector and concentration gradient fields is investigated to reveal the underlying mechanism of interfacial convection enhancing mass transfer. Results show some identical characteristics with the qualitative analyses of the synergy effects generated by the concentration and velocity fields after interfacial convection occurring for a boundary condition of fixed surface concentration. And the equivalent mass resistance for convective mass transfer process presents the similar variation with the reciprocal of instantaneous mass transfer coefficient. Accordingly, it is reasonable to be seen that mass transfer dissipation rate could be provided to assess the convection strength and explain fundamentally how Rayleigh convection improves mass transfer performance through establishing a close relationship between the mass transfer capacity and field synergy principle from the view of mass transfer theory.

Key words: Field synergy, Mass entransy dissipation, Equivalent mass resistance, Interfacial convection, Reinforcement

摘要： An exploration of the gas CO₂ absorbed into liquid ethanol accompanied with Rayleigh convection is performed by analyzing the mass entransy dissipation; this new statistical quantity is introduced to describe the irreversibility of mass transfer potential capacity. Based on the general advection-diffusion differential equation for an unsteady mass transfer process, the variation of the included angle between the velocity vector and concentration gradient fields is investigated to reveal the underlying mechanism of interfacial convection enhancing mass transfer. Results show some identical characteristics with the qualitative analyses of the synergy effects generated by the concentration and velocity fields after interfacial convection occurring for a boundary condition of fixed surface concentration. And the equivalent mass resistance for convective mass transfer process presents the similar variation with the reciprocal of instantaneous mass transfer coefficient. Accordingly, it is reasonable to be seen that mass transfer dissipation rate could be provided to assess the convection strength and explain fundamentally how Rayleigh convection improves mass transfer performance through establishing a close relationship between the mass transfer capacity and field synergy principle from the view of mass transfer theory.

关键词: Field synergy, Mass entransy dissipation, Equivalent mass resistance, Interfacial convection, Reinforcement

Dong Li, Aiwu Zeng. Entransy dissipation analysis of interfacial convection enhancing gasliquid mass transfer process based on field synergy principle[J]. Chinese Journal of Chemical Engineering, 2019, 27(8): 1777-1788.

Dong Li, Aiwu Zeng. Entransy dissipation analysis of interfacial convection enhancing gasliquid mass transfer process based on field synergy principle[J]. 中国化学工程学报, 2019, 27(8): 1777-1788.

References

[1] L. R., LIX. On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Philos. Mag. 32(192) (1975) 529-546.
[2] K.T. Yu, X.G. Yuan, Introduction to Computational Mass Transfer, Tianjin University Press, 2011(in Chinese).
[3] A. Okhotsimskii, M. Hozawa, Schlieren visualization of natural convection in binary gas-liquid systems, Chem. Eng. Sci. 53(14) (1998) 2547-2573.
[4] B. Arendt, D. Dittmar, R. Eggers, Interaction of interfacial convection and mass transfer effects in the system CO₂-water, Int. J. Heat Mass Transf. 47(17-18) (2004) 3649-3657.
[5] C.X. Liu, A.W. Zeng, X.G. Yuan, et al., Experimental study on mass transfer near gas-liquid interface through quantitative Schlieren method, Chem. Eng. Res. Des. 86(2) (2008) 201-207.
[6] Y. Sha, H. Cheng, Y.H. Yu, The numerical analysis of the gas-liquid absorption process accompanied by Rayleigh convection, Chin. J. Chem. Eng. 10(5) (2002) 539-544.
[7] B. Fu, X.G. Yuan, B.T. Liu, et al., Characterization of Rayleigh convection in interfacial mass transfer by lattice-Boltzmann simulation and experimental verification, Chin. J. Chem. Eng. 19(5) (2011) 845-854.
[8] S.Y. Chen, X.G. Yuan, B. Fu, et al., Simulation of interfacial Marangoni convection in gas-liquid mass transfer by lattice Boltzmann method, Front. Chem. Sci. Eng. 5(4) (2011) 448-454.
[9] S.Y. Chen, B. Fu, X.G. Yuan, et al., Lattice Boltzmann method for simulation of solutal interfacial convection in gas-liquid system, Ind. Eng. Chem. Res. 51(33) (2012) 10955-10967.
[10] N. Kurenkova, K. Eckert, E. Zienicke, et al., Desorption-driven convection in aqueous alcohol solution, Interfacial Fluid Dynamics & Transport Processes 19(6) (1970) 403-416.
[11] K.K. Tan, R.B. Thorpe, Gas diffusion into viscous and non-Newtonian liquids, Chem. Eng. Sci. 47(13) (1992) 3565-3572.
[12] K.K. Tan, R.B. Thorpe, The onset of convection induced by buoyancy during gas diffusion in deep fluids, Chem. Eng. Sci. 54(19) (1999) 4179-4187.
[13] M.T. Hyun, C.K. Min, Onset of buoyancy-driven convection in the horizontal fluid layer subjected to time-dependent heating from below, Int. Commun. Heat Mass Transfer 30(7) (2003) 965-974.
[14] C.K. Min, D.Y. Yoon, K.C. Chang, Onset of buoyancy-driven instability in gas diffusion systems, Ind. Eng. Chem. Res. 45(21) (2006) 7321-7328.
[15] 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.
[16] S.U. Rahman, M.A. Al-Saleh, R.N. Sharma, An experimental study on natural convection from vertical surfaces embedded in porous media, Ind. Eng. Chem. Res. 39(1) (2000) 214-218.
[17] S.U. Rahman, Natural convection along vertical wavy surfaces:An experimental study, Chem. Eng. J. 84(3) (2001) 587-591.
[18] Y. Wang, Z.T. Zhang, Influence of interfacial turbulence on the mass transfer rate in physical absorption processes, J. Beijing Univ. Chem. Technol. 29(6) (2002) 1-4.
[19] Z.F. Sun, K.T. Yu, S.Y. Wang, et al., 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.
[20] W. Chen, S.Y. Chen, X.G. Yuan, et al., PIV measurement for Rayleigh convection and its effect on mass transfer, Chin. J. Chem. Eng. 22(10) (2014) 1078-1086.
[21] K. Guo, C.J. Liu, S.Y. Chen, et al., Spatial scale effects on Rayleigh convection and interfacial mass transfer characteristics in CO₂ absorption, Chem. Eng. Technol. 38(1) (2015) 23-32.
[22] H. Haken, Advanced Synergetics. Instability Hierarchies of Self-Organizing Systems and Devices, 1st ed., Springer-Verlag, 1983.
[23] H. Haken, Synergetics:Introduction and Advanced Topics, 3rd ed., Springer, 1983.
[24] Z.Y. Guo, D.Y. Li, B.X. Wang, A novel concept for convective heat transfer enhancement, Int. J. Heat Mass Transf. 41(14) (1998) 2221-2225.
[25] Z.Y. Guo, W.Q. Tao, R.K. Shah, The field synergy (coordination) principle and its applications in enhancing single phase convective heat transfer, Int. J. Heat Mass Transf. 48(9) (2005) 1797-1807.
[26] W.Q. Tao, Z.Y. Guo, B.X. Wang, Field synergy principle for enhancing convective heat transfer-Its extension and numerical verifications, Int. J. Heat Mass Transf. 45(18) (2002) 3849-3856.
[27] M. Zeng, W.Q. Tao, Numerical verification of the field synergy principle for turbulent flow, J. Enhanc. Heat Transfer 11(4) (2004) 453-460.
[28] M. Yang, M. Zhao, L.X. Zhang, et al., Field synergy and stability in convection heat transfer, J. Eng. Thermophys. 23(2002) 73-76.
[29] X.P. Lu, S.R. Yu, Divergence effect of field synergy for convective heat transfer, CIESC J. 62(9) (2011) 2464-2468(in Chinese).
[30] X. Lu, S. Yu, D. Guo, From field synergy to thermodynamics coupling:Thermodynamics mechanism for convective heat transfer enhancement, J. Mech. Eng. 51(10) (2015) 160-171.
[31] Q. Chen, J.A. Meng, Field synergy analysis and optimization of the convective mass transfer in photocatalytic oxidation reactors, Int. J. Heat Mass Transf. 51(11-12) (2008) 2863-2870.
[32] K. Guo, C.J. Liu, S.Y. Chen, et al., Modeling with statistical hydrodynamic quantities of mass transfer across gas-liquid interface with Rayleigh convection, Chem. Eng. Sci. 135(2015) 33-44.
[33] A. Arce, A.A. Jr, A. Eva Rodil, et al., Density, refractive index, and speed of sound for 2-ethoxy-2-methylbutane + ethanol + water at 298.15 K, J. Chem. Eng. Data 45(4) (2000) 536-539.
[34] M. Takahashi, Y. Kobayashi, H. Takeuchi, Diffusion coefficients and solubilities of carbon dioxide in binary mixed solvents, J. Chem. Eng. Data 27(3) (1982) 328-331.
[35] D. Dittmar, A. Fredenhagen, S.B. Oei, et al., Interfacial tensions of ethanol-carbon dioxide and ethanol-nitrogen. Dependence of the interfacial tension on the fluid density-Prerequisites and physical reasoning, Chem. Eng. Sci. 58(7) (2003) 1223-1233.
[36] H.L. Yu, A.W. Zeng, Visualization and quantitative analysis for Marangoni convection in process of gas-liquid mass transfer, CIESC J. 65(10) (2014) 3760-3768(in Chinese).
[37] M. Chen, S. Zhao, A.W. Zeng, et al., Quantitative analysis of Rayleigh convection in interfacial mass transfer process, CIESC J. 67(11) (2016) 4566-4573(in Chinese).
[38] P.K. Panigrahi, K. Muralidhar, Schlieren and Shadowgraph Methods in Heat and Mass Transfer, Springer, New York, 2012.
[39] Y.C. Hua, T. Zhao, Z.Y. Guo, Optimization of the one-dimensional transient heat conduction problems using extended entransy analyses, Int. J. Heat Mass Transf. 116(2018) 166-172.
[40] R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, 28(2), John Wiley & Sons, 2002, pp. 338-359.
[41] Z.Y. Guo, H.Y. Zhu, X.G. Liang, Entransy-A physical quantity describing heat transfer ability, Int. J. Heat Mass Transf. 50(13-14) (2007) 2545-2556.
[42] X. Cheng, Entransy and Its Applications in Heat Transfer Optimization, PhD Thesis, Tsinghua University, Beijing, 2004(in Chinese).
[43] Q. Chen, J.X. Ren, Z.Y. Guo, Field synergy analysis and optimization of decontamination ventilation designs, Int. J. Heat Mass Transf. 51(3-4) (2008) 873-881.
[44] Q. Chen, Irreversibility and Optimization of Convective Transport Processes, PhD Thesis, Tsinghua University, Beijing, 2008(in Chinese).
[45] L.G. Chen, Progress in optimization of mass transfer processes based on mass entransy dissipation extremum principle, SCIENCE CHINA Technol. Sci. 57(12) (2014) 2305-2327.
[46] Q. Chen, J.X. Ren, Generalized thermal resistance for convective heat transfer and its relation to entransy dissipation, Chin. Sci. Bull. 53(2008) 3753-3761.
[47] D. Li, M. Chen, S. Zhao, et al., Entropy generation analysis of Rayleigh convection in gas-liquid mass transfer process, Chem. Eng. Res. Des. 135C (2018) 359-369.