Effect of a sweeping air stream and gas–phase aspect ratio of an isothermal Stefan diffusion column on the experimental estimation of binary gas diffusivities

References

• Alkire, R. C., Reiser, D. B., and Sani, R. L. (1984). Effect of fluid flow on removal of dissolution products from small cavities, J. Electrochem. Soc. 131, 2795–2800. doi: 10.1149/1.2115410
   Web of Science ®Google Scholar
• Altshuller, A. P., and Cohen, I. R. (1960). Application of diffusion cells to the production of known concentrations of gaseous hydrocarbons, Anal. Chem. 32, 802–810. doi: 10.1021/ac60163a021
   Web of Science ®Google Scholar
• Arnold, J. H. (1930). Studies in diffusion: I. Estimation of diffusivities in gaseous systems, Ind. Eng. Chem. 22, 1091–1095. doi: 10.1021/ie50250a023
   Google Scholar
• Arnold, J. H. (1944). Studies in diffusion: III. Unsteady-state vaporization and absorption, Trans. Am. Inst. Chem. Eng. 40, 361–378.
   Google Scholar
• Ben Aim, R., Eggarter, P., and Krasuk, J.-H. (1967). Détermination de diffusivités par la méthode du capillaire. Influence de l’écoulement du fluide autour du capillaire, Chimie et industrie-Génie Chimique 97, 1638–1645.
   Google Scholar
• Bird, R. B., Stewart, W. E., and Lightfoot, E. N. (2007). Transport Phenomena, revised 2nd ed., John Wiley & Sons, Inc., New York City, NY.
   Google Scholar
• Box, G. E. P., Hunter, W. G., and Hunter, J. S. (1978). Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building, John Wiley & Sons, Inc., New York City, NY.
   Google Scholar
• Bozeman, J. D., and Dalton, C. (1973). Numerical study of viscous flow in a cavity, Comput. Phys. 12, 348–363. doi: 10.1016/0021-9991(73)90157-5
   Google Scholar
• Broda, E. (1983). Ludwig Boltzmann: Man, Physicist, Philosopher, Gay, L., and Broda, E., German-to-English translators, Ox Bow Press, Woodbridge, CT.
   Google Scholar
• Burggraf, O. R. (1966). Analytical and numerical studies of the structure of steady separated flows, J. Fluid Mech. 24, 113–151. doi: 10.1017/S0022112066000545
   Web of Science ®Google Scholar
• Chang, H. N., Ryu, H. W., Park, D. H., Park, Y. S., and Park, J. K. (1987). Effect of external laminar channel flow on mass transfer in a cavity, Int. J. Heat Mass Transf. 30, 2137–2149. doi: 10.1016/0017-9310(87)90092-5
   Web of Science ®Google Scholar
• Chapman, S., and Cowling, T. G. (1953). The Mathematical Theory of Non-Uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction, and Diffusion in Gases, 2nd ed. (reprinted), Cambridge University Press, Cambridge, England. (Text sections pertinent to this study include Chapters 10 and 14, the history of the kinetic theory of gases, and a classified list of relevant theoretical papers.)
   Google Scholar
• Chilukuri, R., and Middleman, S. (1983). Circulation, diffusion, and reaction within a liquid trapped in a cavity, Chem. Eng. Commun. 22, 127–138. doi: 10.1080/00986448308940051
   Web of Science ®Google Scholar
• Crepeau, J. (2007). Josef Stefan: His life and legacy in the thermal sciences, Exp. Thermal Fluid Sci. 31, 795–803. doi: 10.1016/j.expthermflusci.2006.08.005
   Web of Science ®Google Scholar
• Crider, W. L. (1956). The use of diffusion coefficients in the measurement of vapor pressure, J. Am. Chem. Soc. 78, 924–925. doi: 10.1021/ja01586a015
   Web of Science ®Google Scholar
• Cussler, E. L. (2009). Diffusion: Mass Transfer in Fluid Systems, 3rd ed., Cambridge University Press, Cambridge, England.
   Google Scholar
• Duda, J. L., and Vrentas, J. S. (1971). Heat transfer in a cylindrical cavity, J. Fluid Mech. 45, 261–279. doi: 10.1017/S0022112071000041
   Web of Science ®Google Scholar
• Fang, L. C., Nicolaou, D., and Cleaver, J. W. (1999). Transient removal of a contaminated fluid from a cavity, Int. J. Heat Fluid Flow 20, 605–613. doi: 10.1016/S0142-727X(99)00050-8
   Web of Science ®Google Scholar
• Fang, L.-C., Nicolaou, D., and Cleaver, J. W. (2003). Numerical simulation of time-dependent hydrodynamic removal of a contaminated fluid from a cavity, Int. J. Numer. Meth. Fluids 42, 1087–1103. doi: 10.1002/fld.579
   Web of Science ®Google Scholar
• Fuller, E. N., Schettler, P. D., and Giddings, J. C. (1966). A new method for prediction of binary gas-phase diffusion coefficients, Ind. Eng. Chem. 58, 18–27. doi: 10.1021/ie50677a007
   Web of Science ®Google Scholar
• Gilliland, E. R. (1934). Diffusion coefficients in gaseous systems, Ind. Eng. Chem. 26, 681–685. doi: 10.1021/ie50294a020
   Google Scholar
• Goryunova, N. A., and Kuvshinskiĭ, E. V. (1948). Determination of the coefficients of diffusion in air of vapors of cyclohexane, chloroform, and acetone, Zhurnal Tekhnicheskoĭ Fiziki 18, 1421–1425. [A copy of the original Russian article was obtained through the Automatic Document Delivery Service (https://autodoc.fiz-karlsruhe.de) of the Fachinformationszentrum Karlsruhe (FIZ Karlsruhe-Leibniz Institute for Information Infrastructure), Eggenstein-Leopoldshafen, Germany (www.fiz-karlsruhe.de).]
   Google Scholar
• Green, D. W., and Perry, R. H. (Eds.) (2008). Perry’s Chemical Engineers’ Handbook, 8th ed., The McGraw-Hill Companies, Inc., New York City, NY.
   Google Scholar
• Heaton, C. J. (2008). On the appearance of Moffatt eddies in viscous cavity flow as the aspect ratio varies, Phys. Fluids 20, 103102-1–103102-11. doi: 10.1063/1.2994750
   Web of Science ®Google Scholar
• Heinzelmann, F. J., Wasan, D. T., and Wilke, C. R. (1965). Concentration profiles in a Stefan diffusion tube, Ind. Eng. Chem. Fund. 4, 55–61. doi: 10.1021/i160013a009
   Web of Science ®Google Scholar
• Himmelblau, D. M., and Riggs, J. B. (2004). Basic Principles and Calculations in Chemical Engineering, 7th ed., Prentice Hall Professional Technical Reference, Upper Saddle River, NJ.
   Google Scholar
• Holman, J. P. (2010). Heat Transfer, 10th ed., The McGraw-Hill Companies, Inc., New York City, NY.
   Google Scholar
• Horner, M., Metcalfe, G., Wiggins, S., and Ottino, J. M. (2002). Transport enhancement mechanisms in open cavities, J. Fluid Mech. 452, 199–229. doi: 10.1017/S0022112001006917
   Web of Science ®Google Scholar
• Iwatsu, R., Ishii, K., Kawamura, T., Kuwahara, K., and Hyun, J. M. (1989). Numerical simulation of three-dimensional flow structure in a driven cavity, Fluid Dyn. Res. 5, 173–189. doi: 10.1016/0169-5983(89)90020-8
   Web of Science ®Google Scholar
• Jarrett, E. L., and Sweeney, T. L. (1967). Mass transfer in rectangular cavities, AIChE J. 13, 797–800. doi: 10.1002/aic.690130438
   Web of Science ®Google Scholar
• Kang, I. S., and Chang, H. N. (1982). The effect of turbulence promoters on mass transfer—Numerical analysis and flow visualization, Int. J. Heat Mass Transf. 25, 1167–1181. doi: 10.1016/0017-9310(82)90211-3
   Web of Science ®Google Scholar
• Karaiskakis, G., and Gavril, D. (2004). Determination of diffusion coefficients by gas chromatography, J. Chromatogr. A 1037, 147–189. doi: 10.1016/j.chroma.2004.01.015
   PubMed Web of Science ®Google Scholar
• Khalid, K., Kahn, R. A., and Zain, S. M. (2012). Determination of diffusion coefficients and activation energy of selected organic liquids using reversed-flow gas chromatographic technique, Sains Malaysiana 41, 1109–1116. Retrieved from http://www.ukm.my/jsm/malay_journals/jilid41bil9_2012/Jilid41Bil9_2012ms1109-1116.html
   Web of Science ®Google Scholar
• Kimpton, D. D., and Wall, F. T. (1952). Determination of diffusion coefficients from rates of evaporation, J. Phys. Chem. 56, 715–717. doi: 10.1021/j150498a013
   Web of Science ®Google Scholar
• Koseff, J. R., and Street, R. L. (1984a). Visualization studies of a shear driven three-dimensional recirculating flow, J. Fluids Eng. 106, 21–29. doi: 10.1115/1.3242393
   Web of Science ®Google Scholar
• Koseff, J. R., and Street, R. L. (1984b). On end wall effects in a lid-driven cavity flow, J. Fluids Eng. 106, 385–389. doi: 10.1115/1.3243135
   Web of Science ®Google Scholar
• Koseff, J. R., and Street, R. L. (1984c). The lid-driven cavity flow: A synthesis of qualitative and quantitative observations, J. Fluids Eng. 106, 390–398. doi: 10.1115/1.3243136
   Web of Science ®Google Scholar
• Lee, C. Y., and Wilke, C. R. (1954). Measurements of vapor diffusion coefficient, Ind. Eng. Chem. 46, 2381–2387. doi: 10.1021/ie50539a046
   Web of Science ®Google Scholar
• Lide, D. R. (Ed.) (2004). CRC Handbook of Chemistry and Physics, 85th ed, CRC Press, Boca Ratón, FL.
   Google Scholar
• Lugg, G. A. (1968). Diffusion coefficients of some organic and other vapors in air, Anal. Chem. 40, 1072–1077. doi: 10.1021/ac60263a006
   Web of Science ®Google Scholar
• Markham, B. L., and Rosenberger, F. (1980). Velocity and concentration distribution in a Stefan diffusion tube, Chem. Eng. Commun. 5, 287–298. doi: 10.1080/00986448008935970
   Web of Science ®Google Scholar
• Marrero, T. R., and Mason, E. A. (1972). Gaseous diffusion coefficients, J. Phys. Chem. Ref. Data 1, 3–118. doi: 10.1063/1.3253094
   Google Scholar
• Marrero, T. R., and Mason, E. A. (1973). Correlation and prediction of gaseous diffusion coefficients, AIChE J. 19, 498–503. doi: 10.1002/aic.690190312
   Web of Science ®Google Scholar
• Mato, F., and Bueno, J. L. (1977). Medida de coeficientes de difusión molecular. Sistemas binarios en fase gaseosa. II. Método de presión variable, Anales de Química, Real Sociedad Española de Física y Química 73, 114–119.
   Google Scholar
• McBain, G. D., Suehrcke, H., and Harris, J. A. (2000). Evaporation from an open cylinder, Int. J. Heat Mass Transf. 43, 2117–2128. doi: 10.1016/S0017-9310(99)00284-7
   Web of Science ®Google Scholar
• Medina, J. L., and Ramírez, C. A. (2016). Theoretical and experimental estimation of binary gas diffusivities in a nonisothermal Stefan diffusion column, Chem. Eng. Commun. 203, 1625–1640. doi: 10.1080/00986445.2016.1223059
   Web of Science ®Google Scholar
• Mehta, U. B., and Lavan, Z. (1969). Flow in a two-dimensional channel with a rectangular cavity, J. Appl. Mech. 36, 897–901. doi: 10.1115/1.3564799
   Web of Science ®Google Scholar
• Meyer, J. P., and Kostin, M. D. (1975). Circulation phenomena in Stefan diffusion, Int. J. Heat Mass Transf. 18, 1293–1297. doi: 10.1016/0017-9310(75)90239-2
   Web of Science ®Google Scholar
• Mills, A. F., and Chang, B. H. (2013). Two-dimensional diffusion in a Stefan tube: The classical approach, Chem. Eng. Sci. 90, 130–136. doi: 10.1016/j.ces.2012.12.018
   Web of Science ®Google Scholar
• Mills, R. D. (1965). Numerical solutions of the viscous flow equations for a class of closed flows, J. R. Aeronaut. Soc. 69, 714–718. doi: 10.1017/S0368393100081463
   Web of Science ®Google Scholar
• Mitrovic, J. (1996). Remarks upon the contribution of J. Stefan to the understanding of diffusion processes, Int. J. Heat Mass Transf. 39, 218–220. doi: 10.1016/S0017-9310(96)85019-8
   Web of Science ®Google Scholar
• Mitrovic, J. (2012a). Josef Stefan and his evaporation-diffusion tube—The Stefan diffusion problem, Chem. Eng. Sci. 75, 279–281. doi: 10.1016/j.ces.2012.03.034
   Web of Science ®Google Scholar
• Mitrovic, J. (2012b). Corrigendum to “Josef Stefan and his evaporation-diffusion tube—The Stefan diffusion problem” [Chem. Eng. Sci. 75 (2012) 279-281], Chem. Eng. Sci. 80, 173. doi: 10.1016/j.ces.2012.06.046
   Web of Science ®Google Scholar
• Mitrovic, J. (2013). Jožef Stefan and the diffusion phenomena, In Jožef Stefan: His Scientific Legacy on the 175th Anniversary of His Birth, Crepeau, J. C., Ed., 82–136, Bentham Science Publishers, Sharjah, United Arab Emirates. doi: 10.2174/97816080547701130101
   Google Scholar
• Moffatt, H. K. (1964). Viscous and resistive eddies near a sharp corner, J. Fluid Mech. 18, 1–18. doi: 10.1017/S0022112064000015
   Web of Science ®Google Scholar
• Mohammad, H. H., Zain, S. M., Khan, R. A., and Khalid, K. (2014). Establishment of physicochemical measurements of water polluting substances via flow perturbation gas chromatography, Sains Malaysiana 43, 1915–1925. Retrieved from: http://www.ukm.my/jsm/malay_journals/jilid43bil12_2014/Jilid43Bil12_2014ms1915-1925.html
   Web of Science ®Google Scholar
• Nallasamy, M., and Krishna Prasad, K. (1977). On cavity flow at high Reynolds numbers, J. Fluid Mech. 79, 391–414. doi: 10.1017/S0022112077000214
   Web of Science ®Google Scholar
• Neufeld, P. D., Janzen, A. R., and Aziz, R. A. (1972). Empirical equations to calculate 16 of the transport collision integrals Ω(l,s)* for the Lennard-Jones (12-6) potential, J. Chem. Phys. 57, 1100–1102. doi: 10.1063/1.1678363
   Web of Science ®Google Scholar
• Núñez, G. A., and Sparrow, E. M. (1988). Models and solutions for isothermal and nonisothermal evaporation from a partially filled tube, Int. J. Heat Mass Transf. 31, 461–477. doi: 10.1016/0017-9310(88)90028-2
   Web of Science ®Google Scholar
• O’Brien, V. (1972). Closed streamlines associated with channel flow over a cavity, Phys. Fluids 15, 2089–2097. doi: 10.1063/1.1693840
   Web of Science ®Google Scholar
• Occhialini, J. M., and Higdon, J. J. L. (1992). Convective mass transport from rectangular cavities in viscous flow, J. Electrochem. Soc. 139, 2845–2855. doi: 10.1149/1.2068991
   Web of Science ®Google Scholar
• Pan, F., and Acrivos, A. (1967). Steady flows in rectangular cavities, J. Fluid Mech. 28, 643–655. doi: 10.1017/S002211206700237X
   Web of Science ®Google Scholar
• Poling, B. E., Prausnitz, J. M., and O’Connell, J. P. (2001). The Properties of Gases and Liquids, 5th ed., The McGraw-Hill Companies, Inc., New York City, NY.
   Google Scholar
• Pommersheim, J. M., and Ranck, B. A. (1973). Measurement of gaseous diffusion coefficients using the Stefan cell, Ind. Eng. Chem. Fund. 12, 246–250. doi: 10.1021/i160046a019
   Web of Science ®Google Scholar
• Pozrikidis, C. (1994). Shear flow over a plane wall with an axisymmetric cavity or a circular orifice of finite thickness, Phys. Fluids 6, 68–79. doi: 10.1063/1.868046
   Web of Science ®Google Scholar
• Prata, A. T., and Sparrow, E. M. (1985). Diffusion-driven nonisothermal evaporation, J. Heat Transfer 107, 239–242. doi: 10.1115/1.3247384
   Web of Science ®Google Scholar
• Prata, A. T., and Sparrow, E. M. (1986). Evaporation of water from a partially filled, cylindrical container to a forced convection air flow, Int. J. Heat Mass Transf. 29, 539–547. doi: 10.1016/0017-9310(86)90087-6
   Web of Science ®Google Scholar
• Pryde, J. A., and Pryde, E. A. (1967). A simple quantitative diffusion experiment, Phys. Educ. 2, 311–314. doi: 10.1088/0031-9120/2/6/001
   Google Scholar
• Rao, S. S., and Bennett, C. O. (1966). Radial effects in a Stefan diffusion tube, Ind. Eng. Chem. Fund. 5, 573–575. doi: 10.1021/i160020a027
   Web of Science ®Google Scholar
• Richardson, J. F. (1959). The evaporation of two-component liquid mixtures, Chem. Eng. Sci. 10, 234–242. doi: 10.1016/0009-2509(59)80058-0
   Web of Science ®Google Scholar
• Schlichting, H. (1955). Boundary Layer Theory, 1st English Edition, Kestin, J., German-to-English translator, Pergamon Press Ltd., London, England.
   Google Scholar
• Schwertz, F. A., and Brow, J. E. (1951). Diffusivity of water vapor in some common gases, J. Chem. Phys. 19, 640–646. doi: 10.1063/1.1748306
   Web of Science ®Google Scholar
• Shankar, P. N. (1993). The eddy structure in Stokes flow in a cavity, J. Fluid Mech. 250, 371–383. doi: 10.1017/S0022112093001491
   Web of Science ®Google Scholar
• Shankar, P. N., and Deshpande, M. D. (2000). Fluid mechanics in the driven cavity, Annu. Rev. Fluid Mech. 32, 93–136. doi: 10.1146/annurev.fluid.32.1.93
   Web of Science ®Google Scholar
• Shen, C., and Floryan, J. M. (1985). Low Reynolds number flow over cavities, Phys. Fluids 28, 3191–3202. doi: 10.1063/1.865366
   Web of Science ®Google Scholar
• Slattery, J. C., and Mhetar, V. R. (1997). Unsteady-state evaporation and the measurement of a binary diffusion coefficient, Chem. Eng. Sci. 52, 1511–1515. doi: 10.1016/S0009-2509(96)00507-6
   Web of Science ®Google Scholar
• Stefan, J. (1871). Über das Gleichgewicht und die Bewegung, insbesondere die Diffusion von Gasgemengen, Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Classe der Kaiserlichen Akademie der Wissenschaften Wien, 63(Abteilung II), 63–124. Retrieved from http://www.zobodat.at/publikation_series.php?id=7341
   Google Scholar
• Stefan, J. (1890). Ueber die Verdampfung und die Auflösung als Vorgänge der Diffusion, Ann. Phys. Chem. Neue Folge, 41, 725–747. doi: 10.1002/andp.18902771206
   Google Scholar
• Strnad, J. (2011). Jožef Stefan, master of transport phenomena, Europhys. News 42, 17–20. doi: 10.1051/epn/2011201
   Google Scholar
• Tighe, S., and Middleman, S. (1985). An experimental study of convection-aided removal of a contaminant from a cavity in a surface, Chem. Eng. Commun. 33, 149–157. doi: 10.1080/00986448508911166
   Web of Science ®Google Scholar
• Whitaker, S. (1991). Role of the species momentum equation in the analysis of the Stefan diffusion tube, Ind. Eng. Chem. Res. 30, 978–983. doi: 10.1021/ie00053a021
   Web of Science ®Google Scholar
• Wilke, C. R., and Lee, C. Y. (1955). Estimation of diffusion coefficients for gases and vapors, Ind. Eng. Chem. 47, 1253–1257. doi: 10.1021/ie50546a056
   Web of Science ®Google Scholar