An evaluation of density corrections for estimating diffusivities in liquids and liquid mixtures

Chemical Engineering Science

Volumn 52, Issue 7, 1997, Pages 1097-1109

  Da Rocha, Sandro R P ^a   De Oliveira, José Vladimir ^a   Rajagopal, Krishnaswamy ^a  

^a NONE

Author keywords

Diffusivity; liquid mixtures; perturbation theory

Indexed keywords

DIFFUSIVITY; LIQUIDS; MIXTURES;

BINARY MIXTURES; CORRELATION METHODS; CURVE FITTING; DENSITY (SPECIFIC GRAVITY); FUNCTIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

CARNAHAN STARLING CORRELATION FUNCTIONS; HARD SPHERE FLUIDS; SPEEDS HARRIS CORRELATION;

DIFFUSION IN LIQUIDS;

EID: 0030927238     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(96)00456-3     Document Type: Article

References (59)

1. Andersen, H. C., Weeks, J. D. and Chandler, D. (1971) Relationship between the hard sphere fluid and fluids with realistic repulsive forces. Phys. Rev. A4, 1597-1607.
2. Anderson, D. K., Hall, J. R. and Babb, A. L. (1958) Mutual diffusion in non-ideal binary liquid mixtures. J. Phys. Chem. 62, 404-409.
3. Anderson, T. F., Abrams, D. S. and Greens, E. A. (1978) Evaluation of parameters for nonlinear thermodynamic models. A.I.Ch.E. J. 24, 20-29.
4. Bidlack, D. L. and Anderson, D. K. (1964) Mutual diffusion in nonideal, nonassociating liquid systems. J. Phys. Chem. 68, 3790-3794.
5. Bidlack, D. L., Kett, T. K., Kelly, C. M. and Anderson, D. K. (1969) Diffusion in the solvents hexane and carbon tetrachloride. J. Chem. Engng Data 14, 342-343.
6. Caldwell, C. S. and Babb, A. L. (1956) Diffusion in ideal binary liquid mixtures. J. Phys. Chem. 60, 51-56.
7. Calus, W. F. and Tyn, M. T. (1973) Temperature and concentration dependence of diffusion coefficient in benzene-n-heptane mixtures. J. Chem. Engng Data 18, 377-380.
8. Carnahan, N. F. and Starling, K. E. (1969) Equation of state for non-attracting rigid spheres. J. Chem. Phys. 51, 635-636.
9. Chandler, D. (1975) Rough hard sphere theory of the self-diffusion constant for molecular liquids. J. Chem. Phys. 62, 1358-1363.
10. Chapman, S. and Cowling, T. G. (1970) The Mathematical Theory of Non-Uniform Gases. Cambridge University Press, Cambridge, U.K.
11. Douglas, D. C. and McCall, D. W. (1958) Diffusion in paraffin hydrocarbons. J. Chem. Phys. 62, 1102-1107.
12. Erkey, C., Rodden, J. B. and Akgerman, A. (1990) A correlation for predicting diffusion coefficients in alkanes. Can. J. Chem. Engng 68, 661-665.
13. Erpenbeck, J. J. and Wood, W. W. (1991) Self-diffusion for the hard-sphere fluid. Phys. Rev. A43, 4254-4261.
14. Evans, D. F., Tominaga, T. and Davis, H. T. (1981) Tracer diffusion in polyatomic liquids. J. Chem. Phys. 74, 1298-1305.
15. Fishman, E. (1955) Self-diffusion in liquid n-pentane and n-heptane. J. Chem. Phys. 59, 469-472.
16. Grundke, E. W. and Henderson, D. (1972) Distribution functions of multi-component fluid mixtures of hard spheres. Molec. Phys. 24, 269-281.
17. Guo, C. J. and Kee, D. (1991) Effect of molecular size and free volume on diffusion in liquids. Chem. Engng Sci. 46, 2133-2141.
18. Hammond, B. R. and Stokes, R. H. (1956) Diffusion in binary liquid mixtures. Trans. Faraday Soc. 52, 781-786.
19. Handa, Y. P. and Benson, G. C. (1979) Volume changes on mixing two liquids: a review of the experimental techniques and literature data. Fluid Phase Equilibria 3, 185-249.
20. Harris, K. R. (1992) The self-diffusion coefficient and viscosity of the hard sphere fluid revisited: a comparison with experimental data for xenon, methane, ethane and trichloromethane. Molec. Phys. 77, 1153-1167.
21. Harris, K. R., Pua, C. K. N. and Dunlop, P. J. (1970) Mutual and tracer diffusion coefficients and frictional coefficients for the systems benzene-chlorobenzene, benzene-n-hexane, and benzene n-heptane at 25°C. J. Phys. Chem. 74, 3518-3529.
22. Harris, K. R., Lam, H. N., Raedt, E., Easteal, A. J., Price, W. E. and Woolf, L. A. (1990) The temperature and density dependence of the self-diffusion coefficient and the shear viscosity of liquid trichloromethane. Molec. Phys. 71, 1205-1221.
23. Harris, K. R., Alexander, J. J., Goscinska, T., Malhotra, R., Woolf, L. A. and Dymond, J. H. (1993) Temperature and density dependence of the self-diffusion coefficients of liquid n-octane and toluene. Molec. Phys. 78, 235-248.
24. Hayduk, W. and Buckley, W. D. (1972) Effect of molecular size and shape on diffusivity in dilute liquid solutions. Chem. Engng Sci. 27, 1997-2003.
25. Hirschfelder, J. O., Curtiss, C. F. and Bird, R. B. (1954) The Molecular Theory of Gases and Liquids. Wiley, New York, U.S.A.
26. Jalan, V. M., Tham, M. K. and Gubbins, K. E. (1972) Theory of diffusion of gases in protein solutions. Can. J. Chem. Engng 50, 85-88.
27. Jonas, J., Hasha, D. and Haung, S. G. (1980) Density effects on transport properties in liquid cyclohexane. J. Phys. Chem. 84, 109-112.
28. Kang, H. S., Lee, C. S., Ree, T. and Ree, F. H. (1985) A perturbation theory of classical equilibrium fluids. J. Chem. Phys. 82, 414-423.
29. Karger, N., Vardag, T. and Ludemann, H. D. (1990) Temperature dependence of self-diffusion in compressed monohydric alcohols. J. Chem. Phys. 93, 3437-3444.
30. Kelly, C. M., Wirth, G. B. and Anderson, D. K. (1971) Tracer and mutual diffusivities in the system chloroform-carbon tetrachloride at 25°C. J. Phys. Chem. 75, 3293-3296.
31. Kruger, G. J. and Weiss, R. (1970) Diffusionskonstanten eigner organischer Flussigkeiten. Z. Naturforsch. 25, 777-780.
32. Kulkarni, M. V., Allen, G. F. and Lyons, P. A. (1965) Diffusion in carbon tetrachloride-cyclohexane solutions. J. Phys. Chem. 69, 2491-2493.
33. Lee, L. L. and Levesque, D. (1973) Perturbation theory for mixtures of simple liquids. Molec. Phys. 26, 1351-1370.
34. Leffler, J. and Cullinan Jr, H. T. (1970) Variation of liquid diffusion coefficients with composition. Dilute ternary systems. Ind. Engng Chem. Fundam. 9, 88-93.
35. McCool, M. A., Collings, A. F. and Woolf, L. A. (1972) Pressure and temperature dependence of the self-diffusion of benzene. J. Chem. Soc. Faraday Trans. Instn, 68, 1489-1497.
36. Mansoori, G. A., Carnahan, N. F., Starling, K. E. and Leland Jr, T. W. (1971) Equilibrium thermodynamic properties of the mixture of hard spheres. J. Chem. Phys. 54, 1523-1525.
37. Meckl, S. and Zeidler, M. D. (1988) Self-diffusion measurements of ethanol and propanol. Molec. Phys. 63, 85-95.
38. Miyano, Y. and Masuoka, H. (1984) Equation of state based on the Weeks-Chandler-Andersen perturbation theory. Fluid Phase Equilibria 18, 131-146.
39. Nezbeda, I. (1993) Molecular-thermodynamic reference equations of state. Fluid Phase Equilibria 87, 237-253.
40. Prielmeier, F. X., Lang, E. W. and Ludemann, H. D. (1984) Pressure dependence of the self-diffusion in liquid trifluormethane. Molec. Phys. 52, 1105-1113.
41. Reed, T. M. and Gubbins, K. E. (1973) Applied Statistical Mechanics. McGraw-Hill Chemical Engineering Series, McGraw-Hill, New York, U.S.A.
42. Reid, R. C., Prausnitz, J. M. and Poling, B. E. (1987) The Properties of Gases and Liquids, 4th Edn. McGraw-Hill, New York, U.S.A.
43. Rodwin, L., Harpst, J. A. and Lyons, P. A. (1965) Diffusion in the system cyclohexane-benzene. J. Phys. Chem. 69, 2783-2785.
44. Sanni, S. A., Fell, C. J. D. and Hutchinson, H. P. (1971) Diffusion coefficients and densities for binary organic liquid mixtures. J. Chem. Engng Data 16, 424-429.
45. Sanni, S. A. and Hutchison, P. (1973) Diffusivities and densities for binary liquid mixtures. J. Chem. Engng Data 18, 317-322.
46. Saumon, D., Gabrier, G. and Weis, J. J. (1989) Application of hard sphere perturbation theory to a high-temperature binary mixture. J. Chem. Phys. 90, 7395-7402.
47. Schmid, A. G., Wappmann, S., Has, M. and Ludemann, H. D. (1991) Self-diffusion in the compressed fluid lower alkanes: methane, ethane, and propane. J. Chem. Phys. 94, 5643-5649.
48. Schrodt, I. B. and Davis, H. T. (1974) Kinetic theory of dense fluids. J. Chem. Phys. 61, 323-329.
49. Sherwood, T. K., Pigford, R. L. and Wilke, C. R. (1975) Mass Transfer. McGraw-Hill, New York. U.S.A.
50. Souza, L. E. S. and Ben-Amotz, D. (1993) Optimized perturbed hard sphere expressions for the structure and thermodynamics of Lennard-Jones fluids. Molec. Phys. 78, 137-149.
51. Speedy, R. J. (1987) Diffusion in the hard sphere fluid. Molec. Phys. 62, 509-515.
52. Speedy, R. J., Prielmeier, F. X., Vardag, T., Lang, E. W. and Ludemann, H. D. (1989) Diffusion in simple fluids. Molec. Phys. 66, 577-590.
53. Sun, T. F., Bleazard, J. and Teja, A. S. (1994) A method for the prediction of the transport properties of dense fluids: application to liquid n-alkanes. J. Phys. Chem. 98, 1306-1310.
54. Tham, M. K. and Gubbins, K. E. (1971) Kinetic theory of multicomponent dense fluid mixtures of rigid spheres. J. Chem. Phys. 55, 268-279.
55. Tham, M. K. and Gubbins, K. E. (1972) Effect of salts on the diffusion of dissolved non-electrolytes. J. Chem. Soc. Faraday Trans. Instn 68, 1339-1346.
56. Verlet, L. and Weis, J. J. (1972) Equilibrium theory of simple liquids. Phys. Rev. A5, 939-952.
57. Weeks, J. D., Chandler, D. and Andersen, H. C. (1971) Role of repulsive forces in determining the equilibrium structure of simple liquids. J. Chem. Phys. 54, 5237-5247.
58. Wilhelm, E. and Battino, R. (1971) Estimation of Lennard-Jones (6,12) pair potential parameters from gas solubility data. J. Chem. Phys. 55, 4012-4017.
59. Wong, C. F. and Hayduk, W. (1990) Correlations for prediction of molecular diffusivities in liquids at infinite dilution. Can. J. Chem. Engng 68, 849-859.