Measurement of Diffusion Coefficients of Air in Silicone Oil and in Hydraulic Oil

Abstract

Abstract: A piston-cylinder apparatus was established to measure the solubility and diffusivity of air in dimethyl silicone oils and in hydraulic oils based on the PVT state equation of air and the solution of unsteady one-dimensional diffusion equation.The measured diffusivity-temperature relation can be well fitted by the Arrhenius equation for engineering applications.The correlation between the solute diffusivity D and solvent viscosity μ is examined.In terms of Eyring's activation theory,the activation in the air-silicone-oil diffusion process is quite different from that in the momentum transport of the silicone oil:the activation entropy of the former is positive while that of latter is negative.However,the activation enthalpies of the two processes are in the same order of magnitude,which leads to the observation that Dμ/T is roughly constant.

Key words: air, silicone oil, hydraulic oil, diffusion coefficient, viscosity

摘要： A piston-cylinder apparatus was established to measure the solubility and diffusivity of air in dimethyl silicone oils and in hydraulic oils based on the PVT state equation of air and the solution of unsteady one-dimensional diffusion equation.The measured diffusivity-temperature relation can be well fitted by the Arrhenius equation for engineering applications.The correlation between the solute diffusivity D and solvent viscosity μ is examined.In terms of Eyring's activation theory,the activation in the air-silicone-oil diffusion process is quite different from that in the momentum transport of the silicone oil:the activation entropy of the former is positive while that of latter is negative.However,the activation enthalpies of the two processes are in the same order of magnitude,which leads to the observation that Dμ/T is roughly constant.

关键词: air, silicone oil, hydraulic oil, diffusion coefficient, viscosity

DING Chuan, FAN Yurun. Measurement of Diffusion Coefficients of Air in Silicone Oil and in Hydraulic Oil[J]. , 2011, 19(2): 205-211.

丁川, 范毓润. Measurement of Diffusion Coefficients of Air in Silicone Oil and in Hydraulic Oil[J]. , 2011, 19(2): 205-211.

References

1 Wang, J., Gong, G.F., Yang, H.Y., “Control of bulk modulus of oil in hydraulic systems”, In:International Conference on Advanced Intelligent Mechatronics, 1390-1395, Xi'an (2008).
2 Guo, G.Z., Fan, Y.R., Jia, F.C., “Solubility of air in dimethyl silicone and hydraulic oils”, Acta Phys. Chem. Sin., 24 (7), 1225-1232 (2008). (in Chinese)
3 Hayward, A.T.J., “Aeration in hydraulic systems-Its assessment and control”, In:Proceeding of Oil Hydraulic Conference, IMechE, 216-224 (1960).
4 Charati, S.G., Stern, S.A., “Diffusion of gases in silicone polymers:molecular dynamics simulation”, Macromolecules, 31 (16), 5529-5535 (1998).
5 Riazi, M.R., Whitson, C.H., “Estimating diffusion coefficients of dense fluids”, Ind. Eng. Chem. Res., 32 (12), 3081-3088 (1993).
6 Riazi, M.R., “A new method for experimental measurement of diffusion coefficient in reservoir fluids”, J. Petro. Sci. Eng., 14 (3/4), 235-250 (1996).
7 Zhang, Y.P., Hyndman, C.L., Maini, B.B., “Measurement of gas diffusivity in heavy oils”, J. Petro. Sci. Eng., 25 (1/2), 37-47 (2000).
8 Glasstone, S., Laidler, K.J., Eyring, H., The Theory of Rate Processes, McGraw-Hill Inc., London (1941).
9 Fan, Y.R., Guo, G.Z., “Instrument of measuring the solubility of gases in liquids”, CN Pat., 1945275A (2006).
10 Poling, B.E., Prausnitz, J.M., O'Connell, J.P., The Properties of Gases and Liquids, 5th edition, McGraw-Hill Inc., London (2001).
11 Ferrell, R.T., Himmelblau, D.M., “Diffusion coefficients of nitrogen and oxygen in water”, J. Chem. Eng. Data, 12 (1), 111-115 (1967).
12 Broecker, W.S., Peng, T.H., “Gas exchange rates between air and sea”, Tellus, 26 (1/2), 21-35 (1974).
13 Bird, R.B., Stewart, W.E., Lightfoot, E.N., Transport Phenomena, 2nd edition, John Wiley & Sons, Inc., New York (2002).
14 Hoffman, J.D., Numerical Methods for Engineers and Scientists, McGraw-Hill Inc., New York (1992).
15 Wilke, C.R., Chang, P., “Correlation of diffusion coefficients in dilute solutions”, AIChE J., 1 (2), 264-270 (1955).

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