Abstract
The thermal effects for a compressible viscous flow in a capillary have been calculated by solving the equation of energy, where a parabolic profile is assumed for the axial flow velocity. It is shown that, in general, the temperature changes are small (a few millikelvins), consistent with the current assumption of an isothermal flow, except in the case of a critical, i.e., very compressible, fluid where the cooling can be substantial. This effect is demonstrated numerically on the basis of a flow of ethylene in nearly critical circumstances.
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H. R. van den Berg, C. A. ten Seldam, and P. S. van der Gulik, J. Fluid Mech. 246:1 (1993).
R. K. Prud'homme, T. W. Chapman, and J. R. Bowen, Appl. Sci. Res. 43:67 (1986).
H. C. Brinkman, Appl. Sci. Res. A 2:120 (1951).
R. Siegel, E. M. Sparrow, and T. M. Hallman, Appl. Sci. Res. A 7:386 (1958).
H. R. van den Berg, Thesis (University of Amsterdam, Amsterdam, 1977).
H. R. van den Berg, C. A. ten Seldam, and P. S. van der Gulik, Physica 167A:157 (1990).
J. Kestin and K. Pilarczyk, Trans. Am. Soc. Mech. Eng. 76:987 (1954).
J. Kestin and H. E. Wang, Trans. Am. Soc. Mech. Eng. 79:197 (1957).
J. Kestin and W. Leidenfrost, Physica 25:1033 (1959).
G. Guiochon and C. L. Guillemin, Quantitative Gas Chromatography, Journal of Chromatography Library, Vol. 42 (Elsevier Science, Amsterdam, 1988).
W. M. Madigosky, J. Chem. Phys. 46:4441 (1967).
S. M. Karim and L. Rosenhead, Rev. Mod. Phys. 24:108 (1952).
H. L. Langhaar, J. Appl. Mech. 9 Trans. Am. Soc. Mech. Eng. 64:A-55 (1942).
R. W. Hornbeck, Appl. Sci. Res. A 13:224 (1964).
P. M. Holland, B. E. Eaton, and H. J. M. Hanley, J. Phys. Chem. Ref. Data 12:917 (1983).
R. T. Jacobsen, M. Jahangiri, R. B. Stewart, R. D. McCarty, J. M. H. Levelt Sengers, H. J. White, J. V. Sengers, and G. A. Olchowy, Ethylene (Ethene), International Thermodynamic Tables of the Fluid State, Vol. 10 (Blackwell Scientific, Oxford, 1988).
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Paper dedicated to Professor Joseph Kestin.
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van den Berg, H.R., ten Seldam, C.A. & van der Gulik, P.S. Thermal effects in compressible viscous flow in a capillary. Int J Thermophys 14, 865–892 (1993). https://doi.org/10.1007/BF00502113
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DOI: https://doi.org/10.1007/BF00502113