Abstract
IN a recent communication Berry, Black and Enderby1 describe an interesting use of the Tchebichef polynomials to represent the thermodynamic steam tables of Keenan and Keyes. This was a preliminary description which will presumably be followed by more details and a tabulation of the actual expansion coefficients. However, based on this initial communication, it is apparent that these authors have done a particularly elegant job of reducing a lengthy tabulation to a relatively small number of expansion coefficients. It is the purpose of this communication to point out the possibility of even further reduction in the number of coefficients required to represent the thermodynamic data2.
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References
Berry, W. G., Black, G., and Enderby, J. A., Nature, 183, 598 (1959)
Pings, C. J., and Sage, B. H., Indust. Eng. Chem., 49, 1315, 1321 (1957).
Lanczos, C., “Tables of Chebyshev Polynomials”, Applied Mat. Series, No. 9 (Nat. Bur Stand., 1952).
Opfell, J. B., Pings, C. J., and Sage, B. H., “Equations of State for Hydrocarbons” (American Petroleum Institute, New York, 1959).
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PINGS, C. Polynomial Representation of Thermodynamic Tables. Nature 184, 444–445 (1959). https://doi.org/10.1038/184444b0
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DOI: https://doi.org/10.1038/184444b0
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