A new method is proposed for rapid and accurate calculation of steam properties in the regions of the state plane of greatest importance to the steam power industry. The method makes direct use of the derivatives of that Helmholtz function that is the best available wide-ranging scientific formulation of the properties of steam. It is rapid because, with a six-term Taylor series expansion, it uses property values and derivatives evaluated once and for all from the Helmholtz function and stored in tables pertaining to an optimized state plane grid configuration. The method eliminates the need for iterative property calculations and is amenable to any region of the state plane. For properties in the ranges of temperature from 0 to 800°C and pressure from 0 to 100 MPa the core memory requirement for three functions of any given pair of independent properties is less than 1 Mb. With this memory allocation it is possible everywhere in the stated range to satisfy the specific volume and enthalpy tolerances specified by the International Association for the Properties of Water and Steam. An optimized formulation of the method is demonstrated in this paper for enthalpy, entropy, and volume functions of pressure and temperature in the superheat region.
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April 1997
Research Papers
A Tabular Taylor Series Expansion Method for Fast Calculation of Steam Properties
K. Miyagawa,
K. Miyagawa
University of British Columbia, Vancouver, British Columbia, Canada
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P. G. Hill
P. G. Hill
University of British Columbia, Vancouver, British Columbia, Canada
Search for other works by this author on:
K. Miyagawa
University of British Columbia, Vancouver, British Columbia, Canada
P. G. Hill
University of British Columbia, Vancouver, British Columbia, Canada
J. Eng. Gas Turbines Power. Apr 1997, 119(2): 485-491 (7 pages)
Published Online: April 1, 1997
Article history
Received:
August 22, 1996
Online:
November 19, 2007
Citation
Miyagawa, K., and Hill, P. G. (April 1, 1997). "A Tabular Taylor Series Expansion Method for Fast Calculation of Steam Properties." ASME. J. Eng. Gas Turbines Power. April 1997; 119(2): 485–491. https://doi.org/10.1115/1.2815600
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