%0 Journal Article %1 Kretzschmar2007 %A Kretzschmar, H.-J. %A Cooper, J. R. %A Dittmann, A. %A Friend, D. G. %A Gallagher, J. S. %A Harvey, A. H. %A Knobloch, K. %A Mares, R. %A Miyagawa, K. %A Okita, N. %A Stöcker, I. %A Wagner, W. %A Weber, I. %D 2007 %I ASME %J Journal of Engineering for Gas Turbines and Power %K water 2007 equation-of-state %N 1 %P 294-303 %R 10.1115/1.2181598 %T Supplementary Backward Equations T(p,h), v(p,h), and T(p,s), v(p,s) for the Critical and Supercritical Regions (Region 3) of the Industrial Formulation IAPWS-IF97 for Water and Steam %U http://dx.doi.org/10.1115/1.2181598 %V 129 %X In modeling advanced steam power cycles, thermodynamic properties as functions of pressure and enthalpy (p,h) or pressure and entropy (p,s) are required in the critical and supercritical regions (region 3 of IAPWS-IF97). With IAPWS-IF97, these calculations require cumbersome two-dimensional iteration of temperature T and specific volume v from (p,h) or (p,s). While these calculations in region 3 are not frequently required, the computing time can be significant. Therefore, the International Association for the Properties of Water and Steam (IAPWS) adopted backward equations for T(p,h), v(p,h), T(p,s), and v(p,s) in region 3, along with boundary equations for the saturation pressure as a function of enthalpy, p3sat(h), and of entropy, p3sat(s). Using the new equations, two-dimensional iteration can be avoided. The numerical consistency of temperature and specific volume obtained in this way is sufficient for most uses. This paper summarizes the need and the requirements for these equations and gives complete numerical information. In addition, numerical consistency and computational speed are discussed.

@article{Kretzschmar2007, abstract = {In modeling advanced steam power cycles, thermodynamic properties as functions of pressure and enthalpy (p,h) or pressure and entropy (p,s) are required in the critical and supercritical regions (region 3 of IAPWS-IF97). With IAPWS-IF97, these calculations require cumbersome two-dimensional iteration of temperature T and specific volume v from (p,h) or (p,s). While these calculations in region 3 are not frequently required, the computing time can be significant. Therefore, the International Association for the Properties of Water and Steam (IAPWS) adopted backward equations for T(p,h), v(p,h), T(p,s), and v(p,s) in region 3, along with boundary equations for the saturation pressure as a function of enthalpy, p3sat(h), and of entropy, p3sat(s). Using the new equations, two-dimensional iteration can be avoided. The numerical consistency of temperature and specific volume obtained in this way is sufficient for most uses. This paper summarizes the need and the requirements for these equations and gives complete numerical information. In addition, numerical consistency and computational speed are discussed. }, added-at = {2011-01-19T18:06:37.000+0100}, author = {Kretzschmar, H.-J. and Cooper, J. R. and Dittmann, A. and Friend, D. G. and Gallagher, J. S. and Harvey, A. H. and Knobloch, K. and Mare\v{s}, R. and Miyagawa, K. and Okita, N. and St\"{o}cker, I. and Wagner, W. and Weber, I.}, biburl = {https://www.bibsonomy.org/bibtex/297c97c2ecf32804ef021272eb0d93590/thorade}, description = {Supplementary Backward Equations T(p,h), v(p,h), and T(p,s), v(p,s) for the Critical and Supercritical Regions (Region 3) of the Industrial Formulation IAPWS-IF97 for Water and Steam}, doi = {10.1115/1.2181598}, interhash = {5c589131da1a016c3249ed9540f568a1}, intrahash = {97c97c2ecf32804ef021272eb0d93590}, journal = {Journal of Engineering for Gas Turbines and Power}, keywords = {water 2007 equation-of-state}, number = 1, pages = {294-303}, publisher = {ASME}, timestamp = {2011-01-19T18:06:37.000+0100}, title = {Supplementary Backward Equations T(p,h), v(p,h), and T(p,s), v(p,s) for the Critical and Supercritical Regions (Region 3) of the Industrial Formulation IAPWS-IF97 for Water and Steam}, url = {http://dx.doi.org/10.1115/1.2181598}, volume = 129, year = 2007 }