A RAPID AND CROSS-REGIONAL CALCULATION METHOD FOR THE THERMODYNAMIC PROPERTIES OF WATER AND STEAM USING A QUADRATIC SPLINE INTERPOLATION FUNCTION
The International Association for the Properties of Water and Steam Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam (IAPWS-IF97), which is widely applied to industrial calculation at present, can calculate the thermodynamic properties in a broad range. However, its calculation speed is still too slow for industrial application due to its complex formula. In addition, the thermodynamic surface (T, p) is divided into five sub-regions to improve calculation accuracy, which inevitably results in inconsistency of thermodynamic properties at the boundary between two adjacent sub-regions, which also increases the calculation time in order to determine the sub-region for selecting corresponding calculation formula. Based on the above reasons, this paper developed a rapid and cross-regional calculation method for water and stream using the spline interpolation function. We derived single-and double-grid spline interpolation models and analyzed their characteristics. The calculation results indicated that the double-grid model has higher accuracy than the single-grid model for the various test functions selected in this paper; thus, the double-grid model is used to develop rapid formulas for thermodynamic properties of water and steam. The results demonstrated that the spline interpolation function of thermodynamic property developed in this paper have higher accuracy for both single sub-region and boundary between two adjacent sub-regions of IAPWS-IF97 with faster calculating speed than IAPWS-IF97.
Bin An Xiao-Dong Wang Zhi-Xue Wang Xin-Xin Zhang Yuan-Yuan Duan
Department of Thermal Engineering, School of Mechanical Engineering, University of Science & Technol Department of Thermal Engineering, School of Mechanical Engineering, University of Science & Technol Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Tsinghua Universi
国际会议
The Ninth Asian Thermophysical Properties Conference(第九届亚洲热物理性能会议 ATPC 2010)
北京
英文
74-81
2010-10-19（万方平台首次上网日期，不代表论文的发表时间）