PR氣體狀態(tài)方程的顯式化
發(fā)布時(shí)間:2018-08-11 11:14
【摘要】:基于立方型狀態(tài)方程形式及數(shù)值算法,采用數(shù)值計(jì)算方法中的牛頓法、線性插值法、二次插值法、多重迭代法進(jìn)行立方型狀態(tài)方程的顯式化公式推導(dǎo),將PR氣體狀態(tài)方程進(jìn)行簡化和驗(yàn)證,提出了顯式化PR氣體狀態(tài)方程。該方程無需迭代,形式簡單,既可以采用手工計(jì)算,也可以采用電子表格或任意編程語言計(jì)算,明顯降低了對化工或油氣專業(yè)人員計(jì)算機(jī)編程及數(shù)值算法等水平的要求。使用上百組數(shù)據(jù)對計(jì)算結(jié)果的精確度和計(jì)算時(shí)間進(jìn)行驗(yàn)證,結(jié)果表明:與迭代方法相比,顯式化PR氣體狀態(tài)方程計(jì)算簡單,相對誤差控制在10-5之內(nèi),計(jì)算時(shí)間僅是迭代算法的1/10,有利于提高天然氣管網(wǎng)的模擬計(jì)算效率。
[Abstract]:Based on the form of cubic equation of state and numerical algorithm, the explicit formula of cubic equation of state is derived by Newton method, linear interpolation method, quadratic interpolation method and multiple iteration method. The equation of state for PR gas is simplified and verified, and an explicit equation of state for PR gas is proposed. The equation does not need iteration and has a simple form. It can be calculated either by hand or by spreadsheet or arbitrary programming language. The requirement of computer programming and numerical algorithm for chemical engineering or oil and gas professionals is obviously reduced. Hundreds of sets of data are used to verify the accuracy and time of calculation. The results show that the explicit PR gas equation of state is simpler than the iterative method, and the relative error is controlled within 10-5. The computation time is only 1 / 10 of that of the iterative algorithm, which is helpful to improve the efficiency of simulation calculation of natural gas network.
【作者單位】: 中國石化北海液化天然氣有限責(zé)任公司;
【基金】:中國石油化工股份有限公司LNG資助項(xiàng)目“廣西液化天然氣(LNG)”,702081B0712
【分類號】:TE832.2
,
本文編號:2176838
[Abstract]:Based on the form of cubic equation of state and numerical algorithm, the explicit formula of cubic equation of state is derived by Newton method, linear interpolation method, quadratic interpolation method and multiple iteration method. The equation of state for PR gas is simplified and verified, and an explicit equation of state for PR gas is proposed. The equation does not need iteration and has a simple form. It can be calculated either by hand or by spreadsheet or arbitrary programming language. The requirement of computer programming and numerical algorithm for chemical engineering or oil and gas professionals is obviously reduced. Hundreds of sets of data are used to verify the accuracy and time of calculation. The results show that the explicit PR gas equation of state is simpler than the iterative method, and the relative error is controlled within 10-5. The computation time is only 1 / 10 of that of the iterative algorithm, which is helpful to improve the efficiency of simulation calculation of natural gas network.
【作者單位】: 中國石化北海液化天然氣有限責(zé)任公司;
【基金】:中國石油化工股份有限公司LNG資助項(xiàng)目“廣西液化天然氣(LNG)”,702081B0712
【分類號】:TE832.2
,
本文編號:2176838
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