R32热力学性质计算模型及其分析

doi:10.11949/j.issn.0438-1157.20181528

摘要/Abstract

摘要：

提出了R32制冷剂在饱和线(?130~78℃，0.00013~5.76 MPa)范围内饱和蒸气压、液体密度等关联式的计算模型，在此基础上推导了蒸发潜热的计算模型；建立了描述饱和气体线上(?130~78℃，0.00013~5.76 MPa)及过热区(过热度为100℃)范围内描述P-v-T关系的状态方程；在上述模型的基础上推导得到了饱和气体线及过热区范围内焓、熵、比热容的计算模型。将模型计算结果与REFPROP9.0数据源、已发表的状态方程及公开实验数据对比，各关联式计算模型的平均相对偏差均小于0.16%，最大相对偏差不超过3.7%，与已有状态方程和公开数据对比偏差小于8.7%；基于状态方程和热力学关系式推导得到的焓、熵、比热容的计算模型的平均相对偏差均小于5.2%，最大相对偏差不超过9.1%。

关键词: 热力学性质, 焓, 熵, 状态方程, R32制冷剂, 模型

Abstract:

The calculation model of the saturated vapor pressure and liquid density of R32 refrigerant in the saturation line (?130—78°C, 0.00013—5.76 MPa) is proposed. Based on this, the calculation model of latent heat of evaporation is derived. The state equation for P-v-T relationship in saturated line and superheated zone was established. Based on above model, the calculation models of enthalpy, entropy and specific heat capacity in saturated line and superheated region are obtained. The average relative errors of correlation models are less than 0.16% and maximum relative errors don t exceed 3.7% compared with data from REFPROP 9.0. The deviation of state equation is less than 8.7% compared with published equation and data. The average errors of enthalpy, entropy and specific heat capacity models derived from state equation and thermodynamic relation are less than 5.2%, and maximum relative errors of all calculation models are less than 9.1%.

Key words: thermal performance, enthalpy, entropy, state equation, R32 refrigerant, model

中图分类号:

邱琳祯, 谷波, 缪梦华. R32热力学性质计算模型及其分析[J]. 化工学报, 2019, 70(6): 2075-2082.

Linzhen QIU, Bo GU, Menghua MIAO. Calculation model and analysis of thermodynamic properties of R32 refrigerant[J]. CIESC Journal, 2019, 70(6): 2075-2082.

图/表 14

表1 式(1)~式(3)各系数值

Table 1 Values of coefficients in Eq.(1)—Eq.(3)

系数	式(1)	式(2)	式(3)
a	23.5107	509.4566	6.759950×10^?1
b	?3733.117	?1729.938	?2.153509×10^?3
c	?2.129990×10^?2	?9363.962	9.661203×10^?6
d	2.783929×10^?5	6077.433	?8.230860×10^?9
e	?1.173602	?2894.469	—
f	?93.47687	8568.072	?802.2875
g	—	587.3774	—

表2 状态方程式(4)各系数值

Table 2 Values of coefficients in Eq.(4)

系数	i=2	i=3	i=4	i=5
A_i	?3.43812×10^?3	1.03669×10^?5	?5.24243×10^?8	2.19091×10^?10
B_i	4.14097×10^?6	?1.69275×10^?8	1.18362×10^?10	?5.27455×10^?13
C_i	?7.60530×10^?2	2.02514×10^?4	9.03241×10^?7	?7.02000×10^?9

表3 式(1)~式(3)、式(14)计算模型精度

Table 3 Errors of Eq.(1)—Eq.(3), Eq.(14)

公式	AARD/%	MARD/%
式(1)	0.006803	0.10441
式(2)	0.03038	0.335465
式(3)	0.011079	0.059424
式(14)	0.14306	0.91633

图1 饱和线上P s -t、r-t偏差分布

Fig.1 Error of P s -t and r-t on saturated line

图2 饱和线上v-t偏差分布

Fig.2 Error of v-t on saturated line

表4 状态方程式(4)计算精度

Table 4 Errors of Eq.(4)

类型	区域	AARD/%	MARD/%
已知温度、比容求压力	饱和线	0.08	0.19
已知温度、比容求压力	过热区	0.01	0.08
已知温度、压力求比容	饱和线	0.17	3.63
已知温度、压力求比容	过热区	0.01	0.08

图3 饱和线上比容计算结果比较

Fig.3 Comparison of specific volume on saturated lines

图4 压力计算结果与公开数据[21,22,23,24]比较

Fig.4 Comparison between pressure results and published data[21,22,23,24]

图5 比容计算结果与公开数据[21,22,23,24]比较

Fig.5 Comparison between specific volume results and published data[21,22,23,24]

表5 式(4)计算结果与已发表数据对比

Table 5 Deviation of Eq.(4) and published data

Ref.	压力计算结果		比容计算结果
Ref.	AARD/%	MARD/%	AARD/%	MARD/%
[21]	0.2045	0.5201	0.2579	0.5822
[22]	0.1363	0.2992	0.1748	0.3749
[23]	0.0780	0.2547	0.1011	0.3306
[24]	0.0161	0.0551	0.0222	0.0657

图6 饱和线上h-t偏差分布

Fig.6 Error of h-t on saturated line

图7 饱和线上s-t偏差分布

Fig.7 Error of s-t on saturated line

图8 饱和线上cv-t偏差分布

Fig.8 Error of cv-t on saturated line

表6 推导式(7)、式(10)、式(11)计算精度

Table 6 Errors of Eq.(7)， Eq.(10)，Eq.(11)

公式	饱和线		过热区
公式	AARD/%	MARD/%	AARD/%	MARD/%
式(7)	5.1667	9.094	1.2177	4.485
式(10)	0.5921	4.297	0.2754	3.148
式(11)	0.2755	1.941	0.1327	1.433

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