• •
杨宇帆1,2(), 罗春欢1,2,3(), 赵佳辉1, 何沐然1, 郎林4, 李泽祥1, 周春廷1
收稿日期:
2024-05-31
修回日期:
2024-07-22
出版日期:
2024-07-23
通讯作者:
罗春欢
作者简介:
杨宇帆(2000—),男,硕士研究生,m202210154@xs.ustb.edu.cn
基金资助:
Yufan YANG1,2(), Chunhuan LUO1,2,3(), Jiahui ZHAO1, Muran HE1, lin LANG4, Zexiang LI1, Chunting ZHOU1
Received:
2024-05-31
Revised:
2024-07-22
Online:
2024-07-23
Contact:
Chunhuan LUO
摘要:
随着氢燃料电池产业加速发展,其低温余热(约70℃)利用成为了急需解决的问题,而传统的LiBr/H2O工质对的发生温度过高无法利用较低品位的热能以及低温下易结晶,因此提出了新型低温工质对R1336mzz(Z)/TEGDME,并进行了饱和蒸气压、密度、黏度、比热容的测量,通过NRTL模型计算了其混合焓和比焓。使用最小二乘法对以上数据均进行了回归,实验值与拟合值的相关系数的平方均大于0.999,吻合较好,可使用拟合公式进行新型低温工质对的余热制冷热力循环的设计计算。相较LiBr/H2O工质对,低温工质对R1336mzz(Z)/TEGDME的发生温度降低了约12℃,黏度降低了约30%,可以利用低温燃料电池余热制冷,具有很强的实际应用意义。
中图分类号:
杨宇帆, 罗春欢, 赵佳辉, 何沐然, 郎林, 李泽祥, 周春廷. 低温工质对R1336mzz(Z)/TEGDME的饱和蒸气压、密度、黏度、比热容及比焓[J]. 化工学报, DOI: 10.11949/0438-1157.20240595.
Yufan YANG, Chunhuan LUO, Jiahui ZHAO, Muran HE, lin LANG, Zexiang LI, Chunting ZHOU. Saturated vapor pressure, density, viscosity, specific heat capacity and specific enthalpy of R1336mzz(Z)/TEGDME working pair[J]. CIESC Journal, DOI: 10.11949/0438-1157.20240595.
试剂 | 纯度 | 生产厂家 |
---|---|---|
R1336mzz(Z) | ≥99% | 上海锐一 |
TEGDME | ≥99% | 阿拉丁 |
表1 实验用试剂详细数据
Table 1 Detailed information of experimental reagents
试剂 | 纯度 | 生产厂家 |
---|---|---|
R1336mzz(Z) | ≥99% | 上海锐一 |
TEGDME | ≥99% | 阿拉丁 |
T/K | p/kPa | T/K | p/kPa | T/K | p/kPa | T/K | p/kPa | T/K | p/kPa |
---|---|---|---|---|---|---|---|---|---|
w=55% | w=60% | w=65% | w=70% | w=75% | |||||
294.95 302.95 312.35 323.35 333.45 343.05 | 19.44 28.42 43.93 68.51 98.5 134.86 | 295.75 303.35 313.15 322.95 333.05 342.15 347.35 | 18.13 26.04 38.8 57.11 83.45 113.71 132.48 | 295.15 303.85 313.75 323.95 334.35 344.25 352.95 | 15.42 23.62 35.62 52.78 77.9 107.56 139.76 | 295.75 303.45 312.65 322.15 333.35 343.25 353.75 | 14.08 20.35 30.42 44.03 67.17 93.62 130.89 | 295.75 304.85 314.65 325.05 333.45 344.15 354.95 356.65 | 12.37 18.77 29.03 42.84 60.22 86.4 121 128.3 |
表2 R1336mzz(Z)/TEGDME工质对的饱和蒸气压
Table 2 Saturated vapor pressure of R1336mzz(Z)/TEGDME system
T/K | p/kPa | T/K | p/kPa | T/K | p/kPa | T/K | p/kPa | T/K | p/kPa |
---|---|---|---|---|---|---|---|---|---|
w=55% | w=60% | w=65% | w=70% | w=75% | |||||
294.95 302.95 312.35 323.35 333.45 343.05 | 19.44 28.42 43.93 68.51 98.5 134.86 | 295.75 303.35 313.15 322.95 333.05 342.15 347.35 | 18.13 26.04 38.8 57.11 83.45 113.71 132.48 | 295.15 303.85 313.75 323.95 334.35 344.25 352.95 | 15.42 23.62 35.62 52.78 77.9 107.56 139.76 | 295.75 303.45 312.65 322.15 333.35 343.25 353.75 | 14.08 20.35 30.42 44.03 67.17 93.62 130.89 | 295.75 304.85 314.65 325.05 333.45 344.15 354.95 356.65 | 12.37 18.77 29.03 42.84 60.22 86.4 121 128.3 |
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
0 | -3.637166 | -19.79008 | 258.9322594 | |
1 | 52.185793 | -1709.068 | 151.1888188 | |
2 | -119.9719 | 1192.7583 | 213.5228981 | 0.99999 |
3 | 127.00578 | -712.2842 | 213.9228973 | |
4 | -49.20176 | 6.0767626 | 385.3963235 |
表3 饱和蒸气压拟合系数
Table 3 Regression parameters of saturated vapor pressure
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
0 | -3.637166 | -19.79008 | 258.9322594 | |
1 | 52.185793 | -1709.068 | 151.1888188 | |
2 | -119.9719 | 1192.7583 | 213.5228981 | 0.99999 |
3 | 127.00578 | -712.2842 | 213.9228973 | |
4 | -49.20176 | 6.0767626 | 385.3963235 |
T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | ||
---|---|---|---|---|---|---|---|---|---|---|---|
w=60% | w=65% | w=75% | w=75% | w=80% | |||||||
299.25 | 1.1362 | 298.75 | 1.121 | 298.75 | 1.1064 | 298.65 | 1.093 | 298.65 | 1.0794 | ||
304.25 | 1.1306 | 303.95 | 1.116 | 303.85 | 1.1012 | 304.05 | 1.088 | 303.95 | 1.0752 | ||
309.25 | 1.125 | 309.15 | 1.1104 | 308.95 | 1.0956 | 308.85 | 1.0836 | 309.45 | 1.0698 | ||
314.95 | 1.1186 | 314.15 | 1.1044 | 313.75 | 1.091 | 314.35 | 1.078 | 314.65 | 1.0648 | ||
318.75 | 1.1142 | 318.95 | 1.099 | 319.05 | 1.085 | 319.05 | 1.0726 | 318.95 | 1.0598 | ||
323.45 | 1.109 | 324.35 | 1.0926 | 323.65 | 1.0806 | 324.65 | 1.0672 | 323.95 | 1.0544 | ||
329.95 | 1.1004 | 329.75 | 1.0862 | 329.95 | 1.0738 | 329.15 | 1.062 | 329.75 | 1.0484 | ||
334.75 | 1.0946 | 334.35 | 1.0806 | 334.95 | 1.068 | 334.75 | 1.0564 | 334.45 | 1.0436 |
表4 R1336mzz(Z)/TEGDME工质对的密度
Table 4 Density of R1336mzz(Z)/TEGDME system
T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | T/K | ρ/( g/cm3) | ||
---|---|---|---|---|---|---|---|---|---|---|---|
w=60% | w=65% | w=75% | w=75% | w=80% | |||||||
299.25 | 1.1362 | 298.75 | 1.121 | 298.75 | 1.1064 | 298.65 | 1.093 | 298.65 | 1.0794 | ||
304.25 | 1.1306 | 303.95 | 1.116 | 303.85 | 1.1012 | 304.05 | 1.088 | 303.95 | 1.0752 | ||
309.25 | 1.125 | 309.15 | 1.1104 | 308.95 | 1.0956 | 308.85 | 1.0836 | 309.45 | 1.0698 | ||
314.95 | 1.1186 | 314.15 | 1.1044 | 313.75 | 1.091 | 314.35 | 1.078 | 314.65 | 1.0648 | ||
318.75 | 1.1142 | 318.95 | 1.099 | 319.05 | 1.085 | 319.05 | 1.0726 | 318.95 | 1.0598 | ||
323.45 | 1.109 | 324.35 | 1.0926 | 323.65 | 1.0806 | 324.65 | 1.0672 | 323.95 | 1.0544 | ||
329.95 | 1.1004 | 329.75 | 1.0862 | 329.95 | 1.0738 | 329.15 | 1.062 | 329.75 | 1.0484 | ||
334.75 | 1.0946 | 334.35 | 1.0806 | 334.95 | 1.068 | 334.75 | 1.0564 | 334.45 | 1.0436 |
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
1 | 28.4743632535717 | -0.186830481190503 | 0.00032334776557061 | 0.99986 |
2 | -126.970598373258 | 0.874539491051105 | -0.00151693575415747 | |
3 | 195.520852309489 | -1.34664702055075 | 0.00232812078732052 | |
4 | -99.5576549032101 | 0.68379808430136 | -0.00117787138864287 |
表5 密度拟合系数
Table 5 Regression parameters of density
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
1 | 28.4743632535717 | -0.186830481190503 | 0.00032334776557061 | 0.99986 |
2 | -126.970598373258 | 0.874539491051105 | -0.00151693575415747 | |
3 | 195.520852309489 | -1.34664702055075 | 0.00232812078732052 | |
4 | -99.5576549032101 | 0.68379808430136 | -0.00117787138864287 |
T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s |
---|---|---|---|---|---|---|---|---|---|
w=60% | w=65% | w=70% | w=75% | w=80% | |||||
299.25 | 1.84 | 298.75 | 2.02 | 298.75 | 2.21 | 298.65 | 2.36 | 298.65 | 2.52 |
304.25 | 1.71 | 303.95 | 1.85 | 303.85 | 2.00 | 304.05 | 2.13 | 303.95 | 2.28 |
309.25 | 1.55 | 309.15 | 1.68 | 308.95 | 1.82 | 308.85 | 1.93 | 309.45 | 2.06 |
314.95 | 1.42 | 314.15 | 1.54 | 313.75 | 1.67 | 314.35 | 1.77 | 314.65 | 1.87 |
318.75 | 1.32 | 318.95 | 1.42 | 319.05 | 1.53 | 319.05 | 1.63 | 318.95 | 1.73 |
323.45 | 1.23 | 324.35 | 1.32 | 323.65 | 1.43 | 324.65 | 1.51 | 323.95 | 1.60 |
329.95 | 1.13 | 329.75 | 1.22 | 329.95 | 1.31 | 329.15 | 1.40 | 329.75 | 1.48 |
334.75 | 1.05 | 334.35 | 1.13 | 334.95 | 1.21 | 334.75 | 1.30 | 334.45 | 1.39 |
表6 R1336mzz(Z)/TEGDME工质对的运动黏度
Table 6 Viscosity of R1336mzz(Z)/TEGDME system
T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s | T/K | υ/mm2/s |
---|---|---|---|---|---|---|---|---|---|
w=60% | w=65% | w=70% | w=75% | w=80% | |||||
299.25 | 1.84 | 298.75 | 2.02 | 298.75 | 2.21 | 298.65 | 2.36 | 298.65 | 2.52 |
304.25 | 1.71 | 303.95 | 1.85 | 303.85 | 2.00 | 304.05 | 2.13 | 303.95 | 2.28 |
309.25 | 1.55 | 309.15 | 1.68 | 308.95 | 1.82 | 308.85 | 1.93 | 309.45 | 2.06 |
314.95 | 1.42 | 314.15 | 1.54 | 313.75 | 1.67 | 314.35 | 1.77 | 314.65 | 1.87 |
318.75 | 1.32 | 318.95 | 1.42 | 319.05 | 1.53 | 319.05 | 1.63 | 318.95 | 1.73 |
323.45 | 1.23 | 324.35 | 1.32 | 323.65 | 1.43 | 324.65 | 1.51 | 323.95 | 1.60 |
329.95 | 1.13 | 329.75 | 1.22 | 329.95 | 1.31 | 329.15 | 1.40 | 329.75 | 1.48 |
334.75 | 1.05 | 334.35 | 1.13 | 334.95 | 1.21 | 334.75 | 1.30 | 334.45 | 1.39 |
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
1 | 3.490363301678 | 1714.7763765378 | -924375.699520747 | 0.99996 |
2 | -42.306996314878 | 6578.85658417115 | 2223832.1837883 | |
3 | 80.5852323310304 | -21404.4543381457 | -1255996.01711628 | |
4 | -40.5281447296756 | 11458.0631217976 | 387747.806435135 |
表7 黏度拟合系数
Table 7 Regression parameters of viscosity
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
1 | 3.490363301678 | 1714.7763765378 | -924375.699520747 | 0.99996 |
2 | -42.306996314878 | 6578.85658417115 | 2223832.1837883 | |
3 | 80.5852323310304 | -21404.4543381457 | -1255996.01711628 | |
4 | -40.5281447296756 | 11458.0631217976 | 387747.806435135 |
T/K | cp /J·g-1·K-1 | ||||
---|---|---|---|---|---|
w=60 % | w=65 % | w=70 % | w=75 % | w=80 % | |
303.15 | 1.854 | 1.886 | 1.917 | 1.948 | 1.977 |
308.15 | 1.86 | 1.892 | 1.922 | 1.953 | 1.982 |
313.15 | 1.866 | 1.898 | 1.927 | 1.959 | 1.988 |
318.15 | 1.873 | 1.905 | 1.933 | 1.964 | 1.993 |
323.15 | 1.879 | 1.911 | 1.9385 | 1.97 | 1.998 |
328.15 | 1.886 | 1.917 | 1.9444 | 1.976 | 2.004 |
333.15 | 1.893 | 1.923 | 1.95 | 1.982 | 2.01 |
表8 R1336mzz(Z)/TEGDME工质对的比热容
Table 8 Specific heat capacity of the R1336mzz(Z)/TEGDME system
T/K | cp /J·g-1·K-1 | ||||
---|---|---|---|---|---|
w=60 % | w=65 % | w=70 % | w=75 % | w=80 % | |
303.15 | 1.854 | 1.886 | 1.917 | 1.948 | 1.977 |
308.15 | 1.86 | 1.892 | 1.922 | 1.953 | 1.982 |
313.15 | 1.866 | 1.898 | 1.927 | 1.959 | 1.988 |
318.15 | 1.873 | 1.905 | 1.933 | 1.964 | 1.993 |
323.15 | 1.879 | 1.911 | 1.9385 | 1.97 | 1.998 |
328.15 | 1.886 | 1.917 | 1.9444 | 1.976 | 2.004 |
333.15 | 1.893 | 1.923 | 1.95 | 1.982 | 2.01 |
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
0 | 5.4040845 | -0.0292828 | 5.31E-05 | |
1 | -11.66316028 | 0.086556832 | -0.000149525 | 0.99973 |
2 | 9.203163682 | -0.063869777 | 0.000108844 |
表9 比热容拟合系数
Table 9 Regression parameters of specific heat capacity
i | Ai | Bi | Ci | R2 |
---|---|---|---|---|
0 | 5.4040845 | -0.0292828 | 5.31E-05 | |
1 | -11.66316028 | 0.086556832 | -0.000149525 | 0.99973 |
2 | 9.203163682 | -0.063869777 | 0.000108844 |
w | 55 % | 60 % | 65 % | 70 % | 75 % |
---|---|---|---|---|---|
Δhmix/J·g-1 | -2.46 | -2.84 | -2.86 | -1.74 | -1.54 |
表10 R1336mzz(Z)/TEGDME工质对混合焓
Table 10 Enthalpy of mixing of the R1336mzz(Z)/TEGDME system
w | 55 % | 60 % | 65 % | 70 % | 75 % |
---|---|---|---|---|---|
Δhmix/J·g-1 | -2.46 | -2.84 | -2.86 | -1.74 | -1.54 |
T/K | Cp /J·g-1·K-1 | ||||
---|---|---|---|---|---|
w=55 % | w=60 % | w=65 % | w=70 % | w=75 % | |
293.15 | 450.651 | 451.076 | 451.828 | 453.722 | 454.650 |
298.15 | 459.614 | 460.199 | 461.107 | 463.154 | 464.231 |
303.15 | 468.605 | 469.349 | 470.412 | 472.609 | 473.833 |
308.15 | 477.626 | 478.526 | 479.741 | 482.087 | 483.458 |
313.15 | 486.678 | 487.730 | 489.096 | 491.590 | 493.105 |
318.15 | 495.761 | 496.964 | 498.478 | 501.117 | 502.774 |
323.15 | 504.876 | 506.226 | 507.885 | 510.668 | 512.468 |
328.15 | 514.024 | 515.518 | 517.320 | 520.245 | 522.185 |
333.15 | 523.206 | 524.840 | 526.782 | 529.846 | 531.927 |
338.15 | 532.424 | 534.193 | 536.272 | 539.474 | 541.694 |
343.15 | 541.677 | 543.577 | 545.789 | 549.128 | 551.486 |
348.15 | 550.966 | 552.993 | 555.336 | 558.808 | 561.304 |
353.15 | 560.294 | 562.442 | 564.911 | 568.515 | 571.148 |
表11 R1336mzz(Z)/TEGDME工质对的比焓
Table 11 Specific enthalpies of the R1336mzz(Z)/TEGDME system
T/K | Cp /J·g-1·K-1 | ||||
---|---|---|---|---|---|
w=55 % | w=60 % | w=65 % | w=70 % | w=75 % | |
293.15 | 450.651 | 451.076 | 451.828 | 453.722 | 454.650 |
298.15 | 459.614 | 460.199 | 461.107 | 463.154 | 464.231 |
303.15 | 468.605 | 469.349 | 470.412 | 472.609 | 473.833 |
308.15 | 477.626 | 478.526 | 479.741 | 482.087 | 483.458 |
313.15 | 486.678 | 487.730 | 489.096 | 491.590 | 493.105 |
318.15 | 495.761 | 496.964 | 498.478 | 501.117 | 502.774 |
323.15 | 504.876 | 506.226 | 507.885 | 510.668 | 512.468 |
328.15 | 514.024 | 515.518 | 517.320 | 520.245 | 522.185 |
333.15 | 523.206 | 524.840 | 526.782 | 529.846 | 531.927 |
338.15 | 532.424 | 534.193 | 536.272 | 539.474 | 541.694 |
343.15 | 541.677 | 543.577 | 545.789 | 549.128 | 551.486 |
348.15 | 550.966 | 552.993 | 555.336 | 558.808 | 561.304 |
353.15 | 560.294 | 562.442 | 564.911 | 568.515 | 571.148 |
i | Ai | Bi | Ci | Di | R2 |
---|---|---|---|---|---|
0 | 236.6985459 | -582.2366024 | 164.395012 | 101.1770632 | |
1 | -0.13463465 | 3.981456429 | -2.175568469 | 0.009906259 | 0.99990 |
2 | 0.002528698 | -0.005212974 | 0.003318213 | -1.53E-05 |
表12 比焓拟合系数
Table 12 Regression parameters of Specific enthalpies
i | Ai | Bi | Ci | Di | R2 |
---|---|---|---|---|---|
0 | 236.6985459 | -582.2366024 | 164.395012 | 101.1770632 | |
1 | -0.13463465 | 3.981456429 | -2.175568469 | 0.009906259 | 0.99990 |
2 | 0.002528698 | -0.005212974 | 0.003318213 | -1.53E-05 |
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