Chemical Industry and Engineering Progress ›› 2022, Vol. 41 ›› Issue (2): 998-1008.DOI: 10.16085/j.issn.1000-6613.2021-0519
• Resources and environmental engineering • Previous Articles Next Articles
GU Zhipan1,2(), YANG Jichun2, ZHANG Ye2, TAO Leren1,3(), LIU Fanhan2
Received:
2021-03-15
Revised:
2021-05-23
Online:
2022-02-23
Published:
2022-02-05
Contact:
TAO Leren
谷志攀1,2(), 阳季春2, 张叶2, 陶乐仁1,3(), 刘泛函2
通讯作者:
陶乐仁
作者简介:
谷志攀(1983—),男,讲师,博士研究生,研究方向为多孔介质传热传质。E-mail:基金资助:
CLC Number:
GU Zhipan, YANG Jichun, ZHANG Ye, TAO Leren, LIU Fanhan. Mathematical modelling of water sorption isotherms and thermodynamic properties of municipal sewage sludge[J]. Chemical Industry and Engineering Progress, 2022, 41(2): 998-1008.
谷志攀, 阳季春, 张叶, 陶乐仁, 刘泛函. 市政污泥吸附等温线模型和热力学性质[J]. 化工进展, 2022, 41(2): 998-1008.
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URL: https://hgjz.cip.com.cn/EN/10.16085/j.issn.1000-6613.2021-0519
盐 | 水活性 | ||
---|---|---|---|
30℃ | 40℃ | 50℃ | |
KOH | 0.074 | 0.063 | 0.057 |
LiCl | 0.11 | 0.11 | 0.11 |
MgCl2 | 0.32 | 0.31 | 0.30 |
K2CO3 | 0.43 | 0.43 | 0.42 |
NaBr | 0.56 | 0.53 | 0.51 |
NaNO3 | 0.73 | 0.71 | 0.58 |
NaCl | 0.75 | 0.75 | 0.71 |
KCl | 0.84 | 0.82 | 0.77 |
BaCl2 | 0.90 | 0.89 | 0.88 |
盐 | 水活性 | ||
---|---|---|---|
30℃ | 40℃ | 50℃ | |
KOH | 0.074 | 0.063 | 0.057 |
LiCl | 0.11 | 0.11 | 0.11 |
MgCl2 | 0.32 | 0.31 | 0.30 |
K2CO3 | 0.43 | 0.43 | 0.42 |
NaBr | 0.56 | 0.53 | 0.51 |
NaNO3 | 0.73 | 0.71 | 0.58 |
NaCl | 0.75 | 0.75 | 0.71 |
KCl | 0.84 | 0.82 | 0.77 |
BaCl2 | 0.90 | 0.89 | 0.88 |
模型 | 函数表达式 |
---|---|
Halsey | |
Henderson | |
Oswin | |
Smith | |
Lespam | |
Modified Halsey | |
Modified Henderson | |
Modified Oswin | |
Enderby | |
GAB | |
Peleg |
模型 | 函数表达式 |
---|---|
Halsey | |
Henderson | |
Oswin | |
Smith | |
Lespam | |
Modified Halsey | |
Modified Henderson | |
Modified Oswin | |
Enderby | |
GAB | |
Peleg |
模型 | 参数 | 解吸 | 吸附 | ||||
---|---|---|---|---|---|---|---|
30℃ | 40℃ | 50℃ | 30℃ | 40℃ | 50℃ | ||
Enerby | k1 | 164.6200 | 154.6625 | 97.5232 | 228.5969 | 67.6927 | 41.9163 |
k2 | 4.3777 | 4.1455 | 3.2694 | 4.1245 | 3.4799 | 2.8263 | |
n1 | -21.4747 | -27.5731 | -16.7879 | -35.8708 | -10.4499 | -5.5114 | |
n2 | 0.7922 | 0.8081 | 0.8657 | 0.8080 | 0.8355 | 0.8684 | |
R2 | 0.9987 | 0.9918 | 0.9914 | 0.9994 | 0.9992 | 0.9936 | |
SSE | 6.7642×10-5 | 2.2067×10-5 | 2.2948×10-4 | 5.3219×10-5 | 5.7626×10-5 | 1.8101×10-4 | |
GAB | Mm | 6.9489 | 5.7250 | 4.9885 | 5.8989 | 5.5057 | 5.4636 |
K | 0.74617 | 0.78664 | 0.81484 | 0.7791 | 0.78411 | 0.77744 | |
C | 38.6475 | 38.8496 | 30.2742 | 61.2461 | 19.2301 | 13.1561 | |
R2 | 0.9986 | 0.9993 | 0.9981 | 0.9996 | 0.9987 | 0.9979 | |
SSE | 7.0842×10-5 | 5.4423×10-5 | 8.0862×10-5 | 4.5813×10-5 | 6.7642×10-5 | 8.5269×10-5 | |
Henderson | a | 0.004480 | 0.009660 | 0.01752 | 0.006690 | 0.01658 | 0.02156 |
b | 2.0713 | 1.8695 | 1.6997 | 1.9860 | 1.7112 | 1.6387 | |
R2 | 0.9834 | 0.9784 | 0.9784 | 0.9695 | 0.9915 | 0.9944 | |
SSE | 6.6675×10-4 | 1.0083×10-3 | 1.0083×10-3 | 1.6067×10-3 | 2.2751×10-4 | 1.6334×10-4 | |
Lespam | k1 | 4.1040 | 2.7496 | 2.3542 | 1.8656 | 4.3583 | 6.6839 |
k2 | 87.0296 | 102.9505 | 109.1127 | 120.1665 | 82.3949 | 64.8542 | |
b | 0.8122 | 1.31745 | 0.95785 | 3.09977 | -1.5383 | -4.6904 | |
R2 | 0.9871 | 0.9881 | 0.9789 | 0.9907 | 0.9812 | 0.9762 | |
SSE | 4.2235×10-4 | 3.5621×10-4 | 9.7470×10-4 | 2.4491×10-4 | 8.2005×10-4 | 1.1562×10-3 | |
Modified Halsey | a | 11.6936 | 7.2225 | 7.8648 | 5.1827 | 10.5786 | 4.0135 |
b | -1.50581 | -0.67996 | -0.92382 | -0.11143 | -1.51745 | -0.03796 | |
c | 2.3746 | 2.1245 | 2.0419 | 2.2667 | 2.0878 | 2.0452 | |
R2 | 0.9876 | 0.9906 | 0.9908 | 0.9964 | 0.9840 | 09864 | |
SSE | 3.8973×10-4 | 2.4711×10-4 | 2.4270×10-4 | 1.1932×10-4 | 6.3179×10-4 | 4.7042×10-4 | |
Modified Henderson | a | 2.749×10-5 | 7.2117×10-5 | 8.4859×10-5 | 3.92302×10-5 | 9.31591×10-5 | 1.12525×10-4 |
b | -153.8850 | -197.6900 | -157.8362 | -155.6501 | -160.9387 | -160.8820 | |
c | 2.1207 | 1.9468 | 1.8093 | 2.0644 | 1.7860 | 1.7145 | |
R2 | 0.9878 | 0.9831 | 0.9844 | 0.9738 | 0.9947 | 0.9958 | |
SSE | 3.7629×10-4 | 6.9230×10-4 | 6.0489×10-4 | 1.317×10-3 | 1.5677×10-4 | 1.3253×10-4 | |
Modified Oswin | a | -11.3030 | -12.0411 | -12.5870 | -11.8017 | -12.5025 | -12.7686 |
b | 0.5534 | 0.5350 | 0.5216 | 0.5410 | 0.5235 | 0.5168 | |
n | 0.3064 | 0.3387 | 0.3736 | 0.3181 | 0.3654 | 0.3854 | |
R2 | 0.9879 | 0.9980 | 0.9979 | 0.9955 | 0.9982 | 0.9933 | |
SSE | 3.6957×10-4 | 8.4066×10-5 | 8.6269×10-5 | 1.3914×10-4 | 7.9659×10-5 | 1.8762×10-4 | |
Peleg | k1 | 13.9311 | 14.6001 | 15.3302 | 14.9750 | 13.2518 | 12.9026 |
k2 | 12.8412 | 10.8048 | 10.3439 | 10.6098 | 11.7910 | 12.5854 | |
n1 | 4.5828 | 4.5950 | 5.3950 | 4.4285 | 5.6993 | 7.0189 | |
n2 | 0.3601 | 0.3618 | 0.4305 | 0.2973 | 0.5238 | 0.6412 | |
R2 | 0.9899 | 0.9988 | 0.9978 | 0.9983 | 0.9980 | 0.9899 | |
SSE | 2.6253×10-4 | 6.6439×10-5 | 8.8472×10-5 | 7.7456×10-5 | 8.4066×10-5 | 2.3509×10-4 | |
Halsey | k | 458.71 | 87.4532 | 53.1284 | 159.9017 | 62.3501 | 77.6911 |
n | 2.7239 | 2.23048 | 2.0917 | 2.4367 | 2.1552 | 2.2392 | |
R2 | 0.9890 | 0.9850 | 0.9930 | 0.9890 | 0.9768 | 0.9818 | |
SSE | 5.8658×10-4 | 8.0070×10-4 | 3.7246×10-4 | 5.865×10-4 | 1.239×10-3 | 9.7199×10-4 | |
Oswin | k | 11.37929 | 9.2118 | 8.3955 | 9.7888 | 8.4931 | 8.6816 |
n | 0.2821 | 0.3469 | 0.3676 | 0.3189 | 0.3608 | 0.3410 | |
R2 | 0.9942 | 0.9985 | 0.9965 | 0.9954 | 0.9972 | 0.9980 | |
SSE | 3.0823×10-4 | 7.8053×10-5 | 1.8511×10-4 | 2.4399×10-4 | 1.4764×10-4 | 1.0481×10-4 | |
Smith | a | 6.1447 | 3.9708 | 3.4089 | 4.7343 | 3.4131 | 3.7764 |
b | -6.6351 | -6.8745 | -6.6602 | -6.5677 | -6.6802 | -6.3820 | |
R2 | 0.9946 | 0.9942 | 0.9987 | 0.9967 | 0.9902 | 0.9906 | |
SSE | 2.8681×10-4 | 3.0823×10-4 | 6.7347×10-4 | 1.7440×10-4 | 5.2348×10-4 | 5.0093×10-4 |
模型 | 参数 | 解吸 | 吸附 | ||||
---|---|---|---|---|---|---|---|
30℃ | 40℃ | 50℃ | 30℃ | 40℃ | 50℃ | ||
Enerby | k1 | 164.6200 | 154.6625 | 97.5232 | 228.5969 | 67.6927 | 41.9163 |
k2 | 4.3777 | 4.1455 | 3.2694 | 4.1245 | 3.4799 | 2.8263 | |
n1 | -21.4747 | -27.5731 | -16.7879 | -35.8708 | -10.4499 | -5.5114 | |
n2 | 0.7922 | 0.8081 | 0.8657 | 0.8080 | 0.8355 | 0.8684 | |
R2 | 0.9987 | 0.9918 | 0.9914 | 0.9994 | 0.9992 | 0.9936 | |
SSE | 6.7642×10-5 | 2.2067×10-5 | 2.2948×10-4 | 5.3219×10-5 | 5.7626×10-5 | 1.8101×10-4 | |
GAB | Mm | 6.9489 | 5.7250 | 4.9885 | 5.8989 | 5.5057 | 5.4636 |
K | 0.74617 | 0.78664 | 0.81484 | 0.7791 | 0.78411 | 0.77744 | |
C | 38.6475 | 38.8496 | 30.2742 | 61.2461 | 19.2301 | 13.1561 | |
R2 | 0.9986 | 0.9993 | 0.9981 | 0.9996 | 0.9987 | 0.9979 | |
SSE | 7.0842×10-5 | 5.4423×10-5 | 8.0862×10-5 | 4.5813×10-5 | 6.7642×10-5 | 8.5269×10-5 | |
Henderson | a | 0.004480 | 0.009660 | 0.01752 | 0.006690 | 0.01658 | 0.02156 |
b | 2.0713 | 1.8695 | 1.6997 | 1.9860 | 1.7112 | 1.6387 | |
R2 | 0.9834 | 0.9784 | 0.9784 | 0.9695 | 0.9915 | 0.9944 | |
SSE | 6.6675×10-4 | 1.0083×10-3 | 1.0083×10-3 | 1.6067×10-3 | 2.2751×10-4 | 1.6334×10-4 | |
Lespam | k1 | 4.1040 | 2.7496 | 2.3542 | 1.8656 | 4.3583 | 6.6839 |
k2 | 87.0296 | 102.9505 | 109.1127 | 120.1665 | 82.3949 | 64.8542 | |
b | 0.8122 | 1.31745 | 0.95785 | 3.09977 | -1.5383 | -4.6904 | |
R2 | 0.9871 | 0.9881 | 0.9789 | 0.9907 | 0.9812 | 0.9762 | |
SSE | 4.2235×10-4 | 3.5621×10-4 | 9.7470×10-4 | 2.4491×10-4 | 8.2005×10-4 | 1.1562×10-3 | |
Modified Halsey | a | 11.6936 | 7.2225 | 7.8648 | 5.1827 | 10.5786 | 4.0135 |
b | -1.50581 | -0.67996 | -0.92382 | -0.11143 | -1.51745 | -0.03796 | |
c | 2.3746 | 2.1245 | 2.0419 | 2.2667 | 2.0878 | 2.0452 | |
R2 | 0.9876 | 0.9906 | 0.9908 | 0.9964 | 0.9840 | 09864 | |
SSE | 3.8973×10-4 | 2.4711×10-4 | 2.4270×10-4 | 1.1932×10-4 | 6.3179×10-4 | 4.7042×10-4 | |
Modified Henderson | a | 2.749×10-5 | 7.2117×10-5 | 8.4859×10-5 | 3.92302×10-5 | 9.31591×10-5 | 1.12525×10-4 |
b | -153.8850 | -197.6900 | -157.8362 | -155.6501 | -160.9387 | -160.8820 | |
c | 2.1207 | 1.9468 | 1.8093 | 2.0644 | 1.7860 | 1.7145 | |
R2 | 0.9878 | 0.9831 | 0.9844 | 0.9738 | 0.9947 | 0.9958 | |
SSE | 3.7629×10-4 | 6.9230×10-4 | 6.0489×10-4 | 1.317×10-3 | 1.5677×10-4 | 1.3253×10-4 | |
Modified Oswin | a | -11.3030 | -12.0411 | -12.5870 | -11.8017 | -12.5025 | -12.7686 |
b | 0.5534 | 0.5350 | 0.5216 | 0.5410 | 0.5235 | 0.5168 | |
n | 0.3064 | 0.3387 | 0.3736 | 0.3181 | 0.3654 | 0.3854 | |
R2 | 0.9879 | 0.9980 | 0.9979 | 0.9955 | 0.9982 | 0.9933 | |
SSE | 3.6957×10-4 | 8.4066×10-5 | 8.6269×10-5 | 1.3914×10-4 | 7.9659×10-5 | 1.8762×10-4 | |
Peleg | k1 | 13.9311 | 14.6001 | 15.3302 | 14.9750 | 13.2518 | 12.9026 |
k2 | 12.8412 | 10.8048 | 10.3439 | 10.6098 | 11.7910 | 12.5854 | |
n1 | 4.5828 | 4.5950 | 5.3950 | 4.4285 | 5.6993 | 7.0189 | |
n2 | 0.3601 | 0.3618 | 0.4305 | 0.2973 | 0.5238 | 0.6412 | |
R2 | 0.9899 | 0.9988 | 0.9978 | 0.9983 | 0.9980 | 0.9899 | |
SSE | 2.6253×10-4 | 6.6439×10-5 | 8.8472×10-5 | 7.7456×10-5 | 8.4066×10-5 | 2.3509×10-4 | |
Halsey | k | 458.71 | 87.4532 | 53.1284 | 159.9017 | 62.3501 | 77.6911 |
n | 2.7239 | 2.23048 | 2.0917 | 2.4367 | 2.1552 | 2.2392 | |
R2 | 0.9890 | 0.9850 | 0.9930 | 0.9890 | 0.9768 | 0.9818 | |
SSE | 5.8658×10-4 | 8.0070×10-4 | 3.7246×10-4 | 5.865×10-4 | 1.239×10-3 | 9.7199×10-4 | |
Oswin | k | 11.37929 | 9.2118 | 8.3955 | 9.7888 | 8.4931 | 8.6816 |
n | 0.2821 | 0.3469 | 0.3676 | 0.3189 | 0.3608 | 0.3410 | |
R2 | 0.9942 | 0.9985 | 0.9965 | 0.9954 | 0.9972 | 0.9980 | |
SSE | 3.0823×10-4 | 7.8053×10-5 | 1.8511×10-4 | 2.4399×10-4 | 1.4764×10-4 | 1.0481×10-4 | |
Smith | a | 6.1447 | 3.9708 | 3.4089 | 4.7343 | 3.4131 | 3.7764 |
b | -6.6351 | -6.8745 | -6.6602 | -6.5677 | -6.6802 | -6.3820 | |
R2 | 0.9946 | 0.9942 | 0.9987 | 0.9967 | 0.9902 | 0.9906 | |
SSE | 2.8681×10-4 | 3.0823×10-4 | 6.7347×10-4 | 1.7440×10-4 | 5.2348×10-4 | 5.0093×10-4 |
参数 | 吸附 | 解吸 |
---|---|---|
Mm0 | 0.02996 | 1.6379 |
C0 | 1.1321 | 2.5146×10-12 |
K0 | 3.0870 | 0.7566 |
ΔH/kJ·mol-1 | 13.7074 | 3.2062 |
HM-HN/kJ·mol-1 | 8.9807 | 77.6208 |
HL-HN/kJ·mol-1 | -3.5705 | 0.07985 |
参数 | 吸附 | 解吸 |
---|---|---|
Mm0 | 0.02996 | 1.6379 |
C0 | 1.1321 | 2.5146×10-12 |
K0 | 3.0870 | 0.7566 |
ΔH/kJ·mol-1 | 13.7074 | 3.2062 |
HM-HN/kJ·mol-1 | 8.9807 | 77.6208 |
HL-HN/kJ·mol-1 | -3.5705 | 0.07985 |
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