Statistical analysis for supercooling characteristics experiments of sodium acetate trihydrate composite phase change materials

doi:10.16085/j.issn.1000-6613.2022-0052

Abstract

Abstract:

Based on sodium acetate trihydrate (SAT), combined phase change materials were prepared by adding diatomaceous earth (DE) with microporous structure and disodium hydrogen phosphate dodecahydrate (DHPD) and other additives. Taking the subcooling temperature as the objective function and completing the double factor repeated measurement experiment, it could analyze whether nucleating agents had a significant effect on the improvement of undercooling characteristics of phase change materials, and could also study the interaction between nucleating agents. Different additives with various concentrations were combined into a mathematical super rectangle, which was divided into four partial super rectangles. The effects of different additives in a partial super rectangle on the supercooling characteristics of phase change materials were analyzed by orthogonal experiment. Combining the partial orthogonal experimental data, the overall analysis of variance was carried out to study the overall effect of different additives on the undercooling characteristics of phase change materials. Through multiple regression analysis of the overall experimental data, the mathematical model of subcooling characteristics was established to find the best scheme in line with the actual situation and the subcooling degree was less than 0.5℃. The better additive addition proportion under economic conditions were obtained. The composite phase change materials were prepared, and the properties of subcooling, latent heat and heat conduction were tested.

Key words: sodium acetate trihydrate, diatomaceous earth, phase change, orthogonal experiment, statistical analysis, mathematical modeling

摘要：

以三水合乙酸钠（SAT）为基材，添加具有微孔结构的硅藻土（DE）及十二水磷酸氢二钠（DHPD）等添加剂制备复合相变材料。取过冷度作为目标函数，进行双因素重复测量实验并分析成核剂对相变材料的过冷改性有无显著作用及成核剂之间的交互作用。将不同添加剂、不同浓度组合成数学意义上的超矩体分割成四个局部超矩体，通过正交实验分析局部超矩体域内不同添加剂浓度对相变材料过冷特性的影响。合并局部正交实验数据并进行方差分析研究不同添加剂对相变材料整体过冷特性的影响；对整体实验数据进行多元回归分析，建立过冷特性数学模型，求出符合实际应用情况的最优方案，其过冷度小于0.5℃；确定经济性条件下的优化方案，配制相应复合相变材料验证其过冷特性，进行潜热、导热的性能测试。

关键词: 三水合乙酸钠, 硅藻土, 相变, 正交实验, 统计分析, 数学建模

CLC Number:

TK02

DING Xingjiang, ZHANG Xuelai, ZHU Jiahao, MAO Fa, FANG Manting, FENG Tianping. Statistical analysis for supercooling characteristics experiments of sodium acetate trihydrate composite phase change materials[J]. Chemical Industry and Engineering Progress, 2022, 41(11): 5946-5960.

丁兴江, 章学来, 朱嘉豪, 毛发, 房满庭, 冯天平. 三水合乙酸钠复合相变材料过冷特性实验统计分析[J]. 化工进展, 2022, 41(11): 5946-5960.

Figures/Tables 41

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差异源	SS	df	MS	F	P	F crit
DHPD	1.326499	2	0.663249	8.730743	0.000403	3.123907
DE	0.133581	2	0.066791	0.879206	0.419521	3.123907
DHPD*DE	0.817161	4	0.20429	2.689193	0.037787	2.498919
内部	5.469632	72	0.075967
总计	7.746872	80

差异源	SS	df	MS	F	P	F crit
DHPD	1.326499	2	0.663249	8.730743	0.000403	3.123907
DE	0.133581	2	0.066791	0.879206	0.419521	3.123907
DHPD*DE	0.817161	4	0.20429	2.689193	0.037787	2.498919
内部	5.469632	72	0.075967
总计	7.746872	80

DE浓度/%	DHPD浓度（I）/%	DHPD浓度（J）/%	均值差值（I-J）	标准误差	Sig.a	差分的95%置信区间
DE浓度/%	DHPD浓度（I）/%	DHPD浓度（J）/%	均值差值（I-J）	标准误差	Sig.a	下限	上限
1.0	1.0	1.5	0.305	0.135	0.033	0.027	0.583
	1.0	2.0	0.490	0.135	0.001	0.213	0.768
	1.5	1.0	-0.305	0.135	0.033	-0.583	-0.027
	1.5	2.0	0.185	0.135	0.181	-0.092	0.463
	2.0	1.0	-0.490	0.135	0.001	-0.768	-0.213
	2.0	1.5	-0.185	0.135	0.181	-0.463	0.092
3.0	1.0	1.5	0.273	0.14	0.062	-0.015	0.561
	1.0	2.0	0.378	0.14	0.012	0.09	0.667
	1.5	1.0	-0.273	0.14	0.062	-0.561	0.015
	1.5	2.0	0.105	0.14	0.459	-0.183	0.393
	2.0	1.0	-0.378	0.14	0.012	-0.667	-0.09
	2.0	1.5	-0.105	0.14	0.459	-0.393	0.183
5.0	1.0	1.5	-0.203	0.114	0.088	-0.439	0.032
	1.0	2.0	0.066	0.114	0.571	-0.17	0.301
	1.5	1.0	0.203	0.114	0.088	-0.032	0.439
	1.5	2.0	0.269	0.114	0.027	0.033	0.505
	2.0	1.0	-0.066	0.114	0.571	-0.301	0.17
	2.0	1.5	-0.269	0.114	0.027	-0.505	-0.033

DE浓度/%	DHPD浓度（I）/%	DHPD浓度（J）/%	均值差值（I-J）	标准误差	Sig.a	差分的95%置信区间
DE浓度/%	DHPD浓度（I）/%	DHPD浓度（J）/%	均值差值（I-J）	标准误差	Sig.a	下限	上限
1.0	1.0	1.5	0.305	0.135	0.033	0.027	0.583
	1.0	2.0	0.490	0.135	0.001	0.213	0.768
	1.5	1.0	-0.305	0.135	0.033	-0.583	-0.027
	1.5	2.0	0.185	0.135	0.181	-0.092	0.463
	2.0	1.0	-0.490	0.135	0.001	-0.768	-0.213
	2.0	1.5	-0.185	0.135	0.181	-0.463	0.092
3.0	1.0	1.5	0.273	0.14	0.062	-0.015	0.561
	1.0	2.0	0.378	0.14	0.012	0.09	0.667
	1.5	1.0	-0.273	0.14	0.062	-0.561	0.015
	1.5	2.0	0.105	0.14	0.459	-0.183	0.393
	2.0	1.0	-0.378	0.14	0.012	-0.667	-0.09
	2.0	1.5	-0.105	0.14	0.459	-0.393	0.183
5.0	1.0	1.5	-0.203	0.114	0.088	-0.439	0.032
	1.0	2.0	0.066	0.114	0.571	-0.17	0.301
	1.5	1.0	0.203	0.114	0.088	-0.032	0.439
	1.5	2.0	0.269	0.114	0.027	0.033	0.505
	2.0	1.0	-0.066	0.114	0.571	-0.301	0.17
	2.0	1.5	-0.269	0.114	0.027	-0.505	-0.033

实验序号	DHPD	DE	XG	AON	过冷度
1	1.5%	3%	1.5%	1.5%	0.629
2	1.5%	3%	2.5%	3%	0.414
3	1.5%	7%	1.5%	3%	0.648
4	1.5%	7%	2.5%	1.5%	0.579
5	2.5%	3%	1.5%	3%	0.720
6	2.5%	3%	2.5%	1.5%	0.358
7	2.5%	7%	1.5%	1.5%	0.379
8	2.5%	7%	2.5%	3%	0.738