Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

doi:10.3969/j.issn.1004-1524.2022.04.18

Acta Agriculturae Zhejiangensis ›› 2022, Vol. 34 ›› Issue (4): 814-823.DOI: 10.3969/j.issn.1004-1524.2022.04.18

• Biosystems Engineening • Previous Articles Next Articles

Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

PENG Caiwang(), ZHOU Ting, SUN Songlin(), XIE Yelin, WEI Yuan

College of Mechanical and Electrical Engineering, Hunan Agricultural University, Changsha 410128, China

Received:2020-10-23 Online:2022-04-25 Published:2022-04-28
Contact: SUN Songlin

Abstract

Abstract:

Black soldier fly plays an important role in reducing the cost of livestock and poultry manure discharge and farm pollution. However, black soldier fly separation was a difficult procedure for the follow-up comprehensive utilization of livestock manure. The parameters of discrete element model for black soldier fly was important for black soldier fly separation based on EDEM simulation software. A method was proposed to calibrate the parameters of discrete element model for black soldier fly based on tests of the angle of repose. Firstly, the “Hertz-Mindlin with JKR” contact model in the system was selected and the angle of repose was taken as the evaluation index to calibrate the parameters for the discrete element simulation model of the black soldier fly. Secondly, it was found that not all discrete element model parameters of black soldier fly had significant impact on the angle of repose, only three parameters (shear modulus, static friction coefficient and rolling friction coefficient of the black soldier fly) that had significant influence on the accumulation of the black soldier fly were selected by Plackett-Burman design test. Then, the best range of three significant influencing factors was determined by the steepest climbing test, the other seven factors in this test were the intermediate values of the initial range, and the three significant parameters gradually were increased and decreased until the relative error between the simulated value and the physical test value reached the minimum. Finally, the accumulation angle of black soldier fly was taken as the response value, quadratic regression orthogonal rotation combination test was used, and the repose angle regression model was obtained. The regression model was optimized, and the optimal values of three significant factors were obtained: black soldier fly shear modulus was 8.67 MPa, static friction coefficient was 0.43, rolling friction coefficient was 0.32. By using the optimal parameter combination for simulation analysis, the mean value of the accumulation angle was 35.84°, the physical test was 34.66°, the relative error between them was 3.40%. The results showed that this method was feasible for the calibration of discrete element simulation parameters of the black soldier fly, which provided a basis for material characteristics data for the design and research of screening machinery of the black soldier fly based on EDEM software.

Key words: black soldier fly, accumulation angle, parameter calibration, response surface methodology, discrete element

CLC Number:

PENG Caiwang, ZHOU Ting, SUN Songlin, XIE Yelin, WEI Yuan. Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap[J]. Acta Agriculturae Zhejiangensis, 2022, 34(4): 814-823.

Figures/Tables 15

Fig.1 Black soldier fly larva

Fig.2 Test of box side plate lifting method 1, Bottom plate; 2, Black soldier fly larva; 3, Baffle; 4, Box; 5, Base plate.

Fig.3 Form of particle contact

Fig.4 Model of particle contact

Fig.5 Simulation model of black soldier fly

Table 1 Setting of simulation parameters

参数Parameters	数值Values
黑水虻泊松比 X₁ Poisson’s ratio of black soldier fly	0.20~0.40^a
黑水虻密度X₂ Density of black soldier fly/(kg·m^-3)	320~380^a
黑水虻剪切模量 X₃ Shear modulus of black soldier fly/MPa	8~14^a
不锈钢泊松比 Poisson’s ratio of steel	0.30^b
不锈钢密度 Density of steel/(kg·m^-3)	7860^b
不锈钢剪切模量 Shear modulus of steel/Pa	7.90×10^10b
黑水虻间碰撞恢复系数 X₄ Black soldier fly restitution coefficient	0.10~0.30^a
黑水虻间静摩擦系数 X₅ Black soldier fly static friction coefficient	0.40~0.60^a
黑水虻间滚动摩擦系数 X₆ Black soldier fly rolling friction coefficient	0.30~0.50^a
黑水虻-不锈钢碰撞恢复系数 X₇ Black soldier fly-steel restitution coefficient	0.20~0.40^a
黑水虻-不锈钢静摩擦系数 X₈ Black soldier fly-steel static friction coefficient	0.50~0.70^a
黑水虻-不锈钢滚动摩擦系数 X₉ Black soldier fly-steel rolling friction coefficient	0.35~0.55^a
黑水虻表面能 X₁₀ Black soldier fly surface energy/(J·m^-2)	0.05~0.65^a

Fig.6 Simulation of box side plate lifting method 1, Bottom plate; 2, Black soldier fly larva; 3, Baffle; 4, Box.

Table 2 Design and results of Plackett-Burman test

序号 No.	参数Parameters											堆积角 Repose angle/(°)
序号 No.	X₁	X₂	X₃	X₄	X₅	X₆	X₇	X₈	X₉	X₁₀	X₁₁	堆积角 Repose angle/(°)
1	1	1	-1	1	1	1	-1	-1	-1	1	-1	45.25
2	-1	1	1	-1	1	1	1	-1	-1	-1	1	54.02
3	1	-1	1	1	-1	1	1	1	-1	-1	-1	43.02
4	-1	1	-1	1	1	-1	1	1	1	-1	-1	45.41
5	-1	-1	1	-1	1	1	-1	1	1	1	-1	53.65
6	-1	-1	-1	1	-1	1	1	-1	1	1	1	37.70
7	1	-1	-1	-1	1	-1	1	1	-1	1	1	40.74
8	1	1	-1	-1	-1	1	-1	1	1	-1	1	38.54
9	1	1	1	-1	-1	-1	1	-1	1	1	-1	39.48
10	-1	1	1	1	-1	-1	-1	1	-1	1	1	38.89
11	1	-1	1	1	1	-1	-1	-1	1	-1	1	39.94
12	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	38.19
13	0	0	0	0	0	0	0	0	0	0	0	43.58
14	0	0	0	0	0	0	0	0	0	0	0	43.02
15	0	0	0	0	0	0	0	0	0	0	0	43.15

Table 3 Variance analysis of Plackett-Burman test results

参数 Parameters	标准化效应 Stdized effects	均方和 Sum of mean squares	贡献度/% Contribution degree	P值 P value
X₁	-3.48	36.37	10.08	0.052 9
X₂	1.39	5.81	1.61	0.337 8
X₃	3.86	44.74	12.39	0.039 2
X₄	-2.40	17.30	4.79	0.133 7
X₅	7.20	155.45	43.07	0.004 9
X₆	4.92	72.67	20.13	0.018 3
X₇	0.98	2.91	0.81	0.484 3
X₈	0.94	2.68	0.74	0.501 1
X₉	-0.90	2.42	0.67	0.521 3
X₁₀	-0.57	0.97	0.27	0.679 8

Table 4 Design and results of steepest climbing test

序号 No.	参数 Parameters			堆积角 Repose angle/(°)	相对误差 Relative error/%
序号 No.	X₃/MPa	X₅	X₆	堆积角 Repose angle/(°)	相对误差 Relative error/%
1	7.0	0.35	0.25	31.73	8.4
2	8.5	0.40	0.30	34.54	0.3
3	10	0.45	0.35	37.44	8.0
4	11.5	0.50	0.40	40.06	15.6
5	13.0	0.55	0.45	43.46	25.4
6	14.5	0.60	0.50	45.47	31.2

Table 5 Experiment factors and codes

水平 Level	因素Factor
水平 Level	X₃/MPa	X₅	X₆
-1.682	6.0	0.32	0.22
-1	7.0	0.35	0.25
0	8.5	0.40	0.30
1	10.0	0.45	0.35
1.682	11.0	0.48	0.38

Table 6 Experiment scheme and results

序号 No.	x₃	x₅	x₆	堆积角 Repose angle/(°)
1	-1	-1	-1	31.56
2	1	-1	-1	32.27
3	-1	1	-1	35.55
4	1	1	-1	35.13
5	-1	-1	1	31.40
6	1	-1	1	33.91
7	-1	1	1	36.25
8	1	1	1	37.50
9	-1.682	0	0	33.38
10	1.682	0	0	34.95
11	0	-1.682	0	30.45
12	0	1.682	0	36.95
13	0	0	-1.682	34.27
14	0	0	1.682	35.05
15	0	0	0	33.84
16	0	0	0	33.11
17	0	0	0	33.52
18	0	0	0	32.83
19	0	0	0	32.34
20	0	0	0	32.63

Table 7 Variance analysis of regression equation

方差来源 Soruce of variation	平方和 Sum of square	自由度 Degree of freedom	均方 Mean square	P值 P value
模型Model	65.07	9	7.23	<0.000 1
x₃	3.28	1	3.28	0.002 2
x₅	50.35	1	50.35	<0.000 1
x₆	2.52	1	2.52	0.005 1
x₃x₅	0.71	1	0.71	0.086 0
x₃x₆	1.51	1	1.51	0.020 0
x₅x₆	0.32	1	0.32	0.233 9
$x 32$	2.15	1	2.15	0.008 0
$x 52$	0.71	1	0.71	0.087 2
$x 62$	4.54	1	4.54	0.000 7
残差Residual	1.97	10	0.20
失拟Lack of fit	0.39	5	0.078	0.923 7
纯误差Pure error	1.58	5	0.32
总和Sum	67.04	19

Table 7 Variance analysis of regression equation

方差来源 Soruce of variation	平方和 Sum of square	自由度 Degree of freedom	均方 Mean square	P值 P value
模型Model	65.07	9	7.23	<0.000 1
x₃	3.28	1	3.28	0.002 2
x₅	50.35	1	50.35	<0.000 1
x₆	2.52	1	2.52	0.005 1
x₃x₅	0.71	1	0.71	0.086 0
x₃x₆	1.51	1	1.51	0.020 0
x₅x₆	0.32	1	0.32	0.233 9
$x 32$	2.15	1	2.15	0.008 0
$x 52$	0.71	1	0.71	0.087 2
$x 62$	4.54	1	4.54	0.000 7
残差Residual	1.97	10	0.20
失拟Lack of fit	0.39	5	0.078	0.923 7
纯误差Pure error	1.58	5	0.32
总和Sum	67.04	19

Fig.7 The interaction between the shear modulus of black soldier fly and the rolling friction coefficient of black soldier fly

Fig.8 Comparison of simulation and physical tests

References 31

[1]	周晶, 青平. 规模化养殖对中国生猪粪便污染的影响研究[J]. 环境污染与防治, 2017, 39(8): 920-924.
	ZHOU J, QING P. Study on impact of scaled breeding on pig manure pollution in China[J]. Environmental Pollution & Control, 2017, 39(8): 920-924. (in Chinese with English abstract)
[2]	王天琪, 章萍, 周文斌. 养猪废水中氮磷及重金属的处理方法[J]. 家畜生态学报, 2013, 34(11): 85-88.
	WANG T Q, ZHANG P, ZHOU W B. Treatments of nitrogen, phosphorus and heavy metals in swine wastewater[J]. Journal of Domestic Animal Ecology, 2013, 34(11): 85-88. (in Chinese with English abstract)
[3]	喻国辉, 陈燕红, 喻子牛, 等. 黑水虻幼虫和预蛹的饲料价值研究进展[J]. 昆虫知识, 2009, 46(1): 41-45.
	YU G H, CHEN Y H, YU Z N, et al. Research progression on the larvae and prepupae of black soldier fly Hermetia illucens used as animal feedstuff[J]. Chinese Bulletin of Entomology, 2009, 46(1): 41-45. (in Chinese with English abstract)
[4]	柴志强, 王付彬, 郭明昉, 等. 水虻科昆虫及其资源化利用研究[J]. 广东农业科学, 2012, 39(10): 182-185.
	CHAI Z Q, WANG F B, GUO M F, et al. Research of Stratiomyidae and its utilization[J]. Guangdong Agricultural Sciences, 2012, 39(10): 182-185. (in Chinese with English abstract)
[5]	陈杰, 邝哲师, 肖明, 等. 畜禽粪便处理的优质昆虫黑水虻[J]. 安徽农业科学, 2014, 42(24): 8180-8182.
	CHEN J, KUANG Z S, XIAO M, et al. High quality insect for animal manure treatment: Hermetia illucens[J]. Journal of Anhui Agricultural Sciences, 2014, 42(24): 8180-8182. (in Chinese with English abstract)
[6]	马加康, 郭浩然, 王立新. 新鲜鸭粪对黑水虻幼虫生长发育及粪便转化率的影响[J]. 安徽科技学院学报, 2016, 30(1): 12-18.
	MA J K, GUO H R, WANG L X. The influences of the fresh duck manure to blackwater fly larvae growth and rate of waste conversion[J]. Journal of Anhui Science and Technology University, 2016, 30(1): 12-18. (in Chinese with English abstract)
[7]	王小波, 李景龙, 尚东维, 等. Cu²⁺、Zn²⁺、Cd²⁺对黑水虻幼虫生长的影响及在虫体和虫粪的积累[J]. 环境昆虫学报, 2019, 41(2): 387-393.
	WANG X B, LI J L, SHANG D W, et al. Effect of Cu²⁺, Zn²⁺, Cd²⁺ on the growth of Hermetia illucens larvae and accumulation in larvae and feces[J]. Journal of Environmental Entomology, 2019, 41(2): 387-393. (in Chinese with English abstract)
[8]	徐齐云, 龙镜池, 叶明强, 等. 黑水虻幼虫的发育速率及食物转化率研究[J]. 环境昆虫学报, 2014, 36(4): 561-564.
	XU Q Y, LONG J C, YE M Q, et al. Development rate and food conversion efficiency of black soldier fly, Hermetia illucens[J]. Journal of Environmental Entomology, 2014, 36(4): 561-564. (in Chinese with English abstract)
[9]	XIAO X W, TAN Y Q, ZHANG H, et al. Experimental and DEM studies on the particle mixing performance in rotating drums: effect of area ratio[J]. Powder Technology, 2017, 314: 182-194. DOI URL
[10]	GHAZAVI M, HOSSEINI M, MOLLANOURI M. A comparison between angle of repose and friction angle of sand[C]// The 12th International Conference for International Association for Computer Methods and Advances in Geomechanics (IACMAG), 2008.
[11]	FRIEDMAN S P, ROBINSON D A. Particle shape characterization using angle of repose measurements for predicting the effective permittivity and electrical conductivity of saturated granular media[J]. Water Resources Research, 2002, 38(11): 18-1-18-11.
[12]	FIELKE J M, UCGUL M, SAUNDERS C. Discrete element modeling of soil-implement interaction considering soil plasticity, cohesion and adhesion[C]// American Society of Agricultural and Biological Engineers, 2013.
[13]	徐泳, 孙其诚, 张凌, 等. 颗粒离散元法研究进展[J]. 力学进展, 2003,(2): 251-260.
	XU Y, SUN Q C, ZHANG L, et al. Advances in discrete element methods for particulate materials[J]. Advances in Mechanics, 2003,(2): 251-260. (in Chinese with English abstract)
[14]	王泳嘉, 邢纪波. 离散单元法同拉格朗日元法及其在岩土力学中的应用[J]. 岩土力学, 1995, 16(2): 1-14.
	WANG Y J, XING J B. Discrete element method and Lagrangian element method and their applications in geomechanics[J]. Rock and Soil Mechanics, 1995, 16(2): 1-14. (in Chinese with English abstract)
[15]	于建群, 付宏, 李红, 等. 离散元法及其在农业机械工作部件研究与设计中的应用[J]. 农业工程学报, 2005, 21(5): 1-6.
	YU J Q, FU H, LI H, et al. Application of discrete element method to research and design of working parts of agricultural machines[J]. Transactions of the Chinese Society of Agricultural Engineering, 2005, 21(5): 1-6. (in Chinese with English abstract)
[16]	马帅, 徐丽明, 袁全春, 等. 葡萄藤防寒土与清土部件相互作用的离散元仿真参数标定[J]. 农业工程学报, 2020, 36(1): 40-49.
	MA S, XU L M, YUAN Q C, et al. Calibration of discrete element simulation parameters of grapevine antifreezing soil and its interaction with soil-cleaning components[J]. Transactions of the Chinese Society of Agricultural Engineering, 2020, 36(1): 40-49. (in Chinese with English abstract)
[17]	邢洁洁, 张锐, 吴鹏, 等. 海南热区砖红壤颗粒离散元仿真模型参数标定[J]. 农业工程学报, 2020, 36(5): 158-166.
	XING J J, ZHANG R, WU P, et al. Parameter calibration of discrete element simulation model for latosol particles in hot areas of Hainan Province[J]. Transactions of the Chinese Society of Agricultural Engineering, 2020, 36(5): 158-166. (in Chinese with English abstract)
[18]	袁全春, 徐丽明, 邢洁洁, 等. 机施有机肥散体颗粒离散元模型参数标定[J]. 农业工程学报, 2018, 34(18): 21-27.
	YUAN Q C, XU L M, XING J J, et al. Parameter calibration of discrete element model of organic fertilizer particles for mechanical fertilization[J]. Transactions of the Chinese Society of Agricultural Engineering, 2018, 34(18): 21-27. (in Chinese with English abstract)
[19]	廖宜涛, 廖庆喜, 周宇, 等. 饲料油菜薹期收获茎秆破碎离散元仿真参数标定[J]. 农业机械学报, 2020, 51(6): 73-82.
	LIAO Y T, LIAO Q X, ZHOU Y, et al. Parameters calibration of discrete element model of fodder rape crop harvest in bolting stage[J]. Transactions of the Chinese Society for Agricultural Machinery, 2020, 51(6): 73-82. (in Chinese with English abstract)
[20]	LENAERTS B, AERTSEN T, TIJSKENS E, et al. Simulation of grain-straw separation by Discrete Element Modeling with bendable straw particles[J]. Computers and Electronics in Agriculture, 2014, 101: 24-33. DOI URL
[21]	王国强, 郝万军, 王继新. 离散单元法及其在EDEM上的实践[M]. 西安: 西北工业大学出版社, 2010.
[22]	林嘉聪, 罗帅, 袁巧霞, 等. 不同含水率蚯蚓粪颗粒物料流动性研究[J]. 农业工程学报, 2019, 35(9): 221-227.
	LIN J C, LUO S, YUAN Q X, et al. Flow properties of vermicompost particle with different moisture contents[J]. Transactions of the Chinese Society of Agricultural Engineering, 2019, 35(9): 221-227. (in Chinese with English abstract)
[23]	徐莉. 3-DOF蛆料分离多维振动筛筛分特性影响因素的分析与试验[D]. 镇江: 江苏大学, 2019.
	XU L. Analysis and tests of screening characteristics influencing factors of 3-DOF multi-dimensional vibrating screen for fly maggots and sputum[D]. Zhenjiang: Jiangsu University, 2019. (in Chinese with English abstract)
[24]	蔡静. 基于DEM的蛆粪混合物动力学与多维振动筛的优化设计[D]. 镇江: 江苏大学, 2018.
	CAI J. Dynamics of maggots and manure based on DEM and optimal design of the multi-dimensional sieving machine[D]. Zhenjiang: Jiangsu University, 2018. (in Chinese with English abstract)
[25]	汪志焕. 蝇蛆处理畜禽粪便中蛆料分离多维振动筛的设计[D]. 镇江: 江苏大学, 2016.
	WANG Z H. Design of the multidimensional maggots sieving machine among maggots handling livestock excrements[D]. Zhenjiang: Jiangsu University, 2016. (in Chinese with English abstract)
[26]	黄友良, 欧玲利. 黑水虻资源化利用研究[J]. 中国资源综合利用, 2019, 37(7): 48-50.
	HUANG Y L, OU L L. Study on the resource utilization of Tabanus nigra[J]. China Resources Comprehensive Utilization, 2019, 37(7): 48-50. (in Chinese with English abstract)
[27]	吕丰喆. 蝇蛆对粪中养分的转化及蝇蛆对粪中养分利用率的研究[D]. 沈阳: 沈阳农业大学, 2016.
	LÜ F Z. Study of maggot on nutrient transformation and manure on nutrient utilization[D]. Shenyang: Shenyang Agricultural University, 2016. (in Chinese with English abstract)
[28]	张锐, 韩佃雷, 吉巧丽, 等. 离散元模拟中沙土参数标定方法研究[J]. 农业机械学报, 2017, 48(3): 49-56.
	ZHANG R, HAN D L, JI Q L, et al. Calibration methods of sandy soil parameters in simulation of discrete element method[J]. Transactions of the Chinese Society for Agricultural Machinery, 2017, 48(3): 49-56. (in Chinese with English abstract)
[29]	刘文政, 何进, 李洪文, 等. 基于离散元的微型马铃薯仿真参数标定[J]. 农业机械学报, 2018, 49(5): 125-135.
	LIU W Z, HE J, LI H W, et al. Calibration of simulation parameters for potato minituber based on EDEM[J]. Transactions of the Chinese Society for Agricultural Machinery, 2018, 49(5): 125-135. (in Chinese with English abstract)
[30]	石林榕, 赵武云, 孙伟. 基于离散元的西北旱区农田土壤颗粒接触模型和参数标定[J]. 农业工程学报, 2017, 33(21): 181-187.
	SHI L R, ZHAO W Y, SUN W. Parameter calibration of soil particles contact model of farmland soil in northwest arid region based on discrete element method[J]. Transactions of the Chinese Society of Agricultural Engineering, 2017, 33(21): 181-187. (in Chinese with English abstract)
[31]	胡国明. 颗粒系统的离散元素法分析仿真: 离散元素法的工业应用与EDEM软件简介[M]. 武汉: 武汉理工大学出版社, 2010.

Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 15

References 31

Related Articles 14

Recommended Articles

Metrics

Comments

[1]	YANG Yeshuang, ZHANG Yingping, CHEN Yifan, ZHANG Jin, LI Huanhuan, CHEN Lihong, TANG Honggang, GAO Bin. Optimization of formulation of reconstituted liquid egg by response surface methodology [J]. Acta Agriculturae Zhejiangensis, 2022, 34(1): 153-162.
[2]	QIN Kuan, LIANG Xiaolong, CAO Chengmao, FANG Liangfei, WU Zhengmin, GE Jun. Design and experiment of tea garden energy-saving ditching blade [J]. Acta Agriculturae Zhejiangensis, 2021, 33(7): 1320-1328.
[3]	WANG Feng, ZHANG Fengwei, DAI Fei, ZHANG Luhai, ZHAO Wei, YANG Xiaoping. Design and experiment of double layer flat screen type Pinellia ternate harvester [J]. Acta Agriculturae Zhejiangensis, 2021, 33(10): 1946-1955.
[4]	LI Weining, BAI Xuanbing, LI Bing. Optimization of structural parameters of drum type tea re-dryer [J]. , 2020, 32(2): 348-358.
[5]	YANG Zhi, LI Wenyi, GAO Yuntao, XIONG Huabin, CHEN Yijian, YANG Huijuan. Optimization of extraction process of total flavonoids from Acerola cherry by response surface methodology and their antioxidant activities [J]. , 2020, 32(10): 1866-1872.
[6]	WEN Huiping, XIAO Jianzhong, LEI Weimin, JI Jiana. Optimization of extraction process of total flavonoids from Chimonanthus salicifolius S.Y.H by HPLC combined with response surface methodology and its antibacterial activity [J]. , 2018, 30(2): 298-306.
[7]	WANG Chuyan, CHENG Junwen, ZHU Chao. Optimization of extracellular polysaccharide production from Fructificatio amaurodermatis Rudae by liquid submerged fermentation and its antioxidant activity [J]. , 2018, 30(11): 1938-1945.
[8]	JIN Li\\|li1，2，JI Chang\\|ying1，2，*，FANG Hui\\|min1，2， TAN Ying1，2. Numerical simulation of mixing process of fertilizer particles in continuous mixer of variable rate fertilizer applicator [J]. , 2015, 27(2): 261-.
[9]	WANG Lingli， TENG Hongmei*， GONG Miaomiao. Optimization on ultrasonic extraction of total yellow pigment from Forsythia suspensa Vahl. based on response surface methodology#br# [J]. , 2014, 26(4): 961-.
[10]	WANG Nan;*;WANG Wei;ZHOU Hong;TANG Cangquan. Condition optimization of the neutral protease hydrolyzing turtle protein into antioxidant activity peptides [J]. , 2014, 26(2): 0-303308.
[11]	CHEN Hui;TANG Ming\\|xia*;YUAN Chun\\|xin;WANG Xue\\|jun. Optimization of the microwave blanching of quick\\|frozen broad beans using response surface methodology [J]. , 2013, 25(6): 0-1377.
[12]	FAN Jianqiang;ZHOU Bin;SONG Jizhen;WANG Jinhua;*;CHEN Yiqiang;WANG Yongze. Optimization of cellulase production by Aspergillus niger separated from tobacco and its separation and purification [J]. , 2012, 24(6): 0-1128.
[13]	WU Meng-meng;LIU Shi-wei;LI Bo-sheng;. Preparation and purification of low-molecular-weight peptides from Spirulina* protein [J]. , 2010, 22(6): 802-807.
[14]	DONG Jiang-tao*;LI Yan;XU Hui-qiang;JIANG Cheng-hua. Optimization of microwave-assisted extraction process of total flavonoids from persimmon leaves using response surface methodology [J]. , 2010, 22(4): 0-526.