Stochastic point kinetics equations(SPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order approximation.In this study, a fractional model of SPKEs has been anal...Stochastic point kinetics equations(SPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order approximation.In this study, a fractional model of SPKEs has been analyzed. The efficiency of the proposed higher-order approximation scheme has been discussed in the results section. The solutions of SPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model.展开更多
The removal of copper ions by tyre char was studied in agitated batch contacting systems. Experiments were carried out to obtain kinetic and equilibrium data. The pseudo-first order and pseudo-second order models were...The removal of copper ions by tyre char was studied in agitated batch contacting systems. Experiments were carried out to obtain kinetic and equilibrium data. The pseudo-first order and pseudo-second order models were used to correlate kinetic data. The best fitting kinetic model was determined by choosing the equation resulting in the lowest sum of error squares （SSE）. The experimental data fitted well to the pseudo-second order model compared to the pseudo-first order model. The Langmuir model was applied to describe the equilibrium data obtained at pH 4.0 ±0. 1 and a fixed temperature of 25 ℃. The maximum capacity of copper adsorption onto the tyre char at an equilibrium copper concentration of 2.45 mmol/L was found to be 0.74 mmol/g. Since the sorption capacity is relatively high, tyre char can be considered as a suitable sorbent for the adsorption of copper in wastewater treatment systems.展开更多
The best-fit equations of linear and non-linear forms of the two widely used kinetic models,namely pseudo-first-order and pseudo-second-order equations,were compared in this study.The experimental kinetics of methylen...The best-fit equations of linear and non-linear forms of the two widely used kinetic models,namely pseudo-first-order and pseudo-second-order equations,were compared in this study.The experimental kinetics of methylene blue adsorption on activated carbon was used for this research.Both the correlation coefficient(R2)and the normalized standard deviationΔq(%)were employed as error analysis methods to determine the best-fitting equations.The results show that the non-linear forms of pseudo-first-order and pseudo-second-order models were more suitable than the linear forms for fitting the experimental data.The experimental kinetics may have been distorted by linearization of the linear kinetic equations,and thus,the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters.In addition,theΔq(%)method for error analysis may be better to determine the best-fitting model in this case.展开更多
为实现牛粪与水稻秸秆资源化利用,采用批式试验,分别研究了预处理剂种类(H_2O_2、H_2SO_4、NaOH)、预处理剂浓度(2%、4%、6%)及牛粪与水稻秸秆物料比(1∶1、2∶1、4∶1)对牛粪与水稻秸秆混合厌氧发酵产气效果的影响。结果表明,采用2%H2...为实现牛粪与水稻秸秆资源化利用,采用批式试验,分别研究了预处理剂种类(H_2O_2、H_2SO_4、NaOH)、预处理剂浓度(2%、4%、6%)及牛粪与水稻秸秆物料比(1∶1、2∶1、4∶1)对牛粪与水稻秸秆混合厌氧发酵产气效果的影响。结果表明,采用2%H2O_2预处理剂,物料配比控制在1∶1,系统平均原料产气率为398.0 m L·g^(-1),发酵效果最佳。动力学研究发现,一级动力学模型与Modified Gompertz方程均可较为准确地对牛粪与水稻秸秆混合厌氧发酵产气过程进行动态模拟,其中,Modified Gompertz方程的模拟效果更优。展开更多
文摘Stochastic point kinetics equations(SPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order approximation.In this study, a fractional model of SPKEs has been analyzed. The efficiency of the proposed higher-order approximation scheme has been discussed in the results section. The solutions of SPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model.
文摘The removal of copper ions by tyre char was studied in agitated batch contacting systems. Experiments were carried out to obtain kinetic and equilibrium data. The pseudo-first order and pseudo-second order models were used to correlate kinetic data. The best fitting kinetic model was determined by choosing the equation resulting in the lowest sum of error squares （SSE）. The experimental data fitted well to the pseudo-second order model compared to the pseudo-first order model. The Langmuir model was applied to describe the equilibrium data obtained at pH 4.0 ±0. 1 and a fixed temperature of 25 ℃. The maximum capacity of copper adsorption onto the tyre char at an equilibrium copper concentration of 2.45 mmol/L was found to be 0.74 mmol/g. Since the sorption capacity is relatively high, tyre char can be considered as a suitable sorbent for the adsorption of copper in wastewater treatment systems.
基金the Research Scheme of Education Department of Zhejiang Province,China(No.Y200806037).
文摘The best-fit equations of linear and non-linear forms of the two widely used kinetic models,namely pseudo-first-order and pseudo-second-order equations,were compared in this study.The experimental kinetics of methylene blue adsorption on activated carbon was used for this research.Both the correlation coefficient(R2)and the normalized standard deviationΔq(%)were employed as error analysis methods to determine the best-fitting equations.The results show that the non-linear forms of pseudo-first-order and pseudo-second-order models were more suitable than the linear forms for fitting the experimental data.The experimental kinetics may have been distorted by linearization of the linear kinetic equations,and thus,the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters.In addition,theΔq(%)method for error analysis may be better to determine the best-fitting model in this case.
文摘为实现牛粪与水稻秸秆资源化利用,采用批式试验,分别研究了预处理剂种类(H_2O_2、H_2SO_4、NaOH)、预处理剂浓度(2%、4%、6%)及牛粪与水稻秸秆物料比(1∶1、2∶1、4∶1)对牛粪与水稻秸秆混合厌氧发酵产气效果的影响。结果表明,采用2%H2O_2预处理剂,物料配比控制在1∶1,系统平均原料产气率为398.0 m L·g^(-1),发酵效果最佳。动力学研究发现,一级动力学模型与Modified Gompertz方程均可较为准确地对牛粪与水稻秸秆混合厌氧发酵产气过程进行动态模拟,其中,Modified Gompertz方程的模拟效果更优。
