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Lyapunov-Constrained Hybrid Modeling for Stable Parameter Learning in Nonlinear Systems 非线性系统稳定参数学习的lyapunov约束混合建模
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c02895
Parth Shah,  and , Joseph Sang-Il Kwon*, 

Hybrid modeling frameworks that integrate first-principles equations with data-driven corrections offer a promising approach for capturing complex, partially known system dynamics. However, ensuring the stability and physical realism of the learned correction terms remains a significant challenge, especially when using flexible function approximators such as neural networks. This work introduces a Lyapunov-constrained hybrid modeling framework that ensures the boundedness of a learned parameter dependent on the states. Leveraging tools from nonlinear control theory, we perform a Lie derivative analysis to extract relative-degree features, construct a reference map for the unknown parameter, and embed a Lyapunov decay constraint directly into the model’s training objective. We validate our method on a benchmark CSTR system with time-varying fouling, where the heat transfer coefficient is treated as an unmeasured and drifting parameter. Results show that the proposed hybrid model accurately reconstructs system trajectories and parameter profiles while enforcing bounded deviation from the precomputed reference manifold. The Lyapunov-based penalty ensures that the correction term remains physically plausible and stable across all operating conditions, even in open-loop simulations. This framework provides a rigorous foundation for deploying hybrid models in safety-critical process systems.

混合建模框架将第一性原理方程与数据驱动的修正相结合,为捕获复杂的、部分已知的系统动力学提供了一种很有前途的方法。然而,确保学习到的校正项的稳定性和物理真实性仍然是一个重大挑战,特别是在使用灵活的函数逼近器(如神经网络)时。这项工作引入了一个李雅普诺夫约束的混合建模框架,该框架确保了依赖于状态的学习参数的有界性。利用非线性控制理论的工具,我们执行李氏导数分析来提取相对程度特征,为未知参数构建参考映射,并将Lyapunov衰减约束直接嵌入模型的训练目标中。我们在一个具有时变污垢的基准CSTR系统上验证了我们的方法,其中传热系数被视为一个不可测量的漂移参数。结果表明,该混合模型能够准确地重建系统轨迹和参数轮廓,同时与预先计算的参考流形产生有界偏差。基于lyapunov的惩罚确保校正项在所有操作条件下保持物理上的合理和稳定,即使在开环模拟中也是如此。该框架为在安全关键流程系统中部署混合模型提供了严格的基础。
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引用次数: 0
Exploring the Application Potentials of Silatrane Coupling Agents in “Green Tire” Compounding 硅烷偶联剂在“绿色轮胎”复合中的应用潜力探讨
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c03135
Myong Joon Oh*, , , Rafał Januszewski, , , Sybill Ilisch, , , Joanna Ortyl, , and , Ireneusz Kownacki*, 

Herein, we report an optimized synthetic pathway and application of S-functionalized 3,7,10-trimethylsilatrane derivatives (Sil69, Sil266, and SilNXT) as silatrane coupling agents (SilCAs) dedicated to preparation of SSBR/BR/SiO2 composites. The tire performance of silatrane-based elastomers was compared to reference samples prepared with commercial triethoxysilyl compounds─Si 69, Si 266, and NXT. We discovered that the melting point of SilCAs can critically affect the degree of silica surface coverage during rubber mixing, as indicated by bound rubber content and the Payne effect. Furthermore, we proved vulcanization accelerating properties of the silatranyl moiety, as well as trialcoholamine through model reactions. The unique chemistry of the cage-shaped silica-binding group allowed us to achieve with SilNXT, 14% greater tensile strength, 8% higher wet traction, and comparable rolling resistance and abrasion resistance, in reference to NXT.

本文报道了s功能化的3,7,10-三甲基硅烷衍生物(Sil69, Sil266和SilNXT)作为硅烷偶联剂(SilCAs)用于制备SSBR/BR/SiO2复合材料的优化合成途径和应用。将硅烷基弹性体的轮胎性能与商用三乙氧基硅基化合物(Si 69、Si 266和NXT)制备的参考样品进行了比较。我们发现,在橡胶混合过程中,硅橡胶的熔点对二氧化硅表面覆盖程度有重要影响,这可以通过结合橡胶含量和Payne效应来证明。此外,我们通过模型反应证明了硅烷基部分和三醇胺的硫化加速性能。与NXT相比,笼形硅结合组的独特化学性质使SilNXT的抗拉强度提高了14%,湿牵引力提高了8%,并且具有相当的滚动阻力和耐磨性。
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引用次数: 0
Nonparametric Dynamic Inner Kernel-Regularized Latent Variable Regression Algorithm for Process Modeling 过程建模的非参数动态内核正则化潜变量回归算法
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c03622
Xiaoyu Sun, , , Ali Cinar*, , , Mudassir Rashid, , and , Xia Yu, 

Multivariate statistical methods are important for establishing the relationship between variables in a dynamic process. However, attention is rarely paid to utilizing prior knowledge and identifying the degree of process dynamics while extracting latent variables (LVs), which are vital in practice for improving modeling efficiency. In this article, a novel nonparametric dynamic inner LV regression algorithm is proposed for process modeling by extracting explicit dynamic LVs from highly correlated process and quality data. The inner-dynamic structure between LVs is modeled as an impulse response, where the model order defines the degree of dynamics in the process. The estimation of the inner model with a nonparametric system identification technique enables the model to achieve a good balance between model complexity and flexibility, thus realizing the estimation of the degree of dynamics in the process and ensuring the consistency of model performance. Prior knowledge of the impulse response is incorporated by a kernel-based regularization technique while searching for the inner model within an infinite-dimensional space to enhance the smoothness and stability of the model. Besides, prior knowledge is integrated into the progress of dynamic LV extraction as well, thereby improving the numerical properties of the dynamic LV regression model. Case studies based on chemical and biological processes are presented to demonstrate the effectiveness of the proposed method.

多元统计方法对于建立动态过程中变量之间的关系具有重要意义。然而,在提取潜在变量(lv)的过程中,很少注意到利用先验知识和识别过程的动态程度,而这在实践中对提高建模效率至关重要。本文提出了一种新的非参数动态内LV回归算法,通过从高度相关的过程和质量数据中提取显式动态LV来进行过程建模。lv之间的内部动态结构被建模为脉冲响应,其中模型阶数定义了过程中的动态程度。利用非参数系统辨识技术对内部模型进行估计,使模型能够很好地平衡模型的复杂性和灵活性,从而实现对过程中动态程度的估计,保证模型性能的一致性。利用基于核的正则化技术结合脉冲响应的先验知识,在无限维空间中搜索内部模型,增强了模型的平滑性和稳定性。此外,在动态LV提取过程中也融入了先验知识,从而提高了动态LV回归模型的数值性质。基于化学和生物过程的案例研究证明了所提出方法的有效性。
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引用次数: 0
Synthesis and Performance of Vinyl Butadiene-Pentadiene Copolymers with Tunable Melting Points Based on Cobalt Catalytic Systems: Toward Low-Melting, High-Strength, and High-Toughness Syndiotactic 1,2-Polybutadiene 基于钴催化体系的熔点可调丁二烯-戊二烯共聚物的合成与性能:向低熔点、高强度、高韧性的同规1,2-聚丁二烯方向发展
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c02720
Erbo Liu, , , Xinrui Li, , , Ao Zhang, , , Jian Tang*, , and , Jing Hua*, 

In this study, a series of vinyl-rich butadiene–isoprene copolymers was synthesized using a commercially available cobalt naphthenate/triisobutylaluminum/carbon disulfide/water catalytic system. Incorporation of isoprene lowered the melting point and enabled a continuous transition from semicrystalline plastics to amorphous elastomers, improving the processability of high-vinyl 1,2-polybutadiene. The copolymer sequence structure was elucidated in detail by 1D and 2D NMR spectroscopy, and their microstructure, morphology, and mechanical properties were systematically characterized. The results showed that higher 1,2-polybutadiene content increased the modulus, low isoprene contents enhanced toughness and strength (tensile strength up to 13.5 MPa), and high isoprene contents imparted rubber-like behavior with favorable dynamic viscoelasticity.

本研究采用市售的环烷酸钴/三异丁基铝/二硫化碳/水催化体系合成了一系列富乙烯基的丁二烯-异戊二烯共聚物。异戊二烯的加入降低了熔点,使半结晶塑料能够连续过渡到非晶态弹性体,提高了高乙烯基1,2-聚丁二烯的可加工性。利用一维和二维核磁共振光谱对共聚物的序列结构进行了详细分析,并对其微观结构、形貌和力学性能进行了系统表征。结果表明,较高的1,2-聚丁二烯含量提高了材料的模量,较低的异戊二烯含量提高了材料的韧性和强度(抗拉强度可达13.5 MPa),较高的异戊二烯含量使材料具有橡胶样性能,具有良好的动态粘弹性。
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引用次数: 0
Design of Bifunctional Catalyst and Kinetic Analysis for Glycerol Conversion to Propylene Glycol via Coupled Aqueous-Phase Reforming and Hydrogenolysis 双功能催化剂设计及水相重整-氢解耦合甘油制丙二醇动力学分析
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c03523
Rima Salsabila, , , Muhammad Hafidz, , , Akmal A. Pratama, , , Yanni Sudiyani, , , Lisendra Marbelia, , and , Hanifrahmawan Sudibyo*, 

This study reports the development of bifunctional catalysts for the selective conversion of glycerol into propylene glycol (PG) via catalytic transfer hydrogenolysis (CTH) coupled with in situ hydrogen provision via aqueous-phase reforming (APR). A structured four-stage experimental framework was adopted, comprising catalyst support screening, active metal composition optimization, reusability evaluation, and kinetic analysis. Screening of natural clay minerals (alumina, montmorillonite, kaolinite, Illite, and attapulgite) under APR–CTH conditions (250 °C, 6 h, and 20% v/v glycerol) identified alumina as the most effective support, owing to its amphoteric surface properties, strong metal–support interactions, and structural stability. Subsequent optimization using an augmented simplex centroid design revealed Cu–Mg/Al2O3 as the optimal formulation, achieving 86.16% glycerol conversion and 43.81% PG yield, while minimizing byproduct formation. Notably, Ni was excluded from the optimum composition due to its negative effect on PG selectivity and tendency to promote unselective hydrogenolysis. The optimized Cu–Mg/Al2O3 catalyst exhibited stable performance across ten consecutive cycles, maintaining a turnover frequency of 8.17 h–1 and a turnover number of 49.01 mol product per mol active site, underscoring its robustness and reusability. Kinetic modeling using a Langmuir–Hinshelwood framework revealed that glycerol reforming and hydrogenolysis to PG occurred primarily on basic sites with moderate activation energies (29.49–40.18 kJ·mol–1), while undesired PG hydrogenolysis to 2-propanol was confined to acidic sites with a significantly higher barrier (219.78 kJ·mol–1). This work establishes Cu–Mg/Al2O3 as a promising bifunctional catalyst and provides mechanistic and kinetic insights that advance the sustainable valorization of glycerol into PG, aligning with Sustainable Development Goals 12 and 13.

本研究报道了通过催化转移氢解(CTH)和水相重整(APR)原位供氢,将甘油选择性转化为丙二醇(PG)的双功能催化剂的开发。采用四阶段结构实验框架,包括催化剂载体筛选、活性金属成分优化、可重用性评价和动力学分析。在APR-CTH条件下(250°C, 6 h, 20% v/v甘油)筛选天然粘土矿物(氧化铝,蒙脱土,高岭石,伊利石和凹凸棒石),由于氧化铝的两性表面特性,强金属-载体相互作用和结构稳定性,确定氧化铝是最有效的载体。随后使用增强单形质心设计进行优化,发现Cu-Mg /Al2O3为最佳配方,可实现86.16%的甘油转化率和43.81%的PG收率,同时最大限度地减少副产物的产生。值得注意的是,Ni被排除在最佳组成之外,因为它对PG的选择性有负面影响,并且倾向于促进非选择性氢解。优化后的Cu-Mg /Al2O3催化剂在连续10个循环中表现出稳定的性能,周转率为8.17 h-1,每mol活性位点的周转率为49.01 mol产物,具有较强的鲁棒性和可重复使用性。基于Langmuir-Hinshelwood框架的动力学模型表明,甘油重组和氢解生成PG主要发生在活化能中等的碱性位点(29.49 ~ 40.18 kJ·mol-1),而不需要的PG氢解生成2-丙醇则局限于具有较高势垒的酸性位点(219.78 kJ·mol-1)。这项工作确立了Cu-Mg /Al2O3作为一种有前景的双功能催化剂,并提供了促进甘油可持续增值为PG的机制和动力学见解,与可持续发展目标12和13保持一致。
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引用次数: 0
Lithium Extraction from Acidic Salt Lake Brine Using Solvent Extraction to Prepare Lithium Carbonate: Process Optimization and Mechanism Analysis 溶剂萃取法从酸性盐湖盐水中提取锂制备碳酸锂:工艺优化及机理分析
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c03096
Wenya Wang, , , Yuan Hu, , , Lijing Zhang, , and , Gang Chen*, 

This study proposed a simplified process in which FeCl3 was directly dissolved in actual acidic salt-lake brine, in contrast to the conventional tributyl phosphate (TBP)/FeCl3 extraction system that requires predissolving FeCl3 in an acidic, saturated MgCl2 solution prior to mixing with TBP to prepare the Fe3+-loaded organic phase. This modification streamlined the operational procedure and significantly reduced the rate of reagent consumption. Under optimized conditions (organic-to-aqueous phase ratio = 2, 70 vol % TBP, Fe/Li molar ratio = 1.5), the process achieved a lithium-extraction efficiency of 93.34%. The extraction mechanism of Li+, which involves cation exchange and coordination between TBP and Li+, was elucidated by Fourier-transform infrared spectroscopy and nuclear magnetic-resonance analysis. Furthermore, lithium carbonate with a purity of 97.48% was obtained from the stripping solution. Overall, this work provides a practical basis for the design and optimization of lithium extraction from salt-lake brine with high Mg/Li ratios.

传统的磷酸三丁酯(TBP)/FeCl3萃取系统需要在酸性饱和MgCl2溶液中预溶FeCl3,然后与TBP混合,以制备负载Fe3+的有机相,而本研究提出了一种简化的工艺,将FeCl3直接溶解在实际的酸性盐湖卤水中。这种改进简化了操作程序,并显著降低了试剂的消耗率。在有机水相比为2,70 vol % TBP, Fe/Li摩尔比为1.5的优化条件下,该工艺的锂萃取效率为93.34%。傅里叶变换红外光谱和核磁共振分析证实了TBP与Li+之间的阳离子交换和配位反应是Li+的萃取机制。从汽提液中得到纯度为97.48%的碳酸锂。本研究为高Mg/Li比盐湖卤水提锂工艺的设计与优化提供了实践依据。
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引用次数: 0
Kinetic Modeling of Hydrothermal Aging Deactivation of a Pt–Pd-Based Wiremesh Catalyst as a Motorcycle Emission Control System 摩托车排放控制系统中pt - pd基线网催化剂水热老化失活动力学建模
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1021/acs.iecr.5c03520
Ahmad Kouzehli, , , Tayebeh Hamzehlouyan*, , and , Farhad Khorasheh, 

Motorcycle oxidation catalysts can reduce urban CO and VOC emissions by over 80%, but their catalytic performance progressively degrades due to hydrothermal aging and active metal sintering. This work presents a kinetic study of CO and propylene oxidation over fresh and hydrothermally aged Pt–Pd-based motorcycle catalysts with a wiremesh structure, using a global kinetic modeling approach. Incorporating surface intermediate formation and desorption successfully reproduced the characteristic two-step CO light–off behavior in the presence of propylene, in good agreement with experimental data (R2 > 0.92). Despite notable variations in experimentally determined activation energies under different oxygen contents, a single set of kinetic parameters─scaled with catalytic surface area─accurately described the oxidation reactions for both fresh and aged catalysts. This finding indicates that hydrothermal aging primarily reduces the available active surface area rather than altering the intrinsic reaction pathways. An empirical polynomial correlation between normalized activity and aging temperature predicted a rapid activity loss exceeding 50% between 750 and 900 °C, revealing substantial deactivation in the early stages of aging. Aging model results further showed that after hydrothermal treatment at 920 °C under reducing conditions and 980 °C under oxidizing conditions, the catalyst activity stabilized, with no further deactivation observed.

摩托车氧化催化剂可使城市CO和VOC排放量减少80%以上,但由于水热老化和活性金属烧结,其催化性能逐渐下降。这项工作提出了CO和丙烯氧化的动力学研究新鲜和水热老化pt - pd摩托车催化剂与钢丝网结构,使用全局动力学建模方法。结合表面中间体的形成和解吸成功地再现了丙烯存在下两步一氧化碳点燃行为的特征,与实验数据很好地吻合(R2 > 0.92)。尽管在不同氧含量下实验测定的活化能有显著的变化,但一组动力学参数──按催化表面积的比例──准确地描述了新鲜和陈化催化剂的氧化反应。这一发现表明,热液老化主要减少了有效表面积,而不是改变了固有的反应途径。归一化活度与时效温度之间的经验多项式相关性预测,在750至900℃之间,活度损失超过50%,表明在时效早期阶段存在大量失活。老化模型结果进一步表明,在920℃的还原条件和980℃的氧化条件下进行水热处理后,催化剂活性趋于稳定,没有进一步失活。
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引用次数: 0
An Industrial Perspective on Applying Process Knowledge and Mathematical Programming for RTO, MPC, NMPC, and Power Scheduling 从工业角度看过程知识和数学规划在RTO、MPC、NMPC和电力调度中的应用
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-02 DOI: 10.1021/acs.iecr.5c04014
Rahul Bindlish*, 

This paper presents an industrial perspective on implementing real-time optimization (RTO), model predictive control (MPC), nonlinear model predictive control (NMPC), and power scheduling in chemical and power plants. It emphasizes integrating process knowledge with mathematical programming for sustained value creation and operational excellence. Three important classes of problems are examined with an emphasis on attaining process objectives in an industrial setting with measured and unmeasured disturbances. Process modeling details are chosen based on plant objectives and available process information for sustained value creation. Mathematical programming techniques and approximations are made to ensure global optimality and robustness. Solution implementation details are chosen after taking process characteristics and distributed control system (DCS) for plant into account.

本文从工业的角度介绍了在化工和电厂中实施实时优化(RTO)、模型预测控制(MPC)、非线性模型预测控制(NMPC)和电力调度。它强调将过程知识与数学规划相结合,以实现持续的价值创造和卓越的运营。研究了三种重要的问题,重点是在具有测量和未测量干扰的工业环境中实现过程目标。过程建模细节是根据工厂目标和可获得的过程信息来选择的,以实现持续的价值创造。采用数学规划技术和近似来确保全局最优性和鲁棒性。在选择解决方案实施细节时,考虑了工厂的工艺特点和集散控制系统(DCS)。
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引用次数: 0
Information Theory-Based Sensor Placement for Data Reconciliation with Uncertain Models 基于信息理论的不确定模型数据协调传感器布置
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-02 DOI: 10.1021/acs.iecr.5c01957
Brijesh Kumar,  and , Mani Bhushan*, 

Data reconciliation adjusts noisy measurements from plants using a known process model. Traditional methods for the data reconciliation problem assume a perfect model. This assumption does not hold in many situations. This work proposes a Symmetric Kullback–Leibler Divergence (SKLD)-based Sensor Placement Design (SPD) for data reconciliation under model uncertainty. The uncertainties are modeled as bounded or stochastic uncertainties for two scenarios: uncertainty only during design or during both design and operation. The resulting integer programming SPD problems are reformulated as computationally tractable problem formulations using semidefinite programming. The approach is demonstrated on two case studies: (i) Go Yang water distribution network and (ii) Steam metering network, which show that neglecting model uncertainty results in suboptimal placements and reduced accuracy of estimates.

数据调节使用已知过程模型调整来自工厂的噪声测量。传统的数据协调方法假设了一个完美的模型。这种假设在很多情况下并不成立。本文提出了一种基于对称Kullback-Leibler散度(SKLD)的传感器放置设计(SPD),用于模型不确定性下的数据协调。不确定性建模为两种情况下的有界不确定性或随机不确定性:仅在设计期间的不确定性或在设计和运行期间的不确定性。将得到的整数规划SPD问题用半定规划重新表述为计算上可处理的问题。该方法在两个案例研究中得到了证明:(i) Go Yang配水网络和(ii)蒸汽计量网络,这表明忽略模型不确定性会导致次优配置和估计精度降低。
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引用次数: 0
Valorization of Biomass-Derived Lignin into Hydrogels for Soil Hydration and Slow-Release Fertilization 生物质木质素转化为水凝胶的土壤水化和缓释施肥
IF 3.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-01 DOI: 10.1021/acs.iecr.5c03927
Tarun Kumar Gayen, , , Sudhir G Warkar*, , and , Mohammad Amdad Ali*, 

In this study, lignin was extracted and isolated from agricultural waste mustard stalks by using an alkaline method. Subsequently, the isolated lignin polymers were chemically crosslinked using epichlorohydrin to produce hydrogels. The viscosity-average molecular weight of the extracted lignin was determined to be 27,725 g/mol using the Mark–Houwink–Sakurada equation. The lignin hydrogel with 6 g of lignin and 1 mL of ECH exhibited a swelling index of 253% and a gel fraction of 57%. Rheological analysis also confirmed the formation of lignin hydrogel with a larger storage modulus than loss modulus. The Young modulus, tensile strength, and breakpoint were observed to be ∼1005 Pa, ∼141 Pa, and ∼10%, respectively. When incorporated into soil, this hydrogel extended water retention by up to 10 days compared to the control. As a proof of concept, potassium was loaded into the lignin hydrogel via an in situ method, and its release behavior was evaluated using various kinetic models. The Peppas–Sahlin model provided the best fit, with a correlation coefficient (R2) of 0.99, indicating that potassium release followed Fickian diffusion as the dominant mechanism. Biodegradation studies revealed a residual dry mass of 82.74% after 60 days of being buried in soil, confirming partial degradability. Furthermore, phytotoxicity tests demonstrated that the hydrogel was nontoxic to plants. Therefore, lignin-based hydrogels present a sustainable solution for agriculture, combining efficient water retention and controlled nutrient release to enhance crop growth, particularly in arid regions. This approach not only adds value to biomass but also contributes to circular bioeconomy efforts aimed at reducing the environmental impact and enhancing resource efficiency in modern agriculture.

以农业废弃芥菜秸秆为原料,采用碱法提取分离木质素。随后,分离的木质素聚合物用环氧氯丙烷化学交联制成水凝胶。利用Mark-Houwink-Sakurada方程测定木质素的粘度-平均分子量为27,725 g/mol。加入6 g木质素和1 mL ECH的木质素水凝胶肿胀指数为253%,凝胶率为57%。流变学分析也证实木质素水凝胶的储存模量大于损失模量。杨氏模量、抗拉强度和断点分别为~ 1005 Pa、~ 141 Pa和~ 10%。当掺入土壤时,与对照相比,这种水凝胶的保水时间延长了10天。作为概念验证,通过原位方法将钾加载到木质素水凝胶中,并使用各种动力学模型评估其释放行为。Peppas-Sahlin模型拟合最佳,相关系数(R2)为0.99,表明钾的释放以Fickian扩散为主。生物降解研究表明,在土壤中埋藏60天后,剩余干质量为82.74%,证实了部分降解性。此外,植物毒性试验表明,水凝胶对植物无毒。因此,木质素基水凝胶为农业提供了一种可持续的解决方案,结合了有效的保水和控制养分释放来促进作物生长,特别是在干旱地区。这种方法不仅增加了生物质的价值,而且有助于旨在减少环境影响和提高现代农业资源效率的循环生物经济努力。
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引用次数: 0
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