Powder TechnologyPub Date : 2025-07-20DOI: 10.1016/j.powtec.2025.121432
Ruile Li , Zongyi Deng , Sanpeng Gong , Xiaokun Zhang , Runhui Geng , Xinwen Wang
{"title":"Detachment mechanisms of moist fine coal under vibration","authors":"Ruile Li , Zongyi Deng , Sanpeng Gong , Xiaokun Zhang , Runhui Geng , Xinwen Wang","doi":"10.1016/j.powtec.2025.121432","DOIUrl":"10.1016/j.powtec.2025.121432","url":null,"abstract":"<div><div>Dry screening of wet fine coal remains a critical issue requiring urgent attention within the coal screening industry. Investigating the detachment mechanism of moist fine coal from the surface of coarse coal is essential for overcoming the challenges associated with dry screening. In this study, the detachment behavior of moist fine coal was examined with respect to material properties and vibration parameters using a custom-designed vibration detachment device. The results reveal that moist fines exhibit two distinct detachment behaviors governed by water content and viscosity. Coal-associated veinstone minerals, such as kaolinite, play a significant role in influencing the adhesion and detachment characteristics of fine-grained coal. The adhesion mass of coal increases with gangue mineral content. When the mass of the vein minerals was held constant, no significant difference in coal adhesion mass was observed. However, moist fines composed of calcite and coal were more easily detached than those composed of kaolinite and quartz. No discernible difference in adhesion mass was observed between coal, polyurethane, and Q235 steel. However, the detachment ratio was highest for Q235, followed by polyurethane and coal. Regarding vibration parameters, the detachment ratio increased with vibration intensity. As vibration time increased, the detachment ratio initially increased and then tended to stabilize. At constant vibration intensity, the detachment ratio initially increased with amplitude and subsequently stabilized.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121432"},"PeriodicalIF":4.5,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144695227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-20DOI: 10.1016/j.powtec.2025.121446
Riem Al-Hamadi , Annemarie Lehr , Gábor Janiga , Andreas Seidel-Morgenstern , Dominique Thévenin
{"title":"Experimental investigation of the solid phase residence time distribution in screw extractors","authors":"Riem Al-Hamadi , Annemarie Lehr , Gábor Janiga , Andreas Seidel-Morgenstern , Dominique Thévenin","doi":"10.1016/j.powtec.2025.121446","DOIUrl":"10.1016/j.powtec.2025.121446","url":null,"abstract":"<div><div>A horizontal screw extractor was designed for the continuous counter-current extraction of artemisinin from dried and ground <em>Artemisia (A.) annua</em> L. leaves. Artemisinin is a drug utilised in the treatment of malaria, a life-threatening disease that causes millions of cases and hundreds of thousands of deaths worldwide. This study examines the impact of the screw angle on the residence time distribution of the solid phase, represented by <em>A. annua</em> L. leaves, during the continuous counter-current process within this screw extractor using the tracer method and theoretical model. For this purpose, the screw angle of an original screw is modified and reduced by 10 % and 20 %, leading to two modified screws. The results of the experimental study demonstrate a nearly constant standard deviation of the normalised residence time distribution function, while the mean residence times increase significantly with lower screw angle. This results in Bodenstein numbers greater than 100, approaching a hypothetical plug-flow behaviour with low back-mixing effects and thus enhances an efficient transport of bulk material through the extractor increasing extraction efficiency.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121446"},"PeriodicalIF":4.5,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144715753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121440
Jialiang Zhang , Fengshuang Liu , Jun Fu
{"title":"Study on the longitudinal differential migration mechanism and distribution behavior of maize multiple mixtures on the cleaning device","authors":"Jialiang Zhang , Fengshuang Liu , Jun Fu","doi":"10.1016/j.powtec.2025.121440","DOIUrl":"10.1016/j.powtec.2025.121440","url":null,"abstract":"<div><div>To improve the cleaning performance of maize cleaning devices, the longitudinal migration difference coefficient was selected as the evaluation index for the relative migration behavior between particles. The impurity rate and loss rate were chosen as the indicators for cleaning performance. Computational Fluid Dynamics and Discrete Element Method were used, the effects of airflow velocity, airflow angle, and screen vibration frequency on the relative migration performance of particles in maize mixtures were explored. The correlation between the relative migration performance of maize kernels and impurity particles and the cleaning performance is then determined. The results showed that under vibration frequency conditions, the relative migration performance between particles was strongly correlated with impurity rate and loss rate, with correlation coefficients of −0.91 and 0.93. Under airflow velocity conditions, the corresponding correlation coefficients were − 0.93 and 0.96. These findings provide a new method and technological innovation for improving maize cleaning performance.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121440"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121423
Hyunjong Lee , Davoud Jafari , Apostolos Koutsioukis , Valeria Nicolosi , Bernard J. Geurts , Wessel W. Wits
{"title":"Characterization of thermal properties of ball-milled copper-graphene powder as feedstock for additive manufacturing","authors":"Hyunjong Lee , Davoud Jafari , Apostolos Koutsioukis , Valeria Nicolosi , Bernard J. Geurts , Wessel W. Wits","doi":"10.1016/j.powtec.2025.121423","DOIUrl":"10.1016/j.powtec.2025.121423","url":null,"abstract":"<div><div>Thermal properties of novel powder feedstocks, such as copper-graphene, remain largely unexplored despite their importance in heat dissipation and manufacturability in powder bed-based additive manufacturing (AM) processes. Therefore, this study characterizes the thermal properties of copper, graphene, and copper-graphene composite powder beds produced via ball milling (BM) using differential scanning calorimetry (DSC). Results reveal that BM reduces the effective thermal conductivity (ETC) up to ∼44 % for copper and ∼ 70 % for graphene powders. This is primarily due to the changes in particle morphology and the resulting modification in particle aspect ratio. Similar observations apply if copper and graphene are mixed, with up to ∼33 % reduction in ETC. This reduction is however attributed to the surface modification of the graphene-coated copper particle, providing a smaller contact radius compared to spherical copper and BM copper. This results in less effective heat conduction across the composite powder particle. Additionally, heat conduction through powder beds is analyzed by comparing the measured data with established thermal models, including Maxwell-Garnett approximation and thermal resistance network models. We demonstrate that microstructural modifications in powder beds, driven by particle morphology and surface modifications, substantially impact the ETC of copper-graphene composite powder beds.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121423"},"PeriodicalIF":4.6,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121427
R. Vivek , S. Venkatesh , K. Suresh Babu
{"title":"Investigation on flow pattern and performance of square and cylindrical cyclone by experimental and numerical approach","authors":"R. Vivek , S. Venkatesh , K. Suresh Babu","doi":"10.1016/j.powtec.2025.121427","DOIUrl":"10.1016/j.powtec.2025.121427","url":null,"abstract":"<div><div>Cyclone separators are commonly used for gas–solid separation in industrial processes. Traditional designs, namely square and Stairmand cyclones, exhibit compromises. Square cyclones are compact but have low efficiency with corner-induced recirculation, whereas Stairmand cyclones have better efficiency, but at the cost of a high pressure drop. To overcome these restrictions, this study introduces a series-connected design integrating a square cyclone with a Stairmand cyclone to maximize the overall separation efficiency using a computational-experimental methodology based on aluminum oxide powder with a mean particle diameter of 6.52 μm. The flow was controlled via a variable frequency drive, and the flow behavior was simulated using the Eulerian–Lagrangian approach with Reynolds-averaged Navier–Stokes (RANS) equations and Reynolds Stress Model (RSM). Particle paths were simulated through the Discrete Phase Model (DPM), taking into consideration drag-dominated behavior. Results show that combined setup clearly improves particle capture significantly, reaching an efficiency of 56.5 % at an inlet velocity of 12 m/s, performing better compared to individual square and Stairmand cyclones. The CFD predictions were very close to the experimental results, confirming the flow and separation behavior. The integrated design is more efficient with great potential as a solution for next-generation particulate control systems.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121427"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121443
Ming Li , Wending Li , Gang Li , Donald Lusambo , Zhijian Luo , Haochen Lian , Yuanqi Xu
{"title":"Analysis and prospects of the development status on the dust suppressant research field in the past 20 years","authors":"Ming Li , Wending Li , Gang Li , Donald Lusambo , Zhijian Luo , Haochen Lian , Yuanqi Xu","doi":"10.1016/j.powtec.2025.121443","DOIUrl":"10.1016/j.powtec.2025.121443","url":null,"abstract":"<div><div>To reveal the research progress and development trends in the field of dust suppressants, this paper systematically searched the research literature of “Dust suppressant” included in the Web of Science Core Collection (WOSCC) from 2003 to 2023, and used VOSviewer and CiteSpace to conduct quantitative analysis. The number of publications in the 2017–2023 period is 14 times that of the 2003–2016 period, with China and the United States accounting for 62.5 % and 11.4 %, respectively. The main research content focuses on the development of dust suppressants for specific application scenarios, the characterization and evaluation of dust suppression performance, and the innovations in the mechanisms and effects of dust suppression. The results show that the development of dust suppressants has shifted from a single function to a composite function to meet the functional and performance requirements of complex application scenarios. The selection of dust suppression raw materials has shifted to the secondary utilization of agricultural, industrial and domestic wastes, which improves the environmental protection and economy of dust suppressants and promotes the recycling of resources. The characterization and evaluation methods of dust suppression performance have gradually shifted from a research and development model primarily based on experimental testing to one primarily based on simulation analysis with experimental testing as a supplement. Microbial dust suppressants expand the traditional principle of physical and chemical dust suppression, and innovate the types of dust suppressants through biocalcification, but it is still necessary to further reduce the use cost and improve the biological activity and dust suppression efficiency through optimization research such as strain optimization and multiple synergy. Some novel nanofluid dust suppressants, enzyme dust suppressants and microcapsule dust suppressants have become new research growth points in the field of dust suppression.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121443"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144679689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121434
Kunyu Ma , Shengfu Zhang , Jiahao Zhang , Tianhao Pu , Chen Yin , Mao Chen , Jiating Rao , Chenguang Bai
{"title":"Strength variation of green pellets and pelletizing mechanism in the pelletization process of vanadium–titanium iron concentrate using organic binders","authors":"Kunyu Ma , Shengfu Zhang , Jiahao Zhang , Tianhao Pu , Chen Yin , Mao Chen , Jiating Rao , Chenguang Bai","doi":"10.1016/j.powtec.2025.121434","DOIUrl":"10.1016/j.powtec.2025.121434","url":null,"abstract":"<div><div>To enable low-carbon smelting of vanadium‑titanium iron ore in hydrogen-based shaft furnaces, enhancing green pellet performance via organic binders is critical, which improves the iron content and strength of the charged pellets. This work aims to study the effect of pectin, a new organic binder, on the pelletizing properties of vanadium‑titanium iron concentrates (VTIC) compared with traditional binder bentonite and carboxymethyl cellulose (CMC). Optimal binder ratios were determined as 0.2 wt% for pectin and 0.4 wt% for CMC, with corresponding pelletizing times of 11 min and 14 min, respectively. Pectin exhibited superior pelletizing performance. Herein, we analyzed the adsorption and binding mechanism of organic binders during the formation of VTIC green pellets by using the zeta potential, Fourier transform infrared spectroscopy and molecular dynamics. It was found out that pectin exhibited more suitable water absorption properties between VTIC, which contributed to higher strengths of green pellets than those obtained from the CMC. In pelletizing process, both pectin and CMC were adsorbed onto the VTIC primarily by hydrogen bonding involved in the different functional groups. Specifically, carboxyl groups for pectin and hydroxyl groups for CMC. Molecular dynamics simulation results further elucidated these adsorption processes on crystal surface. The negative effect of excessive organic binder concentration on this adsorption process is explained from the perspective of the hydrogen bond energy generated between different interfaces.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121434"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121429
Ibrahim Saeed Gataa , Baydaa Abed Hussein , S. Mohammad Sajadi , Haydar A.S. Aljaafari , Soheil Salahshour , Sh. Baghaie
{"title":"The influence of initial temperature on the interactions of water/silver nanofluid with SARS virus using molecular dynamics simulation","authors":"Ibrahim Saeed Gataa , Baydaa Abed Hussein , S. Mohammad Sajadi , Haydar A.S. Aljaafari , Soheil Salahshour , Sh. Baghaie","doi":"10.1016/j.powtec.2025.121429","DOIUrl":"10.1016/j.powtec.2025.121429","url":null,"abstract":"<div><div>The mobility and interaction dynamics of viral particles within water/silver nanofluids were significantly affected by the initial temperature, which predominantly affected their kinetic energy. This study utilized molecular dynamics simulations to examine the effect of varying initial temperatures on the interactions between the SARS virus and the water/silver nanofluid. In all modeled samples, equilibrium was achieved after approximately 0.01 ns. The virus demonstrated increased mobility as the temperature rose from 300 K to 330 K, as demonstrated by an increase in Mean Square Displacement from 1.269 Å<sup>2</sup> to 1.656 Å<sup>2</sup> and Diffusion Coefficient from 1.13 Å<sup>2</sup>/ns to 1.434 Å<sup>2</sup>/ns. Consequently, the interaction energy between virus particles and nanofluid components exhibited a surge at approximately 330 K, transitioning from −1284.03 kcal/mol at 300 K to −1198.04 kcal/mol. Both Mean Square Displacement and Diffusion Coefficient experienced a modest decrease beyond 330 K, and the interaction energy values indicated a decrease in interaction strength. This suggests that excessive thermal perturbation may disrupt stable virus-nanofluid interactions. These results underscore the temperature-dependent character of molecular interactions in the system, which could potentially influence future research on the interactions between nanofluids and viruses. Nevertheless, additional research was required to establish a direct correlation between the antiviral efficacy of these molecular dynamics results.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121429"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144695226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121435
Chengcai Wei , Minggao Yu , Haitao Li , Yihao Yao , Gege Hu , Shoutong Diao , Jiachen Wang
{"title":"Dynamics and mechanisms of methane–deposited coal dust–methane continuous explosions: Effects of coal metamorphism and deposition mass","authors":"Chengcai Wei , Minggao Yu , Haitao Li , Yihao Yao , Gege Hu , Shoutong Diao , Jiachen Wang","doi":"10.1016/j.powtec.2025.121435","DOIUrl":"10.1016/j.powtec.2025.121435","url":null,"abstract":"<div><div>Methane–deposited coal dust–methane continuous explosion seriously threatens mine safety and the environment, and its explosion mechanism requires further research. This study employed a self-designed pipeline to examine how coal dust metamorphic degree and deposition mass affect dynamics. Explosion overpressure, flame propagation, and residue characteristics were analyzed. Furthermore, the contribution of each factor to the explosion hazard was quantitatively evaluated using grey relational analysis. Results showed the most severe explosion at 4 g of deposited coal dust. When the methane explosion entered the dust zone, the resulting shock wave entrained dust, intensifying combustion and increasing flame brightness and speed. In the downstream methane-air premixed region, thermal buoyancy, turbulence, and particle motion caused stratified combustion and upward flame deflection. Reflected shock waves led to secondary entrainment and re-ignition of coal dust, producing oscillatory flame propagation. Explosion pressure and flame velocity correlated strongly with coal O/C ratio, volatile matter, and pyrolysis characteristics, confirming that chemical reactivity, volatility, and pyrolysis kinetics govern explosion intensity. Low-rank coals exhibited markedly higher hazard indices than high-rank coals across all metrics. This work elucidates the evolution and mechanisms of methane–coal dust–methane continuous explosions and offers practical guidance for enhancing intrinsic mine safety.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121435"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Powder TechnologyPub Date : 2025-07-19DOI: 10.1016/j.powtec.2025.121438
Changshun Tian , Gang Su , Yunzhang Rao
{"title":"The suppression characteristic and chemical reaction mechanism of calcium carbonate and sodium bicarbonate powder on sulfurous iron ore dust explosions","authors":"Changshun Tian , Gang Su , Yunzhang Rao","doi":"10.1016/j.powtec.2025.121438","DOIUrl":"10.1016/j.powtec.2025.121438","url":null,"abstract":"<div><div>This study investigated the suppression effects and underlying mechanisms of calcium carbonate (CaCO<sub>3</sub>) and sodium bicarbonate (NaHCO<sub>3</sub>) as solid powder suppressants on sulfurous iron ore dust explosions using a self-designed comprehensive thermal analysis method. Results showed that both CaCO<sub>3</sub> and NaHCO<sub>3</sub> effectively suppressed sulfurous iron ore dust explosions. However, at NaHCO<sub>3</sub> mass fractions of ≤20 %, a slight increase in explosion pressure, termed the suppressant enhanced explosion parameter (SEEP) phenomenon, was observed. CaCO<sub>3</sub> primarily suppressed explosions through thermal insulation and heat absorption, while NaHCO<sub>3</sub> achieved suppression through heat absorption, which generated H<sub>2</sub>O and CO<sub>2</sub>, diluting oxygen concentrations, as well as through chemical effects involving sodium atoms (Na·), sodium ions (Na<sup>+</sup>), or sodium compounds participating in the sulfurous iron ore dust explosion reactions. These findings provide a theoretical basis for selecting effective suppressants for sulfurous iron ore dust explosions.</div></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":"466 ","pages":"Article 121438"},"PeriodicalIF":4.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}