Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20240888
Wenqian Wu
This study investigates the synchronization phenomenon inherent to mechanical metronomes. Synchronization properties were probed under diverse conditions, with modifications to parameters such as the number of metronomes, the tabletop material, the additional weight on the platform, and the friction coefficient between the roller and platform. Experimental outcomes demonstrate that the synchronization is significantly influenced by the platform's movement, which is subsequently determined by the properties of both the platform and roller. An analytical modeling approach provided insights into these effects, particularly when analyzing two metronomes placed on a flat platform equipped with rollers. Central to the findings is the revelation that both the coefficient of friction and the mass of supplementary weights play crucial roles in shaping synchronization behavior, a conclusion in line with experimental observations. The numerical segment of the study leveraged the Kuramoto model. Observations centered on the phase variation of resonators and a time-responsive order parameter, shedding light on the role of coupling strength in synchronization and its absence. Overall, this study furnishes a thorough theoretical and experimental exploration of mechanical metronome synchronization, targeting an enhanced understanding and application of the observed phenomenon.
{"title":"Metronome synchronization in the presence of friction","authors":"Wenqian Wu","doi":"10.54254/2753-8818/31/20240888","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20240888","url":null,"abstract":"This study investigates the synchronization phenomenon inherent to mechanical metronomes. Synchronization properties were probed under diverse conditions, with modifications to parameters such as the number of metronomes, the tabletop material, the additional weight on the platform, and the friction coefficient between the roller and platform. Experimental outcomes demonstrate that the synchronization is significantly influenced by the platform's movement, which is subsequently determined by the properties of both the platform and roller. An analytical modeling approach provided insights into these effects, particularly when analyzing two metronomes placed on a flat platform equipped with rollers. Central to the findings is the revelation that both the coefficient of friction and the mass of supplementary weights play crucial roles in shaping synchronization behavior, a conclusion in line with experimental observations. The numerical segment of the study leveraged the Kuramoto model. Observations centered on the phase variation of resonators and a time-responsive order parameter, shedding light on the role of coupling strength in synchronization and its absence. Overall, this study furnishes a thorough theoretical and experimental exploration of mechanical metronome synchronization, targeting an enhanced understanding and application of the observed phenomenon.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"79 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140077587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20240914
Yifei Guan, Simi Liu, Yiwei Zhang
Fractal geometry plays a crucial role in the study of fractals, with wide-ranging applications and it is closely related to architectural design creation, notably in architecture. Fractals are becoming more prevalent in todays society and can be used to describe a variety of extremely irregular items in the actual world. This article aims to provide an overview and analysis of the significant implications of fractal geometry in architecture, exploring its relationship with elements in nature, such as trees. By searching, organizing data, and elucidating examples, the article delves into the origin and basic background of fractal geometry. The use of fractal geometry in architecture demonstrates the perfect symbiosis between fractal and nature through analysis of TOD, the ancient gardens in Suzhou, and other practical applications. One notable fractal algorithm is the L-system, a modeling approach expressing fractal concepts, enabling parameterization and architectural design. Fractal geometry successfully expands possibilities for the harmonious coexistence of architecture and nature, embodying numerous natural features and human-centric ideas.
分形几何在分形研究中发挥着至关重要的作用，其应用范围十分广泛，与建筑设计创作密切相关，尤其是在建筑领域。分形在当今社会越来越普遍，可以用来描述现实世界中各种极不规则的事物。本文旨在概述和分析分形几何在建筑中的重要意义，探讨其与树木等自然元素的关系。文章通过检索、整理资料和阐释实例，深入探讨了分形几何的起源和基本背景。通过对 TOD、苏州古代园林和其他实际应用的分析，分形几何在建筑中的应用展示了分形与自然的完美共生。其中一个著名的分形算法是 L 系统，它是一种表达分形概念的建模方法，可实现参数化和建筑设计。分形几何成功地拓展了建筑与自然和谐共存的可能性，体现了众多自然特征和以人为本的理念。
{"title":"The origin, development, and application of fractal geometry theory in architecture","authors":"Yifei Guan, Simi Liu, Yiwei Zhang","doi":"10.54254/2753-8818/31/20240914","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20240914","url":null,"abstract":"Fractal geometry plays a crucial role in the study of fractals, with wide-ranging applications and it is closely related to architectural design creation, notably in architecture. Fractals are becoming more prevalent in todays society and can be used to describe a variety of extremely irregular items in the actual world. This article aims to provide an overview and analysis of the significant implications of fractal geometry in architecture, exploring its relationship with elements in nature, such as trees. By searching, organizing data, and elucidating examples, the article delves into the origin and basic background of fractal geometry. The use of fractal geometry in architecture demonstrates the perfect symbiosis between fractal and nature through analysis of TOD, the ancient gardens in Suzhou, and other practical applications. One notable fractal algorithm is the L-system, a modeling approach expressing fractal concepts, enabling parameterization and architectural design. Fractal geometry successfully expands possibilities for the harmonious coexistence of architecture and nature, embodying numerous natural features and human-centric ideas.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"2 26","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140258590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241114
Tian Qin
The purpose of this article is to examine how to use the most effective methods to build a portfolio in the face of todays rapid growth in the field of artificial intelligence. The field of Artificial Intelligence is one of the most talked about areas in the world today and one that has changed a lot in recent years. The author will analyze the competitiveness of Nvidia.Corp, Apple.Inc amd Microsoft. Corporations use analytical models related to the stock market and combine positive and negative news about well-known companies in the relevant field to see if they are competitive enough to be added to a portfolio. Ultimately, the efficiency of these methods in terms of revenue is assessed through the final returns. Through evaluation, investors can choose the most reliable model to analyze the direction of stock prices and the value of companies in the process of completing the construction of portfolios.
{"title":"Portfolio selection methods and efficiency research","authors":"Tian Qin","doi":"10.54254/2753-8818/31/20241114","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241114","url":null,"abstract":"The purpose of this article is to examine how to use the most effective methods to build a portfolio in the face of todays rapid growth in the field of artificial intelligence. The field of Artificial Intelligence is one of the most talked about areas in the world today and one that has changed a lot in recent years. The author will analyze the competitiveness of Nvidia.Corp, Apple.Inc amd Microsoft. Corporations use analytical models related to the stock market and combine positive and negative news about well-known companies in the relevant field to see if they are competitive enough to be added to a portfolio. Ultimately, the efficiency of these methods in terms of revenue is assessed through the final returns. Through evaluation, investors can choose the most reliable model to analyze the direction of stock prices and the value of companies in the process of completing the construction of portfolios.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"16 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140260067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20240731
Qiuran Dong, Yifan He
The aim of this research paper is to provide a comprehensive comparison between Riemann integral and Lebesgue integral. Integration is described as the inverse process of differentiation, which is used to determine the original function. Riemann integration is a specific type of definite integral applied to find the exact area under a function graph between two limits in a closed interval. Lebesgue integration, on the other hand, provides a more generalized framework for integration theory. Integrals are essential in mathematical modelling and analysis tools. Studying and comparing the similarities and differences between these two integration methods can help us better understand the essence and properties of integrals, so as to more accurately apply integration methods to solve practical problems. This paper provides a systematic analysis of the basics, definitions, concepts, and properties of Riemann integral and Lebesgue integral. Reasoning, proofs, and examples are consolidated to explain the properties and characteristics of these two integral methods. Finally, this paper explores the strengths and limitations of each integration methods, summarising their advantages and applicability to practical problems and providing insights into their respective computational methods and applicability in different contexts.
{"title":"Comparative study of riemann integral and lebesgue integral in calculus","authors":"Qiuran Dong, Yifan He","doi":"10.54254/2753-8818/31/20240731","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20240731","url":null,"abstract":"The aim of this research paper is to provide a comprehensive comparison between Riemann integral and Lebesgue integral. Integration is described as the inverse process of differentiation, which is used to determine the original function. Riemann integration is a specific type of definite integral applied to find the exact area under a function graph between two limits in a closed interval. Lebesgue integration, on the other hand, provides a more generalized framework for integration theory. Integrals are essential in mathematical modelling and analysis tools. Studying and comparing the similarities and differences between these two integration methods can help us better understand the essence and properties of integrals, so as to more accurately apply integration methods to solve practical problems. This paper provides a systematic analysis of the basics, definitions, concepts, and properties of Riemann integral and Lebesgue integral. Reasoning, proofs, and examples are consolidated to explain the properties and characteristics of these two integral methods. Finally, this paper explores the strengths and limitations of each integration methods, summarising their advantages and applicability to practical problems and providing insights into their respective computational methods and applicability in different contexts.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"6 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140260447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241107
Zhengjie Yan
A major impetus in the early development of group theory in the 19th century was the study of geometrical symmetries. Inspired by the theory regarding orbifold notation developed by John Conway, we understand and analyze the theory of the classification of symmetrical patterns in three different spaces. One of the triumphs was the full understanding of 2-dimensional planar symmetries, precisely, the classification theorem of wallpaper groups. Then we use the same way to classify the symmetrical patterns in spherical and hyperbolic spaces. There were also scattered theories on the general notion called crystallographic groups. In this paper, we reproduce the classical result that there are 17 types of wallpaper groups using a topological method; we also conclude that there are 14 family cases in the spherical space and infinite conditions in the hyperbolic spaces. During this process, we first consider the three different spaces, then, analyze the symmetrical patterns case by case. The characteristic we consider to classify these patterns is orbifold; finally, we use the formulas to calculate the result.
{"title":"On Euclidean, spherical and hyperbolic crystallography","authors":"Zhengjie Yan","doi":"10.54254/2753-8818/31/20241107","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241107","url":null,"abstract":"A major impetus in the early development of group theory in the 19th century was the study of geometrical symmetries. Inspired by the theory regarding orbifold notation developed by John Conway, we understand and analyze the theory of the classification of symmetrical patterns in three different spaces. One of the triumphs was the full understanding of 2-dimensional planar symmetries, precisely, the classification theorem of wallpaper groups. Then we use the same way to classify the symmetrical patterns in spherical and hyperbolic spaces. There were also scattered theories on the general notion called crystallographic groups. In this paper, we reproduce the classical result that there are 17 types of wallpaper groups using a topological method; we also conclude that there are 14 family cases in the spherical space and infinite conditions in the hyperbolic spaces. During this process, we first consider the three different spaces, then, analyze the symmetrical patterns case by case. The characteristic we consider to classify these patterns is orbifold; finally, we use the formulas to calculate the result.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"44 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140259235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241171
Zhihui Fan, Zhixuan You
Network intrusion detection refers to monitoring and analysing network traffic, system logs and other information to identify abnormal behaviours and attacks in the network, and take timely and appropriate countermeasures to protect the security and stability of the network. This paper investigates the application of seven machine learning methods in network intrusion detection, and evaluates each model by indicators such as precision, accuracy, recall and F1 score. The results show that XGBoost, Random Forest and Decision Tree models have the best prediction results, while Support Vector Machines and Plain Bayes models have poor prediction results. XGBoost, Random Forest and Decision Tree models all belong to the category of integrated learning, which have strong generalisation ability and robustness, can handle high-dimensional and complex datasets and are not prone to overfitting. In addition, they are able to handle non-linear relationships and are suitable for complex classification problems. Catboost and logistic regression models have better prediction results, but their prediction results are also affected by feature engineering. They may under- or over-fit when dealing with high-dimensional, complex datasets. Support Vector Machines and Plain Bayesian Models have poorer prediction results, which is related to their limitations. Support vector machines may experience computational difficulties when dealing with high-dimensional, complex datasets and are weak in dealing with non-linear relationships. The plain Bayesian model assumes that the features are independent of each other, which may not hold true in practical applications, thus affecting the prediction results. The conclusions of this paper are instructive for research and application in the field of network security, and can provide reference and inspiration for research in related fields.
网络入侵检测是指通过监测和分析网络流量、系统日志等信息，识别网络中的异常行为和攻击行为，并及时采取相应的应对措施，以保护网络的安全和稳定。本文研究了七种机器学习方法在网络入侵检测中的应用，并通过精度、准确率、召回率和 F1 分数等指标对各个模型进行了评估。结果表明，XGBoost、随机森林和决策树模型的预测效果最好，而支持向量机和普通贝叶斯模型的预测效果较差。XGBoost 模型、随机森林模型和决策树模型都属于综合学习的范畴，具有很强的泛化能力和鲁棒性，可以处理高维和复杂的数据集，而且不容易过度拟合。此外，它们还能处理非线性关系，适用于复杂的分类问题。Catboost 和逻辑回归模型具有更好的预测结果，但它们的预测结果也会受到特征工程的影响。在处理高维复杂数据集时，它们可能会拟合不足或拟合过度。支持向量机和普通贝叶斯模型的预测结果较差，这与它们的局限性有关。支持向量机在处理高维、复杂数据集时可能会遇到计算上的困难，而且在处理非线性关系时能力较弱。普通贝叶斯模型假定特征是相互独立的，这在实际应用中可能不成立，从而影响预测结果。本文的结论对网络安全领域的研究和应用具有指导意义，可为相关领域的研究提供借鉴和启发。
{"title":"Research on network intrusion detection based on XGBoost algorithm and multiple machine learning algorithms","authors":"Zhihui Fan, Zhixuan You","doi":"10.54254/2753-8818/31/20241171","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241171","url":null,"abstract":"Network intrusion detection refers to monitoring and analysing network traffic, system logs and other information to identify abnormal behaviours and attacks in the network, and take timely and appropriate countermeasures to protect the security and stability of the network. This paper investigates the application of seven machine learning methods in network intrusion detection, and evaluates each model by indicators such as precision, accuracy, recall and F1 score. The results show that XGBoost, Random Forest and Decision Tree models have the best prediction results, while Support Vector Machines and Plain Bayes models have poor prediction results. XGBoost, Random Forest and Decision Tree models all belong to the category of integrated learning, which have strong generalisation ability and robustness, can handle high-dimensional and complex datasets and are not prone to overfitting. In addition, they are able to handle non-linear relationships and are suitable for complex classification problems. Catboost and logistic regression models have better prediction results, but their prediction results are also affected by feature engineering. They may under- or over-fit when dealing with high-dimensional, complex datasets. Support Vector Machines and Plain Bayesian Models have poorer prediction results, which is related to their limitations. Support vector machines may experience computational difficulties when dealing with high-dimensional, complex datasets and are weak in dealing with non-linear relationships. The plain Bayesian model assumes that the features are independent of each other, which may not hold true in practical applications, thus affecting the prediction results. The conclusions of this paper are instructive for research and application in the field of network security, and can provide reference and inspiration for research in related fields.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"30 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140259547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241121
Honghao Yang, Guizhong He
This paper explores the necessary conditions for extremum in both constrained and unconstrained problems by extracting fundamental principles of constraint conditions. We provide a precise geometric understanding of the Lagrange Multiplier, prioritizing analytical insight. Beginning with a geometric interpretation of the gradient, we leverage the expansion of functions and their images to comprehend extremum and detail the Lagrangian derivation process.We expand the base vectors of the constraint surface into those of the full space and use a transition matrix to assess the function's extremum. This demonstrates how the second derivative matrix is transformed into its full-space representation to discern extrema in optimization problems. Additionally, we introduce incremental variables to optimize the second-order derivative matrix in full space, providing a novel perspective to solve extremal necessary conditions.
{"title":"An in-depth analysis and derivation of extremum conditions based on gradient information","authors":"Honghao Yang, Guizhong He","doi":"10.54254/2753-8818/31/20241121","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241121","url":null,"abstract":"This paper explores the necessary conditions for extremum in both constrained and unconstrained problems by extracting fundamental principles of constraint conditions. We provide a precise geometric understanding of the Lagrange Multiplier, prioritizing analytical insight. Beginning with a geometric interpretation of the gradient, we leverage the expansion of functions and their images to comprehend extremum and detail the Lagrangian derivation process.We expand the base vectors of the constraint surface into those of the full space and use a transition matrix to assess the function's extremum. This demonstrates how the second derivative matrix is transformed into its full-space representation to discern extrema in optimization problems. Additionally, we introduce incremental variables to optimize the second-order derivative matrix in full space, providing a novel perspective to solve extremal necessary conditions.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"17 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140259923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241126
Haojie Yang, Ruiqi Yao, Qing Zhu, Jialei Huang
Similar to many luxury goods, the value of sailboats fluctuates with the age of the boat and market conditions. To comprehensively understand the sailboat market, our team utilized web crawlers to collect data on second-hand sailboats and relevant regional factors (economic, geographic, tourism). We established a unified prediction model that integrates sailboat characteristics and regional influences. Using a factor analysis model, combined with a Gradient Boosting Decision Tree (GBDT) regression model, we evaluated the regional impact on second-hand sailboat prices. The combined model demonstrated high accuracy in predicting the prices of monohull and catamaran sailboats. The study further explored the applicability of the model to the Hong Kong market and validated its effectiveness with different datasets. The results indicated substantial demand and tremendous market potential in the Hong Kong market. Finally, through ARIMA time series forecasting, statistical histograms, and correlation analysis, the study revealed relationships between year and price, regional disparities, and key price-influencing factors.
{"title":"Integrating GBDT regression and factor analysis for accurate prediction of used sailboat prices","authors":"Haojie Yang, Ruiqi Yao, Qing Zhu, Jialei Huang","doi":"10.54254/2753-8818/31/20241126","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241126","url":null,"abstract":"Similar to many luxury goods, the value of sailboats fluctuates with the age of the boat and market conditions. To comprehensively understand the sailboat market, our team utilized web crawlers to collect data on second-hand sailboats and relevant regional factors (economic, geographic, tourism). We established a unified prediction model that integrates sailboat characteristics and regional influences. Using a factor analysis model, combined with a Gradient Boosting Decision Tree (GBDT) regression model, we evaluated the regional impact on second-hand sailboat prices. The combined model demonstrated high accuracy in predicting the prices of monohull and catamaran sailboats. The study further explored the applicability of the model to the Hong Kong market and validated its effectiveness with different datasets. The results indicated substantial demand and tremendous market potential in the Hong Kong market. Finally, through ARIMA time series forecasting, statistical histograms, and correlation analysis, the study revealed relationships between year and price, regional disparities, and key price-influencing factors.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"18 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140260037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241141
Ruize Liu
Microchannel heat sink is a potential procedure for scatter heat as a result of its little size and high effectiveness. Thermal resistance and pumping power are two significant parameters to assess the behavior of microchannel heat sink. In this review, heat transfer and fluid behavior have been concentrated mathematically in a microchannel heat sink with the counter stream and different shape of the groove. Four unique cases are discussed in this paper, microchannel heat sink with rectangular groove (R-MCHS), microchannel heat sink with circular groove (C-MCHS), microchannel heat sink with triangular groove (T-MCHS), and straight microchannel heat sink (S-MCHS). Three-dimensional numerical simulation is conducted with the Reynolds number, Re, shifting from 100 to 500 with expanding 100 for each step. As the coolant, Single-stage fluid water streams in the heat sink. The thermal and hydraulic performance of these cases are evaluated by comparing the average temperature of the solid domain, Nusselt number, Thermal Resistance, and Pumping Power. Contrasted with the S-MCHS, the thermal performance of MCHSs with grooves is increased, and the Nusselt number increased at the furrow area. Likewise, the pumping power is bigger for all cases with grooves contrasted and S-MCHS. In all grooved cases, R-MCHS has the lowest average temperature on the bottom surface and the highest average temperature in the solid domain. The C-MCHS has the least thermal resistance for all Re between 100 to 500. In light of the component, the plan standards to move toward the presentation of inclination are proposed.
微通道散热器体积小、效率高，是一种潜在的散热方法。热阻和泵功率是评估微通道散热器性能的两个重要参数。在这篇综述中，热传导和流体行为在具有逆流和不同形状凹槽的微通道散热器中进行了数学集中研究。本文讨论了四种独特的情况，即带矩形凹槽的微通道散热器（R-MCHS）、带圆形凹槽的微通道散热器（C-MCHS）、带三角形凹槽的微通道散热器（T-MCHS）和直形微通道散热器（S-MCHS）。进行了三维数值模拟，雷诺数 Re 从 100 到 500，每一步扩大 100。冷却剂为散热器中的单级流体水流。通过比较固体域的平均温度、努塞尔特数、热阻和泵送功率，对这些情况的热性能和水力性能进行了评估。与 S 型 MCHS 相比，带沟槽的 MCHS 的热性能提高了，沟槽区域的努塞尔特数增加了。同样，所有带沟槽的情况与 S-MCHS 相比，泵送功率都更大。在所有带沟槽的情况下，R-MCHS 的底面平均温度最低，而固域平均温度最高。在所有 Re 值为 100 到 500 的情况下，C-MCHS 的热阻最小。根据这些成分，提出了向倾斜方向发展的计划标准。
{"title":"Thermal-Hydraulic performance of microchannel heat sink designed with counter-flow and different groove shape","authors":"Ruize Liu","doi":"10.54254/2753-8818/31/20241141","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241141","url":null,"abstract":"Microchannel heat sink is a potential procedure for scatter heat as a result of its little size and high effectiveness. Thermal resistance and pumping power are two significant parameters to assess the behavior of microchannel heat sink. In this review, heat transfer and fluid behavior have been concentrated mathematically in a microchannel heat sink with the counter stream and different shape of the groove. Four unique cases are discussed in this paper, microchannel heat sink with rectangular groove (R-MCHS), microchannel heat sink with circular groove (C-MCHS), microchannel heat sink with triangular groove (T-MCHS), and straight microchannel heat sink (S-MCHS). Three-dimensional numerical simulation is conducted with the Reynolds number, Re, shifting from 100 to 500 with expanding 100 for each step. As the coolant, Single-stage fluid water streams in the heat sink. The thermal and hydraulic performance of these cases are evaluated by comparing the average temperature of the solid domain, Nusselt number, Thermal Resistance, and Pumping Power. Contrasted with the S-MCHS, the thermal performance of MCHSs with grooves is increased, and the Nusselt number increased at the furrow area. Likewise, the pumping power is bigger for all cases with grooves contrasted and S-MCHS. In all grooved cases, R-MCHS has the lowest average temperature on the bottom surface and the highest average temperature in the solid domain. The C-MCHS has the least thermal resistance for all Re between 100 to 500. In light of the component, the plan standards to move toward the presentation of inclination are proposed.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"70 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140077786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-07DOI: 10.54254/2753-8818/31/20241145
Alexander Recce
A blood test, called a liquid biopsy is being developed by several research groups for the early detection of cancer. The key challenge in this process is enrichment, or isolation, of the small number of cancer cells in blood serum from other cells. This study uses numerical simulations to design devices that advance the state of art in the enrichment of circulating cancer cells. In particular, the lift forces acting on neutrally buoyant small spherical particles in a Poiseuille flow bounded by a wall are modelled using numerical computation. Specifically, we explore the influence of the Reynolds number, distance to the wall, and particle size on these lift forces, building upon previous research on the Segre-Silberberg effect. By validating the mechanism by which particles concentrate at specific positions within the fluid, we confirm the existence of the Segre-Silberberg effect in this system. Subsequently, we apply a customized 3D model of a filtration device to investigate the Segre-Silberberg effect and Deans effect in a non-Poiseuille flow, which can be applied in liquid cancer biopsy. Our results demonstrate that this flow pattern could potentially be used to separate cancer cells from the mean flow. Finally, we apply the flow separation mechanisms in microfluidic design through a rapid 3D design and computational fluid dynamics (CFD) verification cycle. The popular spiral microfluidic design does not demonstrate strong flow separation pattern in our tests, while the sinusoidal design shows much more promise. Further research is needed to empirically evaluate these designs.
{"title":"Improving liquid cancer biopsy through computer-aided microfluidic device design based on the tubular pinch effect and Deans flow","authors":"Alexander Recce","doi":"10.54254/2753-8818/31/20241145","DOIUrl":"https://doi.org/10.54254/2753-8818/31/20241145","url":null,"abstract":"A blood test, called a liquid biopsy is being developed by several research groups for the early detection of cancer. The key challenge in this process is enrichment, or isolation, of the small number of cancer cells in blood serum from other cells. This study uses numerical simulations to design devices that advance the state of art in the enrichment of circulating cancer cells. In particular, the lift forces acting on neutrally buoyant small spherical particles in a Poiseuille flow bounded by a wall are modelled using numerical computation. Specifically, we explore the influence of the Reynolds number, distance to the wall, and particle size on these lift forces, building upon previous research on the Segre-Silberberg effect. By validating the mechanism by which particles concentrate at specific positions within the fluid, we confirm the existence of the Segre-Silberberg effect in this system. Subsequently, we apply a customized 3D model of a filtration device to investigate the Segre-Silberberg effect and Deans effect in a non-Poiseuille flow, which can be applied in liquid cancer biopsy. Our results demonstrate that this flow pattern could potentially be used to separate cancer cells from the mean flow. Finally, we apply the flow separation mechanisms in microfluidic design through a rapid 3D design and computational fluid dynamics (CFD) verification cycle. The popular spiral microfluidic design does not demonstrate strong flow separation pattern in our tests, while the sinusoidal design shows much more promise. Further research is needed to empirically evaluate these designs.","PeriodicalId":506830,"journal":{"name":"Theoretical and Natural Science","volume":"12 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140077422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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