Due to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious. Therefore, it is a research hotspot to explore the numerical solution of fractional-order WBK equation. The main goal of this study is to provide an efficient method for the fractional-in-space coupled WBK equations on unbounded domain and discover some novel anomalous transmission behaviors. First, the numerical solution is compared with the exact solution to determine the validity of the proposed method on large time-spatial domain. Then, anomalous transmission of waves propagation of the fractional WBK equation is numerically simulated, and the influence of different fractional-order derivatives on wave propagation of the WBK equation is researched. Some novel anomalous transmission behaviors of wave propagation of the fractional WBK equation on unbounded domain are shown.
{"title":"Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain","authors":"Li-Fang Zhao, Wei Zhang","doi":"10.1515/phys-2024-0071","DOIUrl":"https://doi.org/10.1515/phys-2024-0071","url":null,"abstract":"Due to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious. Therefore, it is a research hotspot to explore the numerical solution of fractional-order WBK equation. The main goal of this study is to provide an efficient method for the fractional-in-space coupled WBK equations on unbounded domain and discover some novel anomalous transmission behaviors. First, the numerical solution is compared with the exact solution to determine the validity of the proposed method on large time-spatial domain. Then, anomalous transmission of waves propagation of the fractional WBK equation is numerically simulated, and the influence of different fractional-order derivatives on wave propagation of the WBK equation is researched. Some novel anomalous transmission behaviors of wave propagation of the fractional WBK equation on unbounded domain are shown.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"315 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Adnan Asghar, Sumera Dero, Liaquat Ali Lund, Zahir Shah, Mansoor H. Alshehri, Narcisa Vrinceanu
The significance of the study comes in the fact that it investigates complex fluid dynamics and magnetohydrodynamics phenomena, which have the potential to be applied in a variety of domains, such as physics, engineering, and materials science. Their exceptional physical significance stems from their ability to combine the unique properties of multiple substances to provide the desired functions and performance characteristics. However, in this study, the numerical studies of slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over stretching/shrinking surface were investigated. The main objective of current research is to examine the influence of solid volume percentage of cobalt ferrite, the sharply oriented magnetic field, and velocity slip factors on the behaviour of skin friction and heat transfer subjected to suction effect. Moreover, the study included an analysis of the behaviour of velocity and temperature profiles in relation to the consideration of the magnetic parameter, the solid volume percentage of cobalt ferrite, the Prandtl number, and the thermal radiation parameter. The equations that regulate the system were converted partial differential equations into ordinary differential equations by making use of the relevant similarity variables, and then, it solved with bvp4c MATLAB software. The boundary requirements are satisfied in particular parameter ranges where dual solutions are achieved. Besides, dual solutions were obtained in shrinking zone. At critical points, the two dual solutions intersect; however, after these points, no further solutions are accessible. The heat transfer rate decreased the velocity slip factor, while it increased the thermal slip factor. In addition, the thickness of the thermal boundary layer increased thermal radiation, while simultaneously reducing the Prandtl number. Besides, the temperature profile improves when the value of cobalt ferrite is higher. In summary, according to stability analysis, he first solution is stable and the second solution is unstable.
{"title":"Slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over shrinking/stretching surface","authors":"Adnan Asghar, Sumera Dero, Liaquat Ali Lund, Zahir Shah, Mansoor H. Alshehri, Narcisa Vrinceanu","doi":"10.1515/phys-2024-0052","DOIUrl":"https://doi.org/10.1515/phys-2024-0052","url":null,"abstract":"The significance of the study comes in the fact that it investigates complex fluid dynamics and magnetohydrodynamics phenomena, which have the potential to be applied in a variety of domains, such as physics, engineering, and materials science. Their exceptional physical significance stems from their ability to combine the unique properties of multiple substances to provide the desired functions and performance characteristics. However, in this study, the numerical studies of slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over stretching/shrinking surface were investigated. The main objective of current research is to examine the influence of solid volume percentage of cobalt ferrite, the sharply oriented magnetic field, and velocity slip factors on the behaviour of skin friction and heat transfer subjected to suction effect. Moreover, the study included an analysis of the behaviour of velocity and temperature profiles in relation to the consideration of the magnetic parameter, the solid volume percentage of cobalt ferrite, the Prandtl number, and the thermal radiation parameter. The equations that regulate the system were converted partial differential equations into ordinary differential equations by making use of the relevant similarity variables, and then, it solved with bvp4c MATLAB software. The boundary requirements are satisfied in particular parameter ranges where dual solutions are achieved. Besides, dual solutions were obtained in shrinking zone. At critical points, the two dual solutions intersect; however, after these points, no further solutions are accessible. The heat transfer rate decreased the velocity slip factor, while it increased the thermal slip factor. In addition, the thickness of the thermal boundary layer increased thermal radiation, while simultaneously reducing the Prandtl number. Besides, the temperature profile improves when the value of cobalt ferrite is higher. In summary, according to stability analysis, he first solution is stable and the second solution is unstable.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"70 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Elkhateeb Sobhy Aly, Manoj Singh, Mohammed Ali Aiyashi, Mohammed Daher Albalwi
Monkeypox is a highly infectious disease and spreads very easily, hence posing several health concerns or risks as it may lead to outbreak. This article proposes a new mathematical model to simulate the transmission rate of the monkeypox virus-infected fractional-order differential equations using the Caputo–Fabrizio derivative. The existence, uniqueness, and stability under contraction mapping of the fixed point of the model are discussed using Krasnoselskii’s and Banach’s fixed point theorems. To verify the model proposed, we employ data that record the actual dynamics, and based on these data, the model can capture the observed transmission patterns in Ghana. Also, the analytic algorithm is used to find the result applying the Laplace Adomian decomposition method (LADM). Performance analysis of LADM is made regarding Runge-Kutta fourth order, which is the most commonly employed method for solving second-order ordinary differential equations. This comparison therefore offers information on the truth and reliability of the two techniques toward modeling the transmission pattern of the monkey pox virus. The information obtained through this study provides a better understanding of the antibodies linked to monkeypox virus spreading and provides effective strategies to doctors and politicians. This article helps shape better strategies about combating the impact of monkeypox virus in public health since it makes it easy to predict and prevent the occurrence of the disease.
{"title":"Modeling monkeypox virus transmission: Stability analysis and comparison of analytical techniques","authors":"Elkhateeb Sobhy Aly, Manoj Singh, Mohammed Ali Aiyashi, Mohammed Daher Albalwi","doi":"10.1515/phys-2024-0056","DOIUrl":"https://doi.org/10.1515/phys-2024-0056","url":null,"abstract":"Monkeypox is a highly infectious disease and spreads very easily, hence posing several health concerns or risks as it may lead to outbreak. This article proposes a new mathematical model to simulate the transmission rate of the monkeypox virus-infected fractional-order differential equations using the Caputo–Fabrizio derivative. The existence, uniqueness, and stability under contraction mapping of the fixed point of the model are discussed using Krasnoselskii’s and Banach’s fixed point theorems. To verify the model proposed, we employ data that record the actual dynamics, and based on these data, the model can capture the observed transmission patterns in Ghana. Also, the analytic algorithm is used to find the result applying the Laplace Adomian decomposition method (LADM). Performance analysis of LADM is made regarding Runge-Kutta fourth order, which is the most commonly employed method for solving second-order ordinary differential equations. This comparison therefore offers information on the truth and reliability of the two techniques toward modeling the transmission pattern of the monkey pox virus. The information obtained through this study provides a better understanding of the antibodies linked to monkeypox virus spreading and provides effective strategies to doctors and politicians. This article helps shape better strategies about combating the impact of monkeypox virus in public health since it makes it easy to predict and prevent the occurrence of the disease.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"184 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A question in physics is whether Special Relativity (SR) is the only theory that explains relativistic behavior. SR measures time dilation by a relative velocity between two frames. Laboratory experiments with a single moving body fit this concept. However, GPS satellites and their ground clocks measure time dilation by a velocity relative to a common non-rotating Earth inertial frame. To better understand the conceptual difference, an experimental survey was undertaken. The survey analysis showed that laboratory experiments also fit into the non-rotating Earth frame concept. The laboratory experiments only need to add the Earth rotational velocity to both the laboratory frame and the moving frame. The analysis also revealed that the relative velocity calculation was astonishingly close to the common Earth frame calculation. The common Earth frame then becomes the explanation for all experimental types. And it signifies that a gravity field – moving body interaction causes relativistic effects. The experimental record also contained enough data to draft an empirical kinetic theory different than SR. The “no preferred reference frame” of SR is replaced by “there is a preferred reference frame.” And the preferred frame is the nearby Earth gravity field.
物理学中的一个问题是，狭义相对论（SR）是否是解释相对论行为的唯一理论。狭义相对论通过两个框架之间的相对速度来测量时间膨胀。单个运动物体的实验室实验符合这一概念。然而，全球定位系统卫星及其地面时钟是通过相对于一个共同的非旋转地球惯性框架的速度来测量时间膨胀的。为了更好地理解概念上的差异，我们进行了一项实验调查。调查分析表明，实验室实验也符合非旋转地球框架的概念。实验室实验只需在实验室框架和运动框架中加入地球旋转速度。分析还显示，相对速度计算与共同地球框架计算惊人地接近。于是，共同地球框架成为所有实验类型的解释。这表明重力场-运动物体相互作用会产生相对论效应。实验记录也包含了足够的数据来起草不同于 SR 的经验动力学理论。SR的 "无首选参照系 "被 "有首选参照系 "所取代。而首选参照系就是附近的地球重力场。
{"title":"The kinetic relativity theory – hiding in plain sight","authors":"Mark V. Loen","doi":"10.1515/phys-2024-0053","DOIUrl":"https://doi.org/10.1515/phys-2024-0053","url":null,"abstract":"A question in physics is whether Special Relativity (SR) is the only theory that explains relativistic behavior. SR measures time dilation by a relative velocity between two frames. Laboratory experiments with a single moving body fit this concept. However, GPS satellites and their ground clocks measure time dilation by a velocity relative to a common non-rotating Earth inertial frame. To better understand the conceptual difference, an experimental survey was undertaken. The survey analysis showed that laboratory experiments also fit into the non-rotating Earth frame concept. The laboratory experiments only need to add the Earth rotational velocity to both the laboratory frame and the moving frame. The analysis also revealed that the relative velocity calculation was astonishingly close to the common Earth frame calculation. The common Earth frame then becomes the explanation for all experimental types. And it signifies that a gravity field – moving body interaction causes relativistic effects. The experimental record also contained enough data to draft an empirical kinetic theory different than SR. The “no preferred reference frame” of SR is replaced by “there is a preferred reference frame.” And the preferred frame is the nearby Earth gravity field.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"139 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141936746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shahbaz Juneja, Jasgurpreet Singh Chohan, Raman Kumar, Shubham Sharma, Ahmed Hussien Alawadi, Saurabh Aggarwal, Abhinav Kumar, Fuad A. Awwad, Muhammad Ijaz Khan, Emad A. A. Ismail
The implementation of three-dimensional (3D) printing technology has culminated in a notable rise in productivity and operational effectiveness for manufacturers. Additive manufacturing (AM) is a manufacturing technology that implies an alteration from the conventional approach of material removal. The fundamental idea underlying the AM technique is the gradual buildup of layers (layer-on-layer accumulation). In conventional approaches, every component can have detrimental implications due to the direct interaction between the tool and the workpiece, leading to the loss of heat through friction. The utilisation of 3D printing as a way to surpass conventional processing methods signifies a novel development in several sectors. This method involves the utilisation of unconventional techniques for the fabrication of components. The primary objective of this research is to investigate the chemical vapour jet drilling technique specifically applied to acrylonitrile butadiene styrene (ABS) materials. The intent is to enhance the surface characteristics, or surface finish (SF), and the dimensional accuracy (DA) of ABS workpieces. An evaluation regarding the reliability, repeatability, as well as preciseness of the vapour jet drilling (VJD) process is conducted via the utilisation of experiment and data analysis. The study employed a Taguchi L9 design of experiments to carry out a series of tests aimed at analysing the implications of three independent variables: pressure, flow rate, and standoff distance. The researchers employed a multiresponse optimisation approach to attain an optimal combination of parameters that resulted in a superior SF with DA. Consequently, the overall appeal of the outcome was reached. The process’s capabilities and dependability were assessed by conducting tests on the substrates at their optimal settings. Surface roughness and circularity were measured at numerous locations on the substrates. The study determined that the process capability indices (Cp and Cpk) had values over 1.33 for each of the response parameters, with Cpk values also exceeding 1. The analysis of histograms and capability indices demonstrates that the VJD method, when conducted under optimised conditions, may be categorised as statistically controlled for the processing of ABS materials.
三维（3D）打印技术的应用使制造商的生产率和运营效率显著提高。增材制造（AM）是一种制造技术，意味着改变传统的材料去除方法。增材制造技术的基本思想是层层逐步堆积（逐层堆积）。在传统方法中，由于工具和工件之间的直接相互作用，每个部件都可能产生不利影响，导致热量因摩擦而流失。利用 3D 打印技术超越传统加工方法，标志着多个领域的新发展。这种方法涉及利用非常规技术制造部件。本研究的主要目的是研究专门应用于丙烯腈-丁二烯-苯乙烯（ABS）材料的化学蒸汽喷射钻孔技术。目的是提高 ABS 工件的表面特性或表面光洁度 (SF) 和尺寸精度 (DA)。通过实验和数据分析，对蒸汽喷射钻孔 (VJD) 工艺的可靠性、可重复性和精确性进行了评估。研究采用田口 L9 实验设计法进行了一系列测试，旨在分析压力、流速和间距这三个自变量的影响。研究人员采用了多反应优化方法，以获得最佳参数组合，从而使 SF 与 DA 的效果更佳。因此，成果的整体吸引力得以实现。通过在最佳设置下对基底进行测试，评估了该工艺的能力和可靠性。在基底的多个位置测量了表面粗糙度和圆度。研究结果表明，每个响应参数的工艺能力指数（C p 和 C pk）都超过了 1.33，C pk 值也超过了 1。对直方图和能力指数的分析表明，在优化条件下进行 VJD 方法时，可将其归类为 ABS 材料加工的统计控制方法。
{"title":"Multiresponse optimisation and process capability analysis of chemical vapour jet machining for the acrylonitrile butadiene styrene polymer: Unveiling the morphology","authors":"Shahbaz Juneja, Jasgurpreet Singh Chohan, Raman Kumar, Shubham Sharma, Ahmed Hussien Alawadi, Saurabh Aggarwal, Abhinav Kumar, Fuad A. Awwad, Muhammad Ijaz Khan, Emad A. A. Ismail","doi":"10.1515/phys-2023-0203","DOIUrl":"https://doi.org/10.1515/phys-2023-0203","url":null,"abstract":"The implementation of three-dimensional (3D) printing technology has culminated in a notable rise in productivity and operational effectiveness for manufacturers. Additive manufacturing (AM) is a manufacturing technology that implies an alteration from the conventional approach of material removal. The fundamental idea underlying the AM technique is the gradual buildup of layers (layer-on-layer accumulation). In conventional approaches, every component can have detrimental implications due to the direct interaction between the tool and the workpiece, leading to the loss of heat through friction. The utilisation of 3D printing as a way to surpass conventional processing methods signifies a novel development in several sectors. This method involves the utilisation of unconventional techniques for the fabrication of components. The primary objective of this research is to investigate the chemical vapour jet drilling technique specifically applied to acrylonitrile butadiene styrene (ABS) materials. The intent is to enhance the surface characteristics, or surface finish (SF), and the dimensional accuracy (DA) of ABS workpieces. An evaluation regarding the reliability, repeatability, as well as preciseness of the vapour jet drilling (VJD) process is conducted <jats:italic>via</jats:italic> the utilisation of experiment and data analysis. The study employed a Taguchi L9 design of experiments to carry out a series of tests aimed at analysing the implications of three independent variables: pressure, flow rate, and standoff distance. The researchers employed a multiresponse optimisation approach to attain an optimal combination of parameters that resulted in a superior SF with DA. Consequently, the overall appeal of the outcome was reached. The process’s capabilities and dependability were assessed by conducting tests on the substrates at their optimal settings. Surface roughness and circularity were measured at numerous locations on the substrates. The study determined that the process capability indices (<jats:italic>C</jats:italic> <jats:sub>p</jats:sub> and <jats:italic>C</jats:italic> <jats:sub>pk</jats:sub>) had values over 1.33 for each of the response parameters, with <jats:italic>C</jats:italic> <jats:sub>pk</jats:sub> values also exceeding 1. The analysis of histograms and capability indices demonstrates that the VJD method, when conducted under optimised conditions, may be categorised as statistically controlled for the processing of ABS materials.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"41 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141864314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shina Daniel Oloniiju, Yusuf Olatunji Tijani, Olumuyiwa Otegbeye
The complexity of thermal analysis in practical systems has emerged as a subject of interest in various fields of science and engineering. Extended surfaces, commonly called fins, are crucial cooling and heating mechanisms in many applications, such as refrigerators and power plants. In this study, by using a deterministic approach, we discuss the thermal analysis of conduction, convection, and radiation in the presence of a magnetic force within an extended surface. The present study develops a deep neural network to analyze the mathematical model and to estimate the contributions of each dimensionless model parameter to the thermal dynamics of fins. The deep neural network used in this study makes use of a feedforward architecture in which the weights and biases are updated through backward propagation. The accuracy of the neural network model is validated using results obtained from a spectral-based linearization method. The efficiency rate of the extended surfaces is computed using the neural network and spectral methods. The results obtained demonstrate the accuracy of the neural network-based technique. The findings of this study in relation to the novel mathematical model reveal that utilizing materials with variable thermal conductivity enhances the efficiency rate of the extended surface.
{"title":"Thermal analysis of extended surfaces using deep neural networks","authors":"Shina Daniel Oloniiju, Yusuf Olatunji Tijani, Olumuyiwa Otegbeye","doi":"10.1515/phys-2024-0051","DOIUrl":"https://doi.org/10.1515/phys-2024-0051","url":null,"abstract":"The complexity of thermal analysis in practical systems has emerged as a subject of interest in various fields of science and engineering. Extended surfaces, commonly called fins, are crucial cooling and heating mechanisms in many applications, such as refrigerators and power plants. In this study, by using a deterministic approach, we discuss the thermal analysis of conduction, convection, and radiation in the presence of a magnetic force within an extended surface. The present study develops a deep neural network to analyze the mathematical model and to estimate the contributions of each dimensionless model parameter to the thermal dynamics of fins. The deep neural network used in this study makes use of a feedforward architecture in which the weights and biases are updated through backward propagation. The accuracy of the neural network model is validated using results obtained from a spectral-based linearization method. The efficiency rate of the extended surfaces is computed using the neural network and spectral methods. The results obtained demonstrate the accuracy of the neural network-based technique. The findings of this study in relation to the novel mathematical model reveal that utilizing materials with variable thermal conductivity enhances the efficiency rate of the extended surface.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"25 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141864315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The present study formulates and further examines a steady-state heat diffusion process in a generalized multilayered heterogeneous circular composite. Sufficient boundary and interfacial data are assumed at the endpoints of the circumferential length, and the interfaces, cutting across the respective perfectly welded cylinders. A well-known classical method for solving linear partial differential equations has been sought to derive a compacted solution for the diffusion process in governing heterogeneous cylinders. Certainly, among the significant novel findings of the current study is the acquisition of a generalized series solution for mm-body multilayered heterogeneous circular composites, in addition to the portrayal of simple, yet an efficient method for solution; away from sophisticated numerical methods or integral transform methods that are not always invertible analytically. Moreover, three prototype situations of the structure have been profoundly examined, which are then found to satisfy all imposed structural assumptions. Moreover, the current examination finds relevance in the study and the analysis and design of multilayered bodies in engineering, material science, thermodynamics, and solid mechanics.
本研究提出并进一步研究了广义多层异质圆形复合材料中的稳态热扩散过程。假定在圆周长度的端点和界面上有足够的边界和界面数据，并横切各自完全焊接的圆柱体。研究人员采用著名的线性偏微分方程经典求解方法，得出了异质圆柱体扩散过程的压缩解。当然，当前研究的重要新发现之一是获得了 m m 体多层异质圆形复合材料的广义序列解，此外还描绘了简单而高效的求解方法；摆脱了复杂的数值方法或积分变换方法，这些方法并不总是可反演分析的。此外，还对该结构的三种原型情况进行了深入研究，发现它们满足所有施加的结构假设。此外，当前的研究还与工程学、材料科学、热力学和固体力学中多层体的研究、分析和设计有关。
{"title":"Steady-state thermodynamic process in multilayered heterogeneous cylinder","authors":"Ali M. Mubaraki, Rahmatullah Ibrahim Nuruddeen","doi":"10.1515/phys-2024-0067","DOIUrl":"https://doi.org/10.1515/phys-2024-0067","url":null,"abstract":"The present study formulates and further examines a steady-state heat diffusion process in a generalized multilayered heterogeneous circular composite. Sufficient boundary and interfacial data are assumed at the endpoints of the circumferential length, and the interfaces, cutting across the respective perfectly welded cylinders. A well-known classical method for solving linear partial differential equations has been sought to derive a compacted solution for the diffusion process in governing heterogeneous cylinders. Certainly, among the significant novel findings of the current study is the acquisition of a generalized series solution for <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0067_eq_001.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>m</m:mi> </m:math> <jats:tex-math>m</jats:tex-math> </jats:alternatives> </jats:inline-formula>-body multilayered heterogeneous circular composites, in addition to the portrayal of simple, yet an efficient method for solution; away from sophisticated numerical methods or integral transform methods that are not always invertible analytically. Moreover, three prototype situations of the structure have been profoundly examined, which are then found to satisfy all imposed structural assumptions. Moreover, the current examination finds relevance in the study and the analysis and design of multilayered bodies in engineering, material science, thermodynamics, and solid mechanics.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"65 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141864316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Farwa Waseem, Muhammad Sohail, Nadia Sarhan, Emad Mahrous Awwad, Muhammad Jahangir Khan
This investigation takes into account the flow of a hybrid copper–molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0059_eq_001.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mo>(</m:mo> <m:mi mathvariant="normal">Cu</m:mi> <m:mi mathvariant="normal">–</m:mi> <m:msub> <m:mrow> <m:mi mathvariant="normal">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>left({rm{Cu}}{rm{mbox{--}}}{{rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula>/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0059_eq_002.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of copper <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0059_eq_003.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mo>(</m:mo> <m:mi mathvariant="normal">Cu</m:mi> <m:mo>)</m:mo> </m:math> <jats:tex-math>left({rm{Cu}})</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0059_eq_004.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_phys-2024-0059_eq_005.png"/> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mo>(</m:mo> <m:mi mathvariant="normal">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>{({rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula> nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanof
{"title":"Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon","authors":"Farwa Waseem, Muhammad Sohail, Nadia Sarhan, Emad Mahrous Awwad, Muhammad Jahangir Khan","doi":"10.1515/phys-2024-0059","DOIUrl":"https://doi.org/10.1515/phys-2024-0059","url":null,"abstract":"This investigation takes into account the flow of a hybrid copper–molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_001.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">Cu</m:mi> <m:mi mathvariant=\"normal\">–</m:mi> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>left({rm{Cu}}{rm{mbox{--}}}{{rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula>/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_002.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of copper <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_003.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">Cu</m:mi> <m:mo>)</m:mo> </m:math> <jats:tex-math>left({rm{Cu}})</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_004.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_005.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:msub> <m:mrow> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>{({rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula> nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanof","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"3 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The magnitude of the rate of chemical reactions also depends on the position in the gravitational field where a chemical reaction is being carried out. The rate of chemical reaction conducted at a stronger gravitational field, i.e., near the surface of some heavy planet, is slower than the rate of reaction conducted at a weaker gravitational field, i.e., away from the surface of a heavy plant, provided temperature and pressure are kept constant at two positions in the gravitational field. The effect of gravity on the rates of reactions has been shown by formulating the rate constants from almost all types of reaction rate theories, i.e., transition state theory, collision theory, Rice–Ramsperger–Kassel–Marcus, and Marcus’s theory, in the language of the general theory of relativity. The gravitational transformation of the Boltzmann constant and the energy quantum levels of molecules have been developed quantum mechanically. A gravitational transformation of thermodynamic state functions has been formulated that successfully explains the quasi-equilibrium existing between reactants and the activated complex at different gravitational fields. Gravitational mass dilation has been developed, which explains that at weaker gravitational fields, the transition states possess more kinetic energy to sweep translation on the reaction coordinate, resulting in the faster conversion of reactants into products. The gravitational transformation of the half-life equation shows gravitational time dilation for the half-life period of chemical reactions and thus renders the general theory of relativity and the present theory in accord with each other.
{"title":"Effect of the gravitational field strength on the rate of chemical reactions","authors":"Mirza Wasif Baig","doi":"10.1515/phys-2024-0062","DOIUrl":"https://doi.org/10.1515/phys-2024-0062","url":null,"abstract":"The magnitude of the rate of chemical reactions also depends on the position in the gravitational field where a chemical reaction is being carried out. The rate of chemical reaction conducted at a stronger gravitational field, <jats:italic>i.e.</jats:italic>, near the surface of some heavy planet, is slower than the rate of reaction conducted at a weaker gravitational field, <jats:italic>i.e.</jats:italic>, away from the surface of a heavy plant, provided temperature and pressure are kept constant at two positions in the gravitational field. The effect of gravity on the rates of reactions has been shown by formulating the rate constants from almost all types of reaction rate theories, <jats:italic>i.e.</jats:italic>, transition state theory, collision theory, Rice–Ramsperger–Kassel–Marcus, and Marcus’s theory, in the language of the general theory of relativity. The gravitational transformation of the Boltzmann constant and the energy quantum levels of molecules have been developed quantum mechanically. A gravitational transformation of thermodynamic state functions has been formulated that successfully explains the quasi-equilibrium existing between reactants and the activated complex at different gravitational fields. Gravitational mass dilation has been developed, which explains that at weaker gravitational fields, the transition states possess more kinetic energy to sweep translation on the reaction coordinate, resulting in the faster conversion of reactants into products. The gravitational transformation of the half-life equation shows gravitational time dilation for the half-life period of chemical reactions and thus renders the general theory of relativity and the present theory in accord with each other.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"70 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yanjun Sun, Jialu Wang, Beinan Jia, Long Chang, Yongjun Jian
The convection stability of Maxwell–Cattaneo fluids in a vertical double-diffusive layer is investigated. Maxwell–Cattaneo fluids mean that the response of the heat flux with respect to the temperature gradient satisfies a relaxation time law rather than the classical Fourier one. The Chebyshev collocation method is used to resolve the linearized forms of perturbation equations, leading to the formulation of stability eigenvalue problem. By numerically solving the eigenvalue problem, the neutral stability curves in the a–Gr plane for the different values of solute Rayleigh number RaS are obtained. Results show that increasing the double diffusion effect and Louis number Le can suppress the convective instability. Furthermore, compared with Fourier fluid, the Maxwell–Cattaneo fluids in a vertical slot cause an oscillation on the neutral stability curve. The appearance of Maxwell–Cattaneo effect enhances the convection instability. Meanwhile, it is interesting to find that the Maxwell–Cattaneo effect for convective instability becomes stronger as the Prandtl number rises. That means Prandtl number (Pr) also has a significant effect on convective instability. Moreover, the occurrence of two minima on the neutral curve can be found when Pr reaches 12.
{"title":"Double diffusion convection of Maxwell–Cattaneo fluids in a vertical slot","authors":"Yanjun Sun, Jialu Wang, Beinan Jia, Long Chang, Yongjun Jian","doi":"10.1515/phys-2024-0039","DOIUrl":"https://doi.org/10.1515/phys-2024-0039","url":null,"abstract":"The convection stability of Maxwell–Cattaneo fluids in a vertical double-diffusive layer is investigated. Maxwell–Cattaneo fluids mean that the response of the heat flux with respect to the temperature gradient satisfies a relaxation time law rather than the classical Fourier one. The Chebyshev collocation method is used to resolve the linearized forms of perturbation equations, leading to the formulation of stability eigenvalue problem. By numerically solving the eigenvalue problem, the neutral stability curves in the <jats:italic>a</jats:italic>–Gr plane for the different values of solute Rayleigh number Ra<jats:sub>S</jats:sub> are obtained. Results show that increasing the double diffusion effect and Louis number Le can suppress the convective instability. Furthermore, compared with Fourier fluid, the Maxwell–Cattaneo fluids in a vertical slot cause an oscillation on the neutral stability curve. The appearance of Maxwell–Cattaneo effect enhances the convection instability. Meanwhile, it is interesting to find that the Maxwell–Cattaneo effect for convective instability becomes stronger as the Prandtl number rises. That means Prandtl number (Pr) also has a significant effect on convective instability. Moreover, the occurrence of two minima on the neutral curve can be found when Pr reaches 12.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":"349 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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