Pub Date : 2024-07-02DOI: 10.1142/S0217984924300035
Saurabh Kumar Srivastav, Anindya Das
Topological quantum numbers are often used to characterize the topological order of phase having protected gapless edge modes when the system is kept in a space with the boundary. The famous examples in this category are the quantized electrical Hall conductance and thermal Hall conductance, which encodes the topological order of integer and fractional quantum Hall states. Here, we review the recent thermal transport study of integer and fractional quantum Hall states realized in graphene-based van der Waals heterostructures.
{"title":"Quantized heat flow in graphene quantum Hall phases: Probing the topological order","authors":"Saurabh Kumar Srivastav, Anindya Das","doi":"10.1142/S0217984924300035","DOIUrl":"https://doi.org/10.1142/S0217984924300035","url":null,"abstract":"Topological quantum numbers are often used to characterize the topological order of phase having protected gapless edge modes when the system is kept in a space with the boundary. The famous examples in this category are the quantized electrical Hall conductance and thermal Hall conductance, which encodes the topological order of integer and fractional quantum Hall states. Here, we review the recent thermal transport study of integer and fractional quantum Hall states realized in graphene-based van der Waals heterostructures.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141687347","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}
Pub Date : 2024-06-15DOI: 10.1142/s0217984924504517
Fatih Şevgin, Zeliha Körpınar
In this paper, we construct the photonic dam-break flow problem for [Formula: see text] magnetic fluid in a spherical model. Then, we obtain an optical magnetic transform for the NLSE in hydrodynamical form. By dispersive photonic hydrodynamic representation, normal of surface [Formula: see text] flow is obtained. Thus, we design two-phase [Formula: see text] flow dispersion density in a spherical model. Finally, we have new modeling of dispersive dam break two-phase [Formula: see text] flux.
{"title":"New optical hydrodynamic representation of dispersive two-phase","authors":"Fatih Şevgin, Zeliha Körpınar","doi":"10.1142/s0217984924504517","DOIUrl":"https://doi.org/10.1142/s0217984924504517","url":null,"abstract":"In this paper, we construct the photonic dam-break flow problem for [Formula: see text] magnetic fluid in a spherical model. Then, we obtain an optical magnetic transform for the NLSE in hydrodynamical form. By dispersive photonic hydrodynamic representation, normal of surface [Formula: see text] flow is obtained. Thus, we design two-phase [Formula: see text] flow dispersion density in a spherical model. Finally, we have new modeling of dispersive dam break two-phase [Formula: see text] flux.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141337116","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}
Pub Date : 2024-06-15DOI: 10.1142/s021798492450427x
Hang Zeng, Lu Tang
Starting from the bilinear form of the positive Gardner–Kadomtsev–Petviashvili equation, breather-type and N-breather solutions are obtained with the help of the extended homoclinic test approach. Breather-type, one-breather, two-breather and three-breather solutions are illustrated through 3D plots, density plots and contour plots and some appropriate parameter values have been chosen to better demonstrate their time evolution.
从正 Gardner-Kadomtsev-Petviashvili 方程的双线性形式出发，借助扩展的同室检验方法，得到了呼吸型和 N 呼吸型解决方案。通过三维图、密度图和等值线图说明了呼吸型、单呼吸、双呼吸和三呼吸解，并选择了一些适当的参数值，以更好地展示它们的时间演化过程。
{"title":"Breather-type and N-breather solutions for the positive Gardner-KP equation","authors":"Hang Zeng, Lu Tang","doi":"10.1142/s021798492450427x","DOIUrl":"https://doi.org/10.1142/s021798492450427x","url":null,"abstract":"Starting from the bilinear form of the positive Gardner–Kadomtsev–Petviashvili equation, breather-type and N-breather solutions are obtained with the help of the extended homoclinic test approach. Breather-type, one-breather, two-breather and three-breather solutions are illustrated through 3D plots, density plots and contour plots and some appropriate parameter values have been chosen to better demonstrate their time evolution.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141336412","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}
Pub Date : 2024-06-15DOI: 10.1142/s0217984924504402
A. A. Al Qarni, E. Elsaid, Mohamed R. Eid, A. Abdel‐Aty, A. J. Alqarni, M. Abdel-wahed
This paper inspects the combined effects of heat and mass transfers in a hybridized Williamson viscous nanofluid composed of cadmium telluride (CdTe) and silicon carbide (SiC) nanoparticles in RT42 (Rubitherm) as base fluid in the existence of heat source and thermal radiative aspects. Knowing that the base fluid RT42 is a phase change material (PCM), it is also considered that the surface on which the nanofluid flows is an expandable surface with varying thickness. The influence of chemical reactions process and viscous dissipation on the flow and temperature of the hybridized nanofluid is examined. The parameters’ influences on the problem are evaluated after setting appropriate similarity transformations to transform the collection of major partial differential equations (PDEs) into nondimensional ordinary differential equations (ODEs). The study concludes that the presence of hybridized nanoparticles of CdTe and SiC reduces the horizontal and vertical surface frictional forces of the hybrid nanofluid. The integration of nanoparticles in RT42 enhances heat transfer rates and reduces mass transfer. The thermal radiative variable declines the heat transfer of hybridized nanofluid. The results indicate that altering the variable parameter of surface thickness reduces frictional forces in both directions.
{"title":"Heat transfer evaluation of (CaTe+SiC) hybrid nanofluid flow based RT42 HC (Rubitherm) phase change material: Cooling photovoltaic panels application","authors":"A. A. Al Qarni, E. Elsaid, Mohamed R. Eid, A. Abdel‐Aty, A. J. Alqarni, M. Abdel-wahed","doi":"10.1142/s0217984924504402","DOIUrl":"https://doi.org/10.1142/s0217984924504402","url":null,"abstract":"This paper inspects the combined effects of heat and mass transfers in a hybridized Williamson viscous nanofluid composed of cadmium telluride (CdTe) and silicon carbide (SiC) nanoparticles in RT42 (Rubitherm) as base fluid in the existence of heat source and thermal radiative aspects. Knowing that the base fluid RT42 is a phase change material (PCM), it is also considered that the surface on which the nanofluid flows is an expandable surface with varying thickness. The influence of chemical reactions process and viscous dissipation on the flow and temperature of the hybridized nanofluid is examined. The parameters’ influences on the problem are evaluated after setting appropriate similarity transformations to transform the collection of major partial differential equations (PDEs) into nondimensional ordinary differential equations (ODEs). The study concludes that the presence of hybridized nanoparticles of CdTe and SiC reduces the horizontal and vertical surface frictional forces of the hybrid nanofluid. The integration of nanoparticles in RT42 enhances heat transfer rates and reduces mass transfer. The thermal radiative variable declines the heat transfer of hybridized nanofluid. The results indicate that altering the variable parameter of surface thickness reduces frictional forces in both directions.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141337109","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}
In this study, vibration equations and models were established utilizing D’Alembert’s principle to address the resonance challenge of a rigid rapier loom operating in high-speed reciprocating motion, and the equations were subsequently solved using Galyokin’s methodology. A laboratory apparatus was constructed to evaluate the findings of the first-order vibration frequency under various rapier extension lengths to validate the precision of the theoretical model, which necessitated recalibration. The accuracy of the theoretical model is confirmed by comparing its predicted results with those of the experiments. In this report, the rigid rapier is further examined in order to correct the trapezoidal acceleration within the perspective of the vibration of the rigid rapier influenced by varied rapier head masses. The results demonstrate that as the mass of the rapier head increases, the maximum apex deviation of the rigid rapier during the weft-induced process also escalates. To enhance the stability of the rigid rapier gravitating process and to provide theoretical guidance and design implications in engineering, the theoretical model of this research can also examine the influence of gravity, rapier material, rapier dimension, and other variables on the oscillation of the rigid rapier gravitation process.
{"title":"Theoretical and experimental study of rigid rapier weft insertion vibration","authors":"Youdong Yang, Lingfeng Zhong, Yuanjing Guo, Yaxin Sun, Gan Fang, Hongbo Shen","doi":"10.1142/s021798492442020x","DOIUrl":"https://doi.org/10.1142/s021798492442020x","url":null,"abstract":"In this study, vibration equations and models were established utilizing D’Alembert’s principle to address the resonance challenge of a rigid rapier loom operating in high-speed reciprocating motion, and the equations were subsequently solved using Galyokin’s methodology. A laboratory apparatus was constructed to evaluate the findings of the first-order vibration frequency under various rapier extension lengths to validate the precision of the theoretical model, which necessitated recalibration. The accuracy of the theoretical model is confirmed by comparing its predicted results with those of the experiments. In this report, the rigid rapier is further examined in order to correct the trapezoidal acceleration within the perspective of the vibration of the rigid rapier influenced by varied rapier head masses. The results demonstrate that as the mass of the rapier head increases, the maximum apex deviation of the rigid rapier during the weft-induced process also escalates. To enhance the stability of the rigid rapier gravitating process and to provide theoretical guidance and design implications in engineering, the theoretical model of this research can also examine the influence of gravity, rapier material, rapier dimension, and other variables on the oscillation of the rigid rapier gravitation process.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141338105","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}
Pub Date : 2024-06-12DOI: 10.1142/s0217984924504372
Usman Younas, T. A. Sulaiman, Hajar F. Ismael, Muhammad Amin S. Murad
The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation which consists of the KdV equation and the SK equation is the subject of investigation in this study. The studied equation has rich physical meaning in nonlinear waves. The KdV- type equations hold great importance as a prototypical representation of an infinite-dimensional system that is completely integrable and exactly solvable in the context of nonlinearity. The KdV equation is utilized to describe shallow water waves in a density-stratified ocean, which exhibit weak and nonlinear interactions with long internal waves. The Hirota bilinear method has been used with the support of various test functions. For the purpose of analyzing the governing equation, numerous solutions are secured, including breathers and two-wave solutions. Breather waves refer to solitary waves that exhibit both partial localization and periodic structure in either space or time. Breathers serve crucial functions in nonlinear physics and have been observed in various physical domains, including optics, hydrodynamics, and quantized superfluidity. To visually represent the results, a range of graphs with unique shapes are generated in accordance with the specified parameter values. The computational intricacies and outcomes underscore the technique’s efficacy, simplicity and transparency, demonstrating its suitability for numerous types of static and dynamic nonlinear equations pertaining to evolutionary phenomena in computational physics, in addition to other research and practical domains. The physical properties of solutions and the collision-related components of various nonlinear physical processes are illustrated with these results.
{"title":"On the study of interaction phenomena to the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation","authors":"Usman Younas, T. A. Sulaiman, Hajar F. Ismael, Muhammad Amin S. Murad","doi":"10.1142/s0217984924504372","DOIUrl":"https://doi.org/10.1142/s0217984924504372","url":null,"abstract":"The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation which consists of the KdV equation and the SK equation is the subject of investigation in this study. The studied equation has rich physical meaning in nonlinear waves. The KdV- type equations hold great importance as a prototypical representation of an infinite-dimensional system that is completely integrable and exactly solvable in the context of nonlinearity. The KdV equation is utilized to describe shallow water waves in a density-stratified ocean, which exhibit weak and nonlinear interactions with long internal waves. The Hirota bilinear method has been used with the support of various test functions. For the purpose of analyzing the governing equation, numerous solutions are secured, including breathers and two-wave solutions. Breather waves refer to solitary waves that exhibit both partial localization and periodic structure in either space or time. Breathers serve crucial functions in nonlinear physics and have been observed in various physical domains, including optics, hydrodynamics, and quantized superfluidity. To visually represent the results, a range of graphs with unique shapes are generated in accordance with the specified parameter values. The computational intricacies and outcomes underscore the technique’s efficacy, simplicity and transparency, demonstrating its suitability for numerous types of static and dynamic nonlinear equations pertaining to evolutionary phenomena in computational physics, in addition to other research and practical domains. The physical properties of solutions and the collision-related components of various nonlinear physical processes are illustrated with these results.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141354304","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}
Pub Date : 2024-06-12DOI: 10.1142/s0217984924420107
Pufan Zhu, Mi Zhu, Zhiyuan Zheng, Luhang Jiang, J. Fu, Miao Yu
Due to the distinctive working environment of high precision machining and manufacturing field, it poses challenges in meeting the isolation requirements, including limited installation space, multi-dimensional vibration, and a wide range of vibration frequencies. To tackle these obstacles, this paper introduces a magnetorheological (MR) isolator that offers adjustable vertical damping characteristics while guaranteeing three-axis vibration isolation through an inclined cone structure. First, the structure of the isolator was designed by combining a flow valve damper with a conical rubber structure. Second, in pursuit of lightweight design and enhanced magnetic field strength, collaborative simulations using ANSYS and Maxwell are conducted to subject the critical components of the isolator to multi-objective optimization. The optimization results demonstrate that the mass of the isolator has been reduced by approximately 27.7%, while the magnetic field intensity has increased by around 20%. Finally, the performance of the MR isolator was verified through static testing and dynamic testing, respectively. The experimental results demonstrate that the isolator can generate a maximum damping force of approximately 778[Formula: see text]N when exposed to a current of 1.5[Formula: see text]A. Compared to the initial value of 445.06[Formula: see text]N at 0[Formula: see text]A, there has been an approximate increase of 1.74 times.
{"title":"Structural design and multi-objective optimization of an MR isolator based on flow valve-cone rubber structure","authors":"Pufan Zhu, Mi Zhu, Zhiyuan Zheng, Luhang Jiang, J. Fu, Miao Yu","doi":"10.1142/s0217984924420107","DOIUrl":"https://doi.org/10.1142/s0217984924420107","url":null,"abstract":"Due to the distinctive working environment of high precision machining and manufacturing field, it poses challenges in meeting the isolation requirements, including limited installation space, multi-dimensional vibration, and a wide range of vibration frequencies. To tackle these obstacles, this paper introduces a magnetorheological (MR) isolator that offers adjustable vertical damping characteristics while guaranteeing three-axis vibration isolation through an inclined cone structure. First, the structure of the isolator was designed by combining a flow valve damper with a conical rubber structure. Second, in pursuit of lightweight design and enhanced magnetic field strength, collaborative simulations using ANSYS and Maxwell are conducted to subject the critical components of the isolator to multi-objective optimization. The optimization results demonstrate that the mass of the isolator has been reduced by approximately 27.7%, while the magnetic field intensity has increased by around 20%. Finally, the performance of the MR isolator was verified through static testing and dynamic testing, respectively. The experimental results demonstrate that the isolator can generate a maximum damping force of approximately 778[Formula: see text]N when exposed to a current of 1.5[Formula: see text]A. Compared to the initial value of 445.06[Formula: see text]N at 0[Formula: see text]A, there has been an approximate increase of 1.74 times.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141350281","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}
Pub Date : 2024-06-12DOI: 10.1142/s0217984924504487
A. Cevikel
The Fordy–Gibbons equation is a nonlinear differential equation. Physically, the motion of a damped oscillator with a more complex potential than in basic harmonic motion is described by the Fordy–Gibbons equation. For the equation under consideration, numerous novel families of precise analytical solutions are being successfully found. The soliton solutions are represented as rational and exponential functions. To further illustrate the potential and physical behavior of the equation, the findings are also stated visually. Three approaches are suggested in this paper for solving the Fordy–Gibbons equation. These solutions are new solutions.
{"title":"Traveling wave solutions of Fordy–Gibbons equation","authors":"A. Cevikel","doi":"10.1142/s0217984924504487","DOIUrl":"https://doi.org/10.1142/s0217984924504487","url":null,"abstract":"The Fordy–Gibbons equation is a nonlinear differential equation. Physically, the motion of a damped oscillator with a more complex potential than in basic harmonic motion is described by the Fordy–Gibbons equation. For the equation under consideration, numerous novel families of precise analytical solutions are being successfully found. The soliton solutions are represented as rational and exponential functions. To further illustrate the potential and physical behavior of the equation, the findings are also stated visually. Three approaches are suggested in this paper for solving the Fordy–Gibbons equation. These solutions are new solutions.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141350318","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}
Pub Date : 2024-06-12DOI: 10.1142/s0217984924504475
Dacheng Zhang, Xiaoming Su, Yumeng Sun, Xianming Sun, Changzheng Chen
Membrane-type acoustic metamaterials have a favorable noise suppression effect. Hence, a membrane-type acoustic metamaterial plate (MAML) with an X-shaped pendulum arm and cylindrical mass blocks (CMB) was proposed in this paper. The theoretical model based on spring–mass systems and numerical simulation models of the membrane-type acoustic metamaterial cell (MAMC) were established under fixed and periodic boundary conditions to reveal the noise attenuation mechanism quantitatively, and the necessity of the CMB is discussed. Based on the results, it can be observed that the normal displacement of the membrane is nearly zero when the noise frequency is at the peak of the sound transmission loss (STL) curve. However, when the frequency is at the valley of the STL curve, the displacement is nonzero and fluctuates significantly. Meanwhile, by comparing the STL curves with and without the CMB, it was found that the MAMC performance is improved effectively by the CMB at low frequencies. The effective mass density of MAMC was found to be negative. To verify the accuracy of numerical calculations, an impedance tube experiment was conducted. Finally, orthogonal experiments were designed to describe the effects of the structural parameters a, l, and t on the effective bandwidth [Formula: see text], peak frequency [Formula: see text], and comprehensive index [Formula: see text] and to obtain the optimal structural parameter combinations for different indexes. This work further contributes to applying and developing the membrane-type acoustic metamaterial.
膜式声超材料具有良好的噪声抑制效果。因此，本文提出了一种带有 X 形摆臂和圆柱形质量块（CMB）的膜式声超材料板（MAML）。在固定和周期边界条件下，建立了基于弹簧-质量系统的理论模型和膜式声超材料单元（MAMC）的数值模拟模型，定量揭示了噪声衰减机理，并讨论了 CMB 的必要性。结果表明，当噪声频率处于声透射损失（STL）曲线的峰值时，膜的法向位移几乎为零。然而，当频率处于 STL 曲线的谷值时，位移不为零，且波动明显。同时，通过比较有无 CMB 的 STL 曲线发现，在低频时，CMB 能有效改善 MAMC 的性能。研究发现，MAMC 的有效质量密度为负值。为了验证数值计算的准确性，进行了阻抗管实验。最后，设计了正交实验来描述结构参数 a、l 和 t 对有效带宽[计算公式：见正文]、峰值频率[计算公式：见正文]和综合指数[计算公式：见正文]的影响，并获得不同指数的最佳结构参数组合。这项工作进一步促进了膜型声超材料的应用和发展。
{"title":"Numerical analysis and experimental study of membrane-type acoustic metamaterial plate with X-shaped pendulum arm and cylindrical mass blocks","authors":"Dacheng Zhang, Xiaoming Su, Yumeng Sun, Xianming Sun, Changzheng Chen","doi":"10.1142/s0217984924504475","DOIUrl":"https://doi.org/10.1142/s0217984924504475","url":null,"abstract":"Membrane-type acoustic metamaterials have a favorable noise suppression effect. Hence, a membrane-type acoustic metamaterial plate (MAML) with an X-shaped pendulum arm and cylindrical mass blocks (CMB) was proposed in this paper. The theoretical model based on spring–mass systems and numerical simulation models of the membrane-type acoustic metamaterial cell (MAMC) were established under fixed and periodic boundary conditions to reveal the noise attenuation mechanism quantitatively, and the necessity of the CMB is discussed. Based on the results, it can be observed that the normal displacement of the membrane is nearly zero when the noise frequency is at the peak of the sound transmission loss (STL) curve. However, when the frequency is at the valley of the STL curve, the displacement is nonzero and fluctuates significantly. Meanwhile, by comparing the STL curves with and without the CMB, it was found that the MAMC performance is improved effectively by the CMB at low frequencies. The effective mass density of MAMC was found to be negative. To verify the accuracy of numerical calculations, an impedance tube experiment was conducted. Finally, orthogonal experiments were designed to describe the effects of the structural parameters a, l, and t on the effective bandwidth [Formula: see text], peak frequency [Formula: see text], and comprehensive index [Formula: see text] and to obtain the optimal structural parameter combinations for different indexes. This work further contributes to applying and developing the membrane-type acoustic metamaterial.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141353216","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}
Pub Date : 2024-06-12DOI: 10.1142/s0217984924504499
M. Gayathri, B. H. Babu, M. Krishna
In this paper, the computational examination is carried out on the heat generation, Soret and Dufour’s influence on the unsteady MHD convection flow of an incompressible viscous fluid with chemical reaction. It is due to the exponentially accelerated vertical porous plate embedded in a permeable medium with ramped wall temperature together with surface concentration and also with thermal radiation impacts. The basic governing set of the equations of the fluid dynamics to the flow is converted into nondimensional form by inserting suitable nondimensional parameters and variables. In addition, the resultant equations are solved computationally with the efficient Crank–Nicolsons implicit finite difference methodology. The influences for several imperative substantial parameters for the model on the velocity, temperature and concentration for the fluids, the skin friction coefficient, Nusselt and Sherwood number for together thermal situations have been explored with the help of graphical profiles and tabular forms. It is found that, the increasing quantities of the Dufour, temperature generation and thermal radiation parameters, the fluid temperature as well as velocity enhances. Similarly, it is noted that an escalating Soret parameter causes the fluid’s velocity and concentration whereas the chemical reaction parameter notifies reversal outputs.
{"title":"Soret and Dofour effects on unsteady MHD convection flow over an infinite vertical porous plate","authors":"M. Gayathri, B. H. Babu, M. Krishna","doi":"10.1142/s0217984924504499","DOIUrl":"https://doi.org/10.1142/s0217984924504499","url":null,"abstract":"In this paper, the computational examination is carried out on the heat generation, Soret and Dufour’s influence on the unsteady MHD convection flow of an incompressible viscous fluid with chemical reaction. It is due to the exponentially accelerated vertical porous plate embedded in a permeable medium with ramped wall temperature together with surface concentration and also with thermal radiation impacts. The basic governing set of the equations of the fluid dynamics to the flow is converted into nondimensional form by inserting suitable nondimensional parameters and variables. In addition, the resultant equations are solved computationally with the efficient Crank–Nicolsons implicit finite difference methodology. The influences for several imperative substantial parameters for the model on the velocity, temperature and concentration for the fluids, the skin friction coefficient, Nusselt and Sherwood number for together thermal situations have been explored with the help of graphical profiles and tabular forms. It is found that, the increasing quantities of the Dufour, temperature generation and thermal radiation parameters, the fluid temperature as well as velocity enhances. Similarly, it is noted that an escalating Soret parameter causes the fluid’s velocity and concentration whereas the chemical reaction parameter notifies reversal outputs.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141350910","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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