Pub Date : 2024-05-14DOI: 10.1142/s0217984924503834
Zafar Mahmood, Mujeeb ur Rehman, Umar Khan, Bilal Ali, Md Irfanul Haque Siddiqui
Researchers are interested in the non-Newtonian fluid flow with mixed convection because of its extensive use in industry and manufacturing. Additionally, thermal radiation in convective heat transfer is critical for thermal transmission regulation. As a result, the authors provide an in-depth study of how mixed convective effects on concentration and temperature impact mass, heat, and non-Newtonian Casson fluid flow. A transverse magnetic field and vertical permeable stretched sheet affect the fluid. Nonlinear thermal radiation, Brownian motion, thermophoresis, velocity slip, and temperature slip are all examined. The governing nonlinear partial differential equations (PDEs) can be changed into especially nonlinear coupled ordinary differential equations (ODEs) with the right similarity transformation. We use the RK-45 technique in Mathematica to solve the system to accommodate different physical attributes. The data are analyzed graphically. This study shows that increasing the free convection parameters [Formula: see text] and [Formula: see text] improves the velocity profile. However, the Casson parameter, magnetic field, velocity slip, and mass suction parameter lower it. Increasing [Formula: see text], and [Formula: see text] parameters lead to a higher temperature profile, whereas [Formula: see text], and [Formula: see text] parameters have the opposite. Increased concentration is shown with [Formula: see text] and [Formula: see text] parameters, whereas [Formula: see text] and [Formula: see text] have the opposite impact. Skin friction increases against [Formula: see text] and [Formula: see text] and reduces for S and M Heat transfer increases for [Formula: see text] and S whereas reduces for [Formula: see text] and [Formula: see text] Mass transfer increases for [Formula: see text] and [Formula: see text] and reduces for [Formula: see text] and [Formula: see text].
由于混合对流在工业和制造业中的广泛应用，研究人员对混合对流的非牛顿流体流很感兴趣。此外，对流传热中的热辐射对于热传导调节至关重要。因此，作者深入研究了混合对流对浓度和温度的影响如何影响质量、热量和非牛顿卡逊流体流动。横向磁场和垂直渗透拉伸片对流体产生影响。非线性热辐射、布朗运动、热泳、速度滑移和温度滑移都在研究之列。通过正确的相似性变换，可以将支配性非线性偏微分方程（PDE）转换为特别是非线性耦合常微分方程（ODE）。我们使用 Mathematica 中的 RK-45 技术来求解该系统，以适应不同的物理属性。数据以图表形式进行分析。研究表明，增加自由对流参数[公式：见正文]和[公式：见正文]可以改善速度曲线。然而，卡松参数、磁场、速度滑移和质量吸力参数会降低速度曲线。增加[公式：见正文]和[公式：见正文]参数会导致温度曲线升高，而[公式：见正文]和[公式：见正文]参数则相反。公式：见正文]和[公式：见正文]参数显示浓度增加，而[公式：见正文]和[公式：见正文]的影响则相反。皮肤摩擦对[式：见正文]和[式：见正文]增加，而对 S 和 M 减少 传热对[式：见正文]和 S 增加，而对[式：见正文]和[式：见正文]减少 传质对[式：见正文]和[式：见正文]增加，而对[式：见正文]和[式：见正文]减少。
{"title":"Enhanced transport phenomena in Casson fluid flow over radiative moving surface: Influence of velocity and thermal slip conditions with mixed convection and chemical reaction","authors":"Zafar Mahmood, Mujeeb ur Rehman, Umar Khan, Bilal Ali, Md Irfanul Haque Siddiqui","doi":"10.1142/s0217984924503834","DOIUrl":"https://doi.org/10.1142/s0217984924503834","url":null,"abstract":"Researchers are interested in the non-Newtonian fluid flow with mixed convection because of its extensive use in industry and manufacturing. Additionally, thermal radiation in convective heat transfer is critical for thermal transmission regulation. As a result, the authors provide an in-depth study of how mixed convective effects on concentration and temperature impact mass, heat, and non-Newtonian Casson fluid flow. A transverse magnetic field and vertical permeable stretched sheet affect the fluid. Nonlinear thermal radiation, Brownian motion, thermophoresis, velocity slip, and temperature slip are all examined. The governing nonlinear partial differential equations (PDEs) can be changed into especially nonlinear coupled ordinary differential equations (ODEs) with the right similarity transformation. We use the RK-45 technique in Mathematica to solve the system to accommodate different physical attributes. The data are analyzed graphically. This study shows that increasing the free convection parameters [Formula: see text] and [Formula: see text] improves the velocity profile. However, the Casson parameter, magnetic field, velocity slip, and mass suction parameter lower it. Increasing [Formula: see text], and [Formula: see text] parameters lead to a higher temperature profile, whereas [Formula: see text], and [Formula: see text] parameters have the opposite. Increased concentration is shown with [Formula: see text] and [Formula: see text] parameters, whereas [Formula: see text] and [Formula: see text] have the opposite impact. Skin friction increases against [Formula: see text] and [Formula: see text] and reduces for S and M Heat transfer increases for [Formula: see text] and S whereas reduces for [Formula: see text] and [Formula: see text] Mass transfer increases for [Formula: see text] and [Formula: see text] and reduces for [Formula: see text] and [Formula: see text].","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":"10 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140979191","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 : 2024-05-10DOI: 10.1142/s0217984924410124
Ji-Hun Seok, Yun-Hae Kim, Sung-Youl Bae
The objective of this study is to enhance the efficiency of urban air mobility (UAM) air transportation by determining the optimal design, materials, and processes of seven different manufactured fiber-reinforced plastics (FRP), and to confirm their applicability for next-generation UAM aircraft seats. Structural designs for the aircraft seat models were carried out using carbon fiber-reinforced plastic (CFRP), glass fiber-reinforced plastic (GFRP), and GFRP chop materials, employing Autoclave, Hot-press, and vacuum-assisted resin transfer molding (VaRTM) processes, resulting in a total of seven FRP configurations. It was confirmed that CFRP seats were 50% lower weight than aluminum models, while GFRP seats showed a 30% reduction. Although Autoclave processing resulted in the highest tensile strength at 985[Formula: see text]MPa, VaRTM processing also produced strength levels comparable to Autoclave processing. Structural integrity assessments of the seat models, utilizing the Korean aviation standards (KAS), confirmed that the designed seat models exhibited no failure or deformation under the conditions required by the technical standards. This study provides insights into the potential application of the seven types of FRP materials in the design of aircraft seats, offering weight reduction benefits and meeting the structural integrity requirements outlined by KAS.
{"title":"A study on the optimal design of UAM seats","authors":"Ji-Hun Seok, Yun-Hae Kim, Sung-Youl Bae","doi":"10.1142/s0217984924410124","DOIUrl":"https://doi.org/10.1142/s0217984924410124","url":null,"abstract":"The objective of this study is to enhance the efficiency of urban air mobility (UAM) air transportation by determining the optimal design, materials, and processes of seven different manufactured fiber-reinforced plastics (FRP), and to confirm their applicability for next-generation UAM aircraft seats. Structural designs for the aircraft seat models were carried out using carbon fiber-reinforced plastic (CFRP), glass fiber-reinforced plastic (GFRP), and GFRP chop materials, employing Autoclave, Hot-press, and vacuum-assisted resin transfer molding (VaRTM) processes, resulting in a total of seven FRP configurations. It was confirmed that CFRP seats were 50% lower weight than aluminum models, while GFRP seats showed a 30% reduction. Although Autoclave processing resulted in the highest tensile strength at 985[Formula: see text]MPa, VaRTM processing also produced strength levels comparable to Autoclave processing. Structural integrity assessments of the seat models, utilizing the Korean aviation standards (KAS), confirmed that the designed seat models exhibited no failure or deformation under the conditions required by the technical standards. This study provides insights into the potential application of the seven types of FRP materials in the design of aircraft seats, offering weight reduction benefits and meeting the structural integrity requirements outlined by KAS.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140992026","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 : 2024-05-10DOI: 10.1142/s0217984924504025
M. Arshad, A. Seadawy, Aliza Mehmood, Khurrem Shehzad
The shallow water equations are used to describe the behavior of water waves in various shallow regions such as coastal areas, lakes, rivers, etc. These equations are derived by making simplifying assumptions about the water depth relative to the wavelength of the waves. In this paper, the generalized exponential rational function method (gERFM) is used to construct novel wave solutions of the (3+1)-dimensional shallow water wave ((3+1)-dSWW) dynamical model. These solutions encompass distinct kinds of waves, such as solitary waves, solitons, Kink and anti-kink solitons, lump Kink interactional waves, traveling breathers-type waves and multi-peak solitons. The dynamical behavior of these wave solutions is discussed, examining the influence of free parameters on the resulting wave shapes. Furthermore, to provide a scientific elucidation of the obtained results, the solutions are presented graphically, making it easy to distinguish the dynamical features, which have practical implications in different areas of applied sciences and engineering. The stability of this dynamical model is revealed via modulational instability analysis, signifying that all analytical results are stable. The obtained results show that the given technique is universal and efficient. Through comparing the projected technique with the existing techniques, the obtained results demonstrate that the given technique is universal, pithy and efficient.
{"title":"Lump Kink interactional and breather-type waves solutions of (3+1)-dimensional shallow water wave dynamical model and its stability with applications","authors":"M. Arshad, A. Seadawy, Aliza Mehmood, Khurrem Shehzad","doi":"10.1142/s0217984924504025","DOIUrl":"https://doi.org/10.1142/s0217984924504025","url":null,"abstract":"The shallow water equations are used to describe the behavior of water waves in various shallow regions such as coastal areas, lakes, rivers, etc. These equations are derived by making simplifying assumptions about the water depth relative to the wavelength of the waves. In this paper, the generalized exponential rational function method (gERFM) is used to construct novel wave solutions of the (3+1)-dimensional shallow water wave ((3+1)-dSWW) dynamical model. These solutions encompass distinct kinds of waves, such as solitary waves, solitons, Kink and anti-kink solitons, lump Kink interactional waves, traveling breathers-type waves and multi-peak solitons. The dynamical behavior of these wave solutions is discussed, examining the influence of free parameters on the resulting wave shapes. Furthermore, to provide a scientific elucidation of the obtained results, the solutions are presented graphically, making it easy to distinguish the dynamical features, which have practical implications in different areas of applied sciences and engineering. The stability of this dynamical model is revealed via modulational instability analysis, signifying that all analytical results are stable. The obtained results show that the given technique is universal and efficient. Through comparing the projected technique with the existing techniques, the obtained results demonstrate that the given technique is universal, pithy and efficient.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 68","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140991413","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 : 2024-05-10DOI: 10.1142/s0217984924503974
Mostafa M. A. Khater
Recent years have seen a growing interest in fractional differential equations, particularly the fractional Chaffee-Infante ([Formula: see text]) equation, pivotal for understanding dynamics governed by fractional orders in specific physical systems. Exploring solitary wave solutions, this study employs the extended Khater method and truncated Mittag-Leffler function properties to formulate tailored solutions for the ([Formula: see text]) model. Through a traveling wave ansatz, the equation transforms into a nonlinear ordinary differential equation, revealing intricate propagation patterns of solitary waves. Visual representations aid comprehension, while rigorous validation ensures solution precision, ultimately providing a comprehensive understanding of system responses to external stimuli. This study effectively integrates analytical and numerical methodologies to derive precise solitary wave solutions, with significant implications for advancing comprehension of complex phenomena in various disciplines governed by fractional-order dynamics.
{"title":"Dynamics of propagation patterns: An analytical investigation into fractional systems","authors":"Mostafa M. A. Khater","doi":"10.1142/s0217984924503974","DOIUrl":"https://doi.org/10.1142/s0217984924503974","url":null,"abstract":"Recent years have seen a growing interest in fractional differential equations, particularly the fractional Chaffee-Infante ([Formula: see text]) equation, pivotal for understanding dynamics governed by fractional orders in specific physical systems. Exploring solitary wave solutions, this study employs the extended Khater method and truncated Mittag-Leffler function properties to formulate tailored solutions for the ([Formula: see text]) model. Through a traveling wave ansatz, the equation transforms into a nonlinear ordinary differential equation, revealing intricate propagation patterns of solitary waves. Visual representations aid comprehension, while rigorous validation ensures solution precision, ultimately providing a comprehensive understanding of system responses to external stimuli. This study effectively integrates analytical and numerical methodologies to derive precise solitary wave solutions, with significant implications for advancing comprehension of complex phenomena in various disciplines governed by fractional-order dynamics.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 39","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140994123","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 : 2024-05-10DOI: 10.1142/s0217984924504037
S. Behera
In this work, first it is shown that the Hirota–Ramani equation, which governs the nonlinear propagation of coupled Langmuir and dust-acoustec wave in a multicomponent dusty plasma, possesses kinds of wave profile such as singular periodic profile, periodic profile, singular soliton profile, M-shape rational profile, bright soliton profile, kink profile in the form of the trigonometric, hyperbolic, and rational solutions. With the aid of symbolic computation, we select the Hirota–Ramani equation with a source to investigate the validity and advantage of the improved [Formula: see text]-expansion method and construct some frames of the 3D profiles and the contour profiles to the equation along with the 2D profiles of some solutions to understand the traveling wave dynamics. Following the selection of appropriate values for the associated parameters, more generalized solutions are provided, along with certain patterns in the solutions that are examined. This improved method is effective, concise, reliable, and can be applied for further futuristic applications.
{"title":"Optical solitons for the Hirota–Ramani equation via improved G′G-expansion method","authors":"S. Behera","doi":"10.1142/s0217984924504037","DOIUrl":"https://doi.org/10.1142/s0217984924504037","url":null,"abstract":"In this work, first it is shown that the Hirota–Ramani equation, which governs the nonlinear propagation of coupled Langmuir and dust-acoustec wave in a multicomponent dusty plasma, possesses kinds of wave profile such as singular periodic profile, periodic profile, singular soliton profile, M-shape rational profile, bright soliton profile, kink profile in the form of the trigonometric, hyperbolic, and rational solutions. With the aid of symbolic computation, we select the Hirota–Ramani equation with a source to investigate the validity and advantage of the improved [Formula: see text]-expansion method and construct some frames of the 3D profiles and the contour profiles to the equation along with the 2D profiles of some solutions to understand the traveling wave dynamics. Following the selection of appropriate values for the associated parameters, more generalized solutions are provided, along with certain patterns in the solutions that are examined. This improved method is effective, concise, reliable, and can be applied for further futuristic applications.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 85","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140993370","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 : 2024-05-10DOI: 10.1142/s0217984924503767
M. Z. Baber, Nauman Ahmed, Changjin Xu, M. Iqbal, T. Sulaiman
In this study, the stochastic Chen–Lee–Liu equation is considered numerically and analytically which is forced by the multiplicative noise in the Itô sense. The Chen–Lee–Liu equation is a special type of Schrödinger’s equation which has applications in optical fibers and photonic crystal fibers. The stochastic Crank–Nicolson scheme is formed to obtain the computational results. The numerical scheme is analyzed under the mean square sense and Von-Neumann criteria to show consistence and stability, respectively. Meanwhile, stochastic optical soliton solutions are attained by using two techniques, namely, the modified auxiliary equation method and the generalized projective Riccati equation method. These methods provide us with the different types of optical soliton solutions such as hyperbolic, trigonometric, mixed trigonometric, and rational forms. Mainly, the comparison of computational results with newly constructed optical soliton solution is shown graphically. To compare these results, initial conditions and boundary conditions are constructed by selecting some soliton solutions. The 3D and line graphs are drawn by choosing different values of parameters. Additionally, the sensitivity analysis is observed for the different initial values.
{"title":"A computational scheme and its comparison with optical soliton solutions for the stochastic Chen–Lee–Liu equation with sensitivity analysis","authors":"M. Z. Baber, Nauman Ahmed, Changjin Xu, M. Iqbal, T. Sulaiman","doi":"10.1142/s0217984924503767","DOIUrl":"https://doi.org/10.1142/s0217984924503767","url":null,"abstract":"In this study, the stochastic Chen–Lee–Liu equation is considered numerically and analytically which is forced by the multiplicative noise in the Itô sense. The Chen–Lee–Liu equation is a special type of Schrödinger’s equation which has applications in optical fibers and photonic crystal fibers. The stochastic Crank–Nicolson scheme is formed to obtain the computational results. The numerical scheme is analyzed under the mean square sense and Von-Neumann criteria to show consistence and stability, respectively. Meanwhile, stochastic optical soliton solutions are attained by using two techniques, namely, the modified auxiliary equation method and the generalized projective Riccati equation method. These methods provide us with the different types of optical soliton solutions such as hyperbolic, trigonometric, mixed trigonometric, and rational forms. Mainly, the comparison of computational results with newly constructed optical soliton solution is shown graphically. To compare these results, initial conditions and boundary conditions are constructed by selecting some soliton solutions. The 3D and line graphs are drawn by choosing different values of parameters. Additionally, the sensitivity analysis is observed for the different initial values.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140991167","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 : 2024-05-10DOI: 10.1142/s0217984924503780
U. Younas, J. Muhammad, Hajar F. Ismael, Muhammad Amin S. Murad, T. A. Sulaiman
This paper explores a specific class of equations that model the propagation of optical pulses in dual-core optical fibers. The decoupled nonlinear Schrödinger equation with properties of M fractional derivatives is considered as the governing equation. The proposed model consists of group-velocity mismatch and dispersion, nonlinear refractive index and linear coupling coefficient. Different types of solutions, including mixed, dark, singular, bright-dark, bright, complex and combined solitons are extracted by using the integration methods known as fractional modified Sardar subequation method and modified F-expansion method. Optical soliton propagation in optical fibers is currently a subject of great interest due to the multiple prospects for ultrafast signal routing systems and short light pulses in communications. In nonlinear dispersive media, optical solitons are stretched electromagnetic waves that maintain their intensity due to a balance between the effects of dispersion and nonlinearity. Furthermore, hyperbolic, periodic and exponential solutions are generated. A fractional complex transformation is applied to reduce the governing model into the ordinary differential equation and then by the assistance of balance principle the methods are used, depending upon the balance number. Also, we plot the different graphs with the associated parameter values to visualize the solutions behaviours with different parameter values. The findings of this work will help to identify and clarify some novel soliton solutions and it is expected that the solutions obtained will play a vital role in the fields of physics and engineering.
本文探讨了模拟光脉冲在双芯光纤中传播的一类特定方程。具有 M 分数导数特性的解耦非线性薛定谔方程被视为支配方程。提出的模型包括群速度失配和色散、非线性折射率和线性耦合系数。通过使用分数修正萨达尔子方程法和修正 F 展开法等积分方法，提取了不同类型的解，包括混合孤子、暗孤子、奇异孤子、亮暗孤子、亮孤子、复孤子和组合孤子。由于超快信号路由系统和短光脉冲在通信中的多种应用前景，光纤中的光孤子传播目前是一个备受关注的课题。在非线性色散介质中，光孤子是一种拉伸的电磁波，由于色散和非线性效应之间的平衡而保持其强度。此外，还会产生双曲、周期和指数解。我们应用分数复变将调控模型还原为常微分方程，然后根据平衡数，在平衡原理的帮助下使用各种方法。此外，我们还绘制了带有相关参数值的不同图形，以直观显示不同参数值下的求解行为。这项工作的发现将有助于识别和阐明一些新颖的孤子解，预计所获得的解将在物理学和工程学领域发挥重要作用。
{"title":"Optical fractional solitonic structures to decoupled nonlinear Schrödinger equation arising in dual-core optical fibers","authors":"U. Younas, J. Muhammad, Hajar F. Ismael, Muhammad Amin S. Murad, T. A. Sulaiman","doi":"10.1142/s0217984924503780","DOIUrl":"https://doi.org/10.1142/s0217984924503780","url":null,"abstract":"This paper explores a specific class of equations that model the propagation of optical pulses in dual-core optical fibers. The decoupled nonlinear Schrödinger equation with properties of M fractional derivatives is considered as the governing equation. The proposed model consists of group-velocity mismatch and dispersion, nonlinear refractive index and linear coupling coefficient. Different types of solutions, including mixed, dark, singular, bright-dark, bright, complex and combined solitons are extracted by using the integration methods known as fractional modified Sardar subequation method and modified F-expansion method. Optical soliton propagation in optical fibers is currently a subject of great interest due to the multiple prospects for ultrafast signal routing systems and short light pulses in communications. In nonlinear dispersive media, optical solitons are stretched electromagnetic waves that maintain their intensity due to a balance between the effects of dispersion and nonlinearity. Furthermore, hyperbolic, periodic and exponential solutions are generated. A fractional complex transformation is applied to reduce the governing model into the ordinary differential equation and then by the assistance of balance principle the methods are used, depending upon the balance number. Also, we plot the different graphs with the associated parameter values to visualize the solutions behaviours with different parameter values. The findings of this work will help to identify and clarify some novel soliton solutions and it is expected that the solutions obtained will play a vital role in the fields of physics and engineering.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140993964","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}
The hybrid nanofluid (HNF) flow consists of polymer/CNT matrix nanocomposite material (MNC) across coaxial cylinders is numerically described in this study. The HNF flow is inspected under the consequences of thermal radiation, exponential heat source/sink and viscous dissipation. The HNF is prepared by adding polymer/CNT MNC in water. MNCs are highly productive elements with unique designs and properties. The MNCs are widely used in biomedicine and electrical applications due to their exceptional thermophysical properties. Based on their exceptionally high electrical conductivity, CNT/polymer nanoparticles (NPs) are also utilized as shielding for electrostatic discharge and electromagnetic interference (EMI). The HNF flow is modeled with the help of energy, continuity, and momentum equations. MATLAB package bvp4c is used to numerically handle the modeled equations. It has been perceived that the intensifying numbers of polymer/CNT MNC will lessen the fluid velocity and temperature profile in cases of both nanofluid and HNF.
{"title":"Numerical simulation of hybrid nanofluid flow consisting of polymer–CNT matrix nanocomposites subject to Lorentz force and heat source/sink across coaxial cylinders","authors":"Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui","doi":"10.1142/s021798492450386x","DOIUrl":"https://doi.org/10.1142/s021798492450386x","url":null,"abstract":"The hybrid nanofluid (HNF) flow consists of polymer/CNT matrix nanocomposite material (MNC) across coaxial cylinders is numerically described in this study. The HNF flow is inspected under the consequences of thermal radiation, exponential heat source/sink and viscous dissipation. The HNF is prepared by adding polymer/CNT MNC in water. MNCs are highly productive elements with unique designs and properties. The MNCs are widely used in biomedicine and electrical applications due to their exceptional thermophysical properties. Based on their exceptionally high electrical conductivity, CNT/polymer nanoparticles (NPs) are also utilized as shielding for electrostatic discharge and electromagnetic interference (EMI). The HNF flow is modeled with the help of energy, continuity, and momentum equations. MATLAB package bvp4c is used to numerically handle the modeled equations. It has been perceived that the intensifying numbers of polymer/CNT MNC will lessen the fluid velocity and temperature profile in cases of both nanofluid and HNF.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 44","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140993593","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 : 2024-05-10DOI: 10.1142/s0217984924503858
K. Gangadhar, G. Naga Chandrika, Saeed Dinarvand
The Riga plate is the inventive magnetic mechanism created from assembly of arranged constant magnets and alternate electrode through the plane surface. The inventive magnetic mechanism produces the wall-parallel Lorentz force into postponing the boundary layer division and reducing turbulence effect. In this analysis, the flow performance on silver-engine oil-based nanoparticles by Casson–Jeffrey, Casson–Oldroyd-B and Casson–Maxwell binary nanofluids through the Riga plate was analyzed. By analyzing the correlation transformation, the controlling model was changed into a system of ordinary differential equations, it has been resolved by applying finite element methods. The investigation of the acquired outcomes had been verified by the flow by second-grade fluids which affected importantly the governing parameters. The both EMHD parameter and nanoparticles had acted on the thermal improvement of these non-Newtonian employing fluids. The velocity profiles were magnified when the Lorentz force was instigated over the EMHD parameter. Overall, this Casson–Jeffrey and Casson–Maxwell nanofluid model is more effective than the Casson–Oldroyd-B nanofluids model.
{"title":"Investigation into silver-engine oil nanoliquid convinced by Riga surface: Deviations in three binary nanofluids","authors":"K. Gangadhar, G. Naga Chandrika, Saeed Dinarvand","doi":"10.1142/s0217984924503858","DOIUrl":"https://doi.org/10.1142/s0217984924503858","url":null,"abstract":"The Riga plate is the inventive magnetic mechanism created from assembly of arranged constant magnets and alternate electrode through the plane surface. The inventive magnetic mechanism produces the wall-parallel Lorentz force into postponing the boundary layer division and reducing turbulence effect. In this analysis, the flow performance on silver-engine oil-based nanoparticles by Casson–Jeffrey, Casson–Oldroyd-B and Casson–Maxwell binary nanofluids through the Riga plate was analyzed. By analyzing the correlation transformation, the controlling model was changed into a system of ordinary differential equations, it has been resolved by applying finite element methods. The investigation of the acquired outcomes had been verified by the flow by second-grade fluids which affected importantly the governing parameters. The both EMHD parameter and nanoparticles had acted on the thermal improvement of these non-Newtonian employing fluids. The velocity profiles were magnified when the Lorentz force was instigated over the EMHD parameter. Overall, this Casson–Jeffrey and Casson–Maxwell nanofluid model is more effective than the Casson–Oldroyd-B nanofluids model.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140990735","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 : 2024-05-10DOI: 10.1142/s0217984924503986
A. A. Khan, Saliha Zafar, Aziz Khan, Th. Abdeljawad
Purpose: This paper demonstrates the way tangent hyperbolic nanofluid flow through a vertical cone is influenced by varying viscosity and varying thermal conductivity. This study also seeks to illustrate the impact of convective boundary conditions on a fluid. The mathematical modeling also takes the Darcy–Forchheimer effect into account. Methodology: Using the appropriate similarity transformation, the fluid problem is reduced into a set of nonlinear ordinary differential equations. These systems of differential equations are evaluated numerically by applying the Optimal Homotopy Asymptotic Method. Findings: The nature of emergent parameters is examined in relation to the temperature distribution, nanoparticle concentration profile, and velocity profile. An increase in variable viscosity corresponds to a decrease in fluid velocity, while enhanced thermal conductivity results in elevated fluid temperature. The skin friction coefficient, Sherwood, and Nusselt numbers are numerically examined for active concerned parameters. These findings can be put into practice in a variety of fields such as polymer cooling systems and medication. Originality: Existing literature has yet to explore the combination of tangent hyperbolic nanofluids with varying viscosity and thermal conductivity under convective boundary conditions.
{"title":"Tangent hyperbolic nanofluid flow through a vertical cone: Unraveling thermal conductivity and Darcy–Forchheimer effects","authors":"A. A. Khan, Saliha Zafar, Aziz Khan, Th. Abdeljawad","doi":"10.1142/s0217984924503986","DOIUrl":"https://doi.org/10.1142/s0217984924503986","url":null,"abstract":"Purpose: This paper demonstrates the way tangent hyperbolic nanofluid flow through a vertical cone is influenced by varying viscosity and varying thermal conductivity. This study also seeks to illustrate the impact of convective boundary conditions on a fluid. The mathematical modeling also takes the Darcy–Forchheimer effect into account. Methodology: Using the appropriate similarity transformation, the fluid problem is reduced into a set of nonlinear ordinary differential equations. These systems of differential equations are evaluated numerically by applying the Optimal Homotopy Asymptotic Method. Findings: The nature of emergent parameters is examined in relation to the temperature distribution, nanoparticle concentration profile, and velocity profile. An increase in variable viscosity corresponds to a decrease in fluid velocity, while enhanced thermal conductivity results in elevated fluid temperature. The skin friction coefficient, Sherwood, and Nusselt numbers are numerically examined for active concerned parameters. These findings can be put into practice in a variety of fields such as polymer cooling systems and medication. Originality: Existing literature has yet to explore the combination of tangent hyperbolic nanofluids with varying viscosity and thermal conductivity under convective boundary conditions.","PeriodicalId":503716,"journal":{"name":"Modern Physics Letters B","volume":" 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140992029","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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