Pub Date : 2024-07-22DOI: 10.1142/s0217984924504232
Hajar Hanafi, Hanifa Hanif, S. Shafie
An investigation of the impacts of magnetic field, heat generation/absorption and thermal radiation on unsteady free convection dusty fluid flow over a non-isothermal vertical cone enclosed inside a porous medium is explored. The Crank–Nicolson approach is used to get the numerical solutions for these nonlinear, coupled partial differential equations (PDEs). The interaction of physical parameter range on temperature and velocity distribution is calculated and graphically presented. The results demonstrate that when the porosity, heat generation/absorption, and thermal radiation parameters are increased, the velocities rise, whereas the magnetic and mass concentration of particle phase parameters have an opposite effect. Furthermore, raising the fluid-particle interaction parameter causes a rise in dust phase velocity but a reduction in fluid phase velocity.
{"title":"Unsteady MHD dusty fluid flow over a non-isothermal cone embedded in a porous medium","authors":"Hajar Hanafi, Hanifa Hanif, S. Shafie","doi":"10.1142/s0217984924504232","DOIUrl":"https://doi.org/10.1142/s0217984924504232","url":null,"abstract":"An investigation of the impacts of magnetic field, heat generation/absorption and thermal radiation on unsteady free convection dusty fluid flow over a non-isothermal vertical cone enclosed inside a porous medium is explored. The Crank–Nicolson approach is used to get the numerical solutions for these nonlinear, coupled partial differential equations (PDEs). The interaction of physical parameter range on temperature and velocity distribution is calculated and graphically presented. The results demonstrate that when the porosity, heat generation/absorption, and thermal radiation parameters are increased, the velocities rise, whereas the magnetic and mass concentration of particle phase parameters have an opposite effect. Furthermore, raising the fluid-particle interaction parameter causes a rise in dust phase velocity but a reduction in fluid phase velocity.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141816990","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 : 2024-07-22DOI: 10.1142/s0217984924504463
Ali Rehman, Mostafa Inc, F. Tawfiq, Muhammad Bilal
This study examines the effects of viscous dissipation, thermal radiation, nanofluid over a stretched surface, and viscous dissipation on a two-dimensional couple stress blood base for the enhancement of heat transfer rate. Gold and multiwall carbon nanotubes are two forms of nanoparticles that are taken into consideration, with blood serving as the base fluid. The NLPDE controls the considering problem. The NLPDE was converted to NODEs using the mentioned similarity transformation. The analytical method known as HAM was used to analyze the transform NODE analytically. Graphs are used to illustrate the effects of many parameters, such as magnetic factors, nanoparticle volume friction, velocity power index, PN, thermal radiation factors, and EN, which are derived from TE and VE. The current research work highlights how important it is to include viscous dissipation in nanofluid dynamics. The results show complex interactions among stretching, thermal properties, and micro-scale effects. The results may have an impact on the development and enhancement of biomedical devices and treatments that use nanofluidic systems, especially those that deal with blood.
本研究探讨了粘性耗散、热辐射、拉伸表面上的纳米流体以及粘性耗散对二维耦合应力血液基质的影响，以提高传热速率。金和多壁碳纳米管是考虑的两种纳米粒子形式，血液是基础流体。NLPDE 控制考虑的问题。使用上述相似性转换将 NLPDE 转换为 NODE。使用称为 HAM 的分析方法对转换后的 NODE 进行分析。用图表说明了许多参数的影响，如磁性因子、纳米粒子体积摩擦、速度功率指数、PN、热辐射因子和 EN，这些都是从 TE 和 VE 导出的。当前的研究工作凸显了将粘性耗散纳入纳米流体动力学的重要性。研究结果显示了拉伸、热特性和微尺度效应之间复杂的相互作用。这些结果可能会对使用纳米流体系统的生物医学设备和治疗方法的开发和改进产生影响，尤其是那些与血液有关的设备和治疗方法。
{"title":"Analytical analysis of 2D couple stress flow of blood base nanofluids with the influence of viscous dissipation over a stretching surface","authors":"Ali Rehman, Mostafa Inc, F. Tawfiq, Muhammad Bilal","doi":"10.1142/s0217984924504463","DOIUrl":"https://doi.org/10.1142/s0217984924504463","url":null,"abstract":"This study examines the effects of viscous dissipation, thermal radiation, nanofluid over a stretched surface, and viscous dissipation on a two-dimensional couple stress blood base for the enhancement of heat transfer rate. Gold and multiwall carbon nanotubes are two forms of nanoparticles that are taken into consideration, with blood serving as the base fluid. The NLPDE controls the considering problem. The NLPDE was converted to NODEs using the mentioned similarity transformation. The analytical method known as HAM was used to analyze the transform NODE analytically. Graphs are used to illustrate the effects of many parameters, such as magnetic factors, nanoparticle volume friction, velocity power index, PN, thermal radiation factors, and EN, which are derived from TE and VE. The current research work highlights how important it is to include viscous dissipation in nanofluid dynamics. The results show complex interactions among stretching, thermal properties, and micro-scale effects. The results may have an impact on the development and enhancement of biomedical devices and treatments that use nanofluidic systems, especially those that deal with blood.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141815858","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 : 2024-07-22DOI: 10.1142/s0217984924504797
S. Karthikeyan, F. Ali, N. Thamaraikannan, K. Loganathan
The swift advancement of heat transfer technologies can be attributed to the growing need for effective heating and cooling systems in various sectors, including the automotive, chemical, and aerospace industries. This work aims to examine the impact of radiation on the behavior of Casson hybrid nanoparticles (Al2O3-CuO) mixed convective flow in three distinct scenarios. The physical properties of copper oxide (CuO) and aluminum oxide (Al2O3) nanoparticles are utilized when mixed with CMC-water as the solvent. This paper aims to analyze the influence of mixed convective flow on the thermal integrity of hybrid nanoparticles when subjected to a wedge, cone, and plate. The analysis of chemical reactions and the existence of a permeable substance is also incorporated. The partial differential systems are appropriately transformed into a system of ordinary differential equations (ODEs). In addition, the calculation of this system of ODEs is carried out using the analytical technique known as the homotopy analysis approach (HAM). The study examines potential resolutions for flow issues in three distinct configurations: wedge, cone, and plate. A comprehensive examination and record of the impacts of various physical characteristics is carried out. The concepts of wall friction, Nusselt number, and Sherwood number, among others, are explained through the utilization of graphical representations. The porosity and Casson fluid characteristics cause a decrease in the performance of the velocity profile. Hybrid nanofluids have superior heat transfer efficiency compared to conventional nanofluids.
{"title":"Computational analysis of carboxymethyl cellulose water-based Casson hybrid nanofluid (Al2O3-CuO) flow past a wedge, cone and plate","authors":"S. Karthikeyan, F. Ali, N. Thamaraikannan, K. Loganathan","doi":"10.1142/s0217984924504797","DOIUrl":"https://doi.org/10.1142/s0217984924504797","url":null,"abstract":"The swift advancement of heat transfer technologies can be attributed to the growing need for effective heating and cooling systems in various sectors, including the automotive, chemical, and aerospace industries. This work aims to examine the impact of radiation on the behavior of Casson hybrid nanoparticles (Al2O3-CuO) mixed convective flow in three distinct scenarios. The physical properties of copper oxide (CuO) and aluminum oxide (Al2O3) nanoparticles are utilized when mixed with CMC-water as the solvent. This paper aims to analyze the influence of mixed convective flow on the thermal integrity of hybrid nanoparticles when subjected to a wedge, cone, and plate. The analysis of chemical reactions and the existence of a permeable substance is also incorporated. The partial differential systems are appropriately transformed into a system of ordinary differential equations (ODEs). In addition, the calculation of this system of ODEs is carried out using the analytical technique known as the homotopy analysis approach (HAM). The study examines potential resolutions for flow issues in three distinct configurations: wedge, cone, and plate. A comprehensive examination and record of the impacts of various physical characteristics is carried out. The concepts of wall friction, Nusselt number, and Sherwood number, among others, are explained through the utilization of graphical representations. The porosity and Casson fluid characteristics cause a decrease in the performance of the velocity profile. Hybrid nanofluids have superior heat transfer efficiency compared to conventional nanofluids.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141817566","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 : 2024-07-22DOI: 10.1142/s0217984924504803
M. Nazeer, Muhammad Usman Rafiq, Saba Islam
Background: The important physical phenomenon under the action of microgravity is called Marangoni convection. This convection occurs due to the surface tension gradient of the interface, which has various applications, such as crystal growth melt. Objective: This research aims to explore the effects of heat radiation, heat generation, viscous dissipation, and activation energy on the Marangoni flow of nanofluids. The development of the mathematical model takes into account the activation energy and uniform liquid properties. The Darcy–Forchheimer model is also used to emphasize the influence of porous media parameters. Method: The numerical algorithm of the shooting method based on Newton’s Raphson method is developed in MATLAB and used to find the numerical solution of the obtained equations. Findings: The temperature field is enhanced by thermophoresis parameters, Brownian motion parameters, Schmitt number, and magnetic number, but decreases in the range where the Marangoni ratio increases. The Nusselt and Sherwood numbers are increased and decreased via the Marangoni ratio parameter, respectively. Research gap: The numerical solution of the Marangoni flow of nanofluids in a porous medium under the effects of heat radiation, heat generation, viscous dissipation, and activation energy was not discussed before.
{"title":"Thermal improvement of the porous system through numerical solution of nanofluid under the existence of activation energy and Lorentz force","authors":"M. Nazeer, Muhammad Usman Rafiq, Saba Islam","doi":"10.1142/s0217984924504803","DOIUrl":"https://doi.org/10.1142/s0217984924504803","url":null,"abstract":"Background: The important physical phenomenon under the action of microgravity is called Marangoni convection. This convection occurs due to the surface tension gradient of the interface, which has various applications, such as crystal growth melt. Objective: This research aims to explore the effects of heat radiation, heat generation, viscous dissipation, and activation energy on the Marangoni flow of nanofluids. The development of the mathematical model takes into account the activation energy and uniform liquid properties. The Darcy–Forchheimer model is also used to emphasize the influence of porous media parameters. Method: The numerical algorithm of the shooting method based on Newton’s Raphson method is developed in MATLAB and used to find the numerical solution of the obtained equations. Findings: The temperature field is enhanced by thermophoresis parameters, Brownian motion parameters, Schmitt number, and magnetic number, but decreases in the range where the Marangoni ratio increases. The Nusselt and Sherwood numbers are increased and decreased via the Marangoni ratio parameter, respectively. Research gap: The numerical solution of the Marangoni flow of nanofluids in a porous medium under the effects of heat radiation, heat generation, viscous dissipation, and activation energy was not discussed before.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141815863","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 : 2024-07-22DOI: 10.1142/s0217984924504839
A. Tawfik, E. R. A. Elyazeed, A. A. Alshehri, H. Yassin
The incapability of thermal models to accurately reproduce the horn-like structure of the Kaon-to-pion ratio measured at AGS, SPS, and low RHIC energies, as well as confirmed in the beam energy scan program, has long been a persistent problem. This issue is believed to have arisen due to the inappropriate application of statistics, particularly the extensive additive Boltzmann–Gibbs (BG) statistics. The assumption that the analysis of particle production, a dynamic non-equilibrium process, should be primarily conducted using extensive BG or non-extensive Tsallis statistics, has proven to be an unsuccessful approach that has been followed for several decades. By employing generic (non)extensive statistics, two equivalence classes [Formula: see text] emerge, thereby undermining the validity of any ad hoc assumption. Consequently, the degree of (non)extensivity exhibited by the statistical ensemble is determined by its own characteristics. This encompasses both extensive BG statistics, characterized by [Formula: see text], and non-extensive Tsallis statistics, characterized by [Formula: see text]. The energy dependence of light-, [Formula: see text], and strange-quark occupation factor, [Formula: see text], suggests that the produced particles are most appropriately described as a non-equilibrium ensemble. This is evidenced by a remarkable non-monotonic behavior observed in the [Formula: see text] horn, for instance. On the other hand, the resulting equivalence classes [Formula: see text] are associated with a generic non-extensivity related to extended exponential and Lambert-[Formula: see text] exponentially generating distribution function, which evidently arise from free, short- and long-range correlations. The incorporation of generic non-extensive statistics into the hadron resonance gas model yields an impressive ability to rightfully reproduce the non-monotonic [Formula: see text] ratio.
{"title":"An appropriate statistical approach for non-equilibrium particle production","authors":"A. Tawfik, E. R. A. Elyazeed, A. A. Alshehri, H. Yassin","doi":"10.1142/s0217984924504839","DOIUrl":"https://doi.org/10.1142/s0217984924504839","url":null,"abstract":"The incapability of thermal models to accurately reproduce the horn-like structure of the Kaon-to-pion ratio measured at AGS, SPS, and low RHIC energies, as well as confirmed in the beam energy scan program, has long been a persistent problem. This issue is believed to have arisen due to the inappropriate application of statistics, particularly the extensive additive Boltzmann–Gibbs (BG) statistics. The assumption that the analysis of particle production, a dynamic non-equilibrium process, should be primarily conducted using extensive BG or non-extensive Tsallis statistics, has proven to be an unsuccessful approach that has been followed for several decades. By employing generic (non)extensive statistics, two equivalence classes [Formula: see text] emerge, thereby undermining the validity of any ad hoc assumption. Consequently, the degree of (non)extensivity exhibited by the statistical ensemble is determined by its own characteristics. This encompasses both extensive BG statistics, characterized by [Formula: see text], and non-extensive Tsallis statistics, characterized by [Formula: see text]. The energy dependence of light-, [Formula: see text], and strange-quark occupation factor, [Formula: see text], suggests that the produced particles are most appropriately described as a non-equilibrium ensemble. This is evidenced by a remarkable non-monotonic behavior observed in the [Formula: see text] horn, for instance. On the other hand, the resulting equivalence classes [Formula: see text] are associated with a generic non-extensivity related to extended exponential and Lambert-[Formula: see text] exponentially generating distribution function, which evidently arise from free, short- and long-range correlations. The incorporation of generic non-extensive statistics into the hadron resonance gas model yields an impressive ability to rightfully reproduce the non-monotonic [Formula: see text] ratio.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141815663","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 : 2024-07-22DOI: 10.1142/s021798492450461x
Ayten Özkan, E. M. Özkan
The space-time fractional Burger-like equation and the space-time coupled Boussinesq equation with conformable derivative, both of which are significant in fluid dynamics, are investigated in this work using the improved [Formula: see text] method. The process works effectively and produces soliton solutions. The method was successfully and consistently implemented with Maple, a symbolic computing tool. The solutions also contain a few of graphics. Numerous novel exact solutions to these equations, distinct from those found earlier with the proposed approach, have been provided. The study’s findings add to the body of knowledge by offering insightful justifications for various types of nonlinear systems. The results demonstrated the value of the proposed method as a mathematical tool and the ease, dependability, and speed increases that result from carrying out these tasks using a symbolic computing program. Notably, it applies to many nonlinear evolution problems in mathematical physics.
本文采用改进的[公式：见正文]方法研究了流体力学中重要的时空分数布尔格方程和具有保形导数的时空耦合布森斯克方程。该过程行之有效，并产生了孤子解。该方法在符号计算工具 Maple 中得到了成功和稳定的应用。解还包含一些图形。研究还提供了这些方程的许多新的精确解，这些解不同于之前用所提方法发现的解。研究结果为各种类型的非线性系统提供了具有洞察力的理由，从而丰富了知识体系。研究结果证明了所提方法作为数学工具的价值，以及使用符号计算程序执行这些任务所带来的简便性、可靠性和速度提升。值得注意的是，它适用于数学物理中的许多非线性演化问题。
{"title":"A novel study of analytical solutions of some important nonlinear fractional differential equations in fluid dynamics","authors":"Ayten Özkan, E. M. Özkan","doi":"10.1142/s021798492450461x","DOIUrl":"https://doi.org/10.1142/s021798492450461x","url":null,"abstract":"The space-time fractional Burger-like equation and the space-time coupled Boussinesq equation with conformable derivative, both of which are significant in fluid dynamics, are investigated in this work using the improved [Formula: see text] method. The process works effectively and produces soliton solutions. The method was successfully and consistently implemented with Maple, a symbolic computing tool. The solutions also contain a few of graphics. Numerous novel exact solutions to these equations, distinct from those found earlier with the proposed approach, have been provided. The study’s findings add to the body of knowledge by offering insightful justifications for various types of nonlinear systems. The results demonstrated the value of the proposed method as a mathematical tool and the ease, dependability, and speed increases that result from carrying out these tasks using a symbolic computing program. Notably, it applies to many nonlinear evolution problems in mathematical physics.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141816138","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 : 2024-07-20DOI: 10.1142/s0217984924504700
M. Shahzad, N. A. Ahammad, S. Nadeem, A. Awan, Kamel Guedri, Ahmed Alamer, Bandar M. Fadhl
This analysis aimed to explore the blood-based non-Newtonian hybrid nanofluid flow in elliptical stenosed artery with single- and multi-walled carbon nanotubes as nanoparticles. The Carreau fluid model is incorporated to assess the non-Newtonian rheology of blood-based nanofluid for mild stenosis. In particular, the carotid artery is responsible for delivering blood to the brain. If normal blood circulation is disrupted or in the case of severe stenosis, blockage of the carotid artery can lead to the development of brain disability or stroke, which in turn can lead to death. The idealized mathematical equation is transformed into a nondimensional form and solved analytically via the perturbation method through a novel polynomial technique. These analytical solutions are explored and explained graphically. The system’s disorder and variability are assessed by completing an entropy production analysis. The disruption in blood flow due to the presence of nanoparticles causes uncertainty in the flow nature. This uncertainty is dealt with by fuzzy analysis of temperature distribution by accounting for the nanoparticle volume fractions as triangular fuzzy numbers. It is noticed that stenosis shapes and height greatly impact the flow characteristics. The nanoparticles’ percentage in fluid affected the temperature profile. The non-Newtonian characteristics of blood are found to be more dominant along the minor axis, and an effectively higher disorder is produced in this direction. It is observed that the temperature of nanofluid emerged as a triangular fuzzy number of symmetric shape.
{"title":"Non-Newtonian blood flow across stenosed elliptical artery: Case study of nanoparticles for brain disabilities with fuzzy logic","authors":"M. Shahzad, N. A. Ahammad, S. Nadeem, A. Awan, Kamel Guedri, Ahmed Alamer, Bandar M. Fadhl","doi":"10.1142/s0217984924504700","DOIUrl":"https://doi.org/10.1142/s0217984924504700","url":null,"abstract":"This analysis aimed to explore the blood-based non-Newtonian hybrid nanofluid flow in elliptical stenosed artery with single- and multi-walled carbon nanotubes as nanoparticles. The Carreau fluid model is incorporated to assess the non-Newtonian rheology of blood-based nanofluid for mild stenosis. In particular, the carotid artery is responsible for delivering blood to the brain. If normal blood circulation is disrupted or in the case of severe stenosis, blockage of the carotid artery can lead to the development of brain disability or stroke, which in turn can lead to death. The idealized mathematical equation is transformed into a nondimensional form and solved analytically via the perturbation method through a novel polynomial technique. These analytical solutions are explored and explained graphically. The system’s disorder and variability are assessed by completing an entropy production analysis. The disruption in blood flow due to the presence of nanoparticles causes uncertainty in the flow nature. This uncertainty is dealt with by fuzzy analysis of temperature distribution by accounting for the nanoparticle volume fractions as triangular fuzzy numbers. It is noticed that stenosis shapes and height greatly impact the flow characteristics. The nanoparticles’ percentage in fluid affected the temperature profile. The non-Newtonian characteristics of blood are found to be more dominant along the minor axis, and an effectively higher disorder is produced in this direction. It is observed that the temperature of nanofluid emerged as a triangular fuzzy number of symmetric shape.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141820242","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 : 2024-07-20DOI: 10.1142/s0217984924504657
Khadija Rafique, Zafar Mahmood, Usman, Adnan, Umar Farooq, W. Emam
Industrial applications in domains such as warm rolling, crystal development, thermal extrusion and optical fiber illustration are seeing a significant increase. These applications specifically focus on addressing the challenge of a cylinder in motion inside a fluid environment. Elevated temperatures may affect the viscosity and thermal conductivity of fluids. Understanding the relationship between temperature and the properties of fluids is crucial. In light of these presumptions, the primary goal of this study is to examine, under transverse magnetic field, shape factor, velocity, thermal slip conditions and viscous dissipation, how temperature-dependent fluid properties could enhance the heat transfer efficiency and performance evolution of ternary hybrid nanofluid. In order to study flow fluctuations, the impact of nanoparticle addition and improvements in heat transfer, a variable Prandtl number is also included. The use of similarity variables converts the controlling flow model from partial differential equations (PDEs) to ordinary differential equations (ODEs). Mathematica’s shooting strategy solves ODEs using the fourth-order Runge–Kutta (RK-IV) method. Numerical calculations were done after setting parameters to acquire the desired results. Analytical data are provided in tables and graphs for convenient usage. The results showed that the velocity profile increases as the values of [Formula: see text], Pr, M, Re and S grow, and decreases when the values of [Formula: see text] decrease. Re, Pr and S lower the temperature profile, whereas [Formula: see text], [Formula: see text] and Ec raise it. The skin friction profile steepens as [Formula: see text], S, Re and M increase relative to the stretched cylinder, and flattens as [Formula: see text] and [Formula: see text] decrease. The Nusselt number profile rises as [Formula: see text], Pr, S and Re decrease with [Formula: see text], Ec and [Formula: see text]. When the Prandtl number goes from 3.0 to 6.2 in a ternary hybrid nanofluid with brick-shaped nanoparticles, the Nusselt number goes up by around 55.7%.
热轧、晶体开发、热挤压和光纤插图等领域的工业应用正在显著增加。这些应用特别注重解决圆柱体在流体环境中运动的难题。温度升高可能会影响流体的粘度和导热性。了解温度与流体特性之间的关系至关重要。鉴于这些假设，本研究的主要目标是研究在横向磁场、形状系数、速度、热滑移条件和粘性耗散条件下，与温度相关的流体特性如何提高三元混合纳米流体的传热效率和性能演化。为了研究流动波动、纳米粒子添加的影响和传热的改善，还加入了可变普朗特数。相似变量的使用将控制流模型从偏微分方程（PDE）转换为常微分方程（ODE）。Mathematica 的射击策略使用四阶 Runge-Kutta (RK-IV) 方法求解 ODE。在设置参数后进行了数值计算，以获得所需的结果。分析数据以表格和图表形式提供，方便使用。结果表明，速度曲线随着[计算公式：见正文]、Pr、M、Re 和 S 值的增大而增大，当[计算公式：见正文]值减小时速度曲线减小。Re、Pr 和 S 会降低温度曲线，而[公式：见正文]、[公式：见正文]和 Ec 则会升高温度曲线。相对于拉伸圆柱体，当[公式：见正文]、S、Re 和 M 增加时，表皮摩擦曲线变陡，当[公式：见正文]和[公式：见正文]减小时，表皮摩擦曲线变平。当[公式：见正文]、Pr、S 和 Re 随[公式：见正文]、Ec 和[公式：见正文]减小时，努塞尔特数曲线上升。当带有砖形纳米颗粒的三元混合纳米流体中的普朗特数从 3.0 上升到 6.2 时，努塞尔特数上升了约 55.7%。
{"title":"Numerical study of MHD flow over stretching cylinder with variable Prandtl number and viscous dissipation in ternary hybrid nanofluids with velocity and thermal slip conditions","authors":"Khadija Rafique, Zafar Mahmood, Usman, Adnan, Umar Farooq, W. Emam","doi":"10.1142/s0217984924504657","DOIUrl":"https://doi.org/10.1142/s0217984924504657","url":null,"abstract":"Industrial applications in domains such as warm rolling, crystal development, thermal extrusion and optical fiber illustration are seeing a significant increase. These applications specifically focus on addressing the challenge of a cylinder in motion inside a fluid environment. Elevated temperatures may affect the viscosity and thermal conductivity of fluids. Understanding the relationship between temperature and the properties of fluids is crucial. In light of these presumptions, the primary goal of this study is to examine, under transverse magnetic field, shape factor, velocity, thermal slip conditions and viscous dissipation, how temperature-dependent fluid properties could enhance the heat transfer efficiency and performance evolution of ternary hybrid nanofluid. In order to study flow fluctuations, the impact of nanoparticle addition and improvements in heat transfer, a variable Prandtl number is also included. The use of similarity variables converts the controlling flow model from partial differential equations (PDEs) to ordinary differential equations (ODEs). Mathematica’s shooting strategy solves ODEs using the fourth-order Runge–Kutta (RK-IV) method. Numerical calculations were done after setting parameters to acquire the desired results. Analytical data are provided in tables and graphs for convenient usage. The results showed that the velocity profile increases as the values of [Formula: see text], Pr, M, Re and S grow, and decreases when the values of [Formula: see text] decrease. Re, Pr and S lower the temperature profile, whereas [Formula: see text], [Formula: see text] and Ec raise it. The skin friction profile steepens as [Formula: see text], S, Re and M increase relative to the stretched cylinder, and flattens as [Formula: see text] and [Formula: see text] decrease. The Nusselt number profile rises as [Formula: see text], Pr, S and Re decrease with [Formula: see text], Ec and [Formula: see text]. When the Prandtl number goes from 3.0 to 6.2 in a ternary hybrid nanofluid with brick-shaped nanoparticles, the Nusselt number goes up by around 55.7%.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141818921","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 : 2024-07-20DOI: 10.1142/s0217984924504876
Md. Latifur Rahman Emom, M. Ferdows, Mohamed R. Eid
This study investigates the behavior of a mixed convective boundary layer flowing around a rigid spherical shape with non-isothermal wall temperature. The fluid assumed in this examination exhibits both incompressibility and viscosity. The major purpose is to examine the impact of the non-uniform surface temperature on the flow patterns, including velocity outlines and temperature outlines. An examination is conducted on the modified conservation equations of the boundary layer flow utilizing the local non-similarity method. The MATLAB built-in code bvp4c is used to find computational solutions. The outcomes are then shown for both air and water, specifically at a temperature of 21°C. The influence of several factors, such as the mixed convective variable [Formula: see text] and the exponent [Formula: see text] in the wall temperature function [Formula: see text]), is shown in velocity and temperature profiles. In addition, the study computes the local frictional force factor and local wall heat transport factor and compares these values with results from earlier research. Significantly, the study expands upon data made around the lower stagnating point to include other sites within the sphere, thereby offering a thorough comprehension of the whole flowing field.
{"title":"Local nonsimilar solution and heat analysis of mixed convective flow across whole spherical shape with nonisothermal surface temperature","authors":"Md. Latifur Rahman Emom, M. Ferdows, Mohamed R. Eid","doi":"10.1142/s0217984924504876","DOIUrl":"https://doi.org/10.1142/s0217984924504876","url":null,"abstract":"This study investigates the behavior of a mixed convective boundary layer flowing around a rigid spherical shape with non-isothermal wall temperature. The fluid assumed in this examination exhibits both incompressibility and viscosity. The major purpose is to examine the impact of the non-uniform surface temperature on the flow patterns, including velocity outlines and temperature outlines. An examination is conducted on the modified conservation equations of the boundary layer flow utilizing the local non-similarity method. The MATLAB built-in code bvp4c is used to find computational solutions. The outcomes are then shown for both air and water, specifically at a temperature of 21°C. The influence of several factors, such as the mixed convective variable [Formula: see text] and the exponent [Formula: see text] in the wall temperature function [Formula: see text]), is shown in velocity and temperature profiles. In addition, the study computes the local frictional force factor and local wall heat transport factor and compares these values with results from earlier research. Significantly, the study expands upon data made around the lower stagnating point to include other sites within the sphere, thereby offering a thorough comprehension of the whole flowing field.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819291","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 : 2024-07-20DOI: 10.1142/s0217984924504840
Sahar Anwar, U. Ahmad, Ghulam Rasool, Muhammad Ashraf, Kamil Abbas
This study focuses on how the porous medium affects the plume generated due to line heat source when an aligned magnetic field is present. For this study, the momentum equation of the flow model is modified for porous medium by including the porosity term. A mathematical model is developed as coupled partial differential equations in order to study the flow problem. Later, a numerical solution is found for the system of coupled partial differential equations that are transmuted in to ordinary differential equations. For this purpose, the numerical characteristics of the problem are derived employing a shooting approach in combination with the built-in MATLAB tool bvp4c. The graphical illustrations of missing and specified boundary conditions demonstrate the impacts of porosity parameter [Formula: see text], magnetic force parameter S, Prandtl number [Formula: see text] and magnetic Prandtl number [Formula: see text] accompanied by a discussion of their corresponding physical implications. The novelty of this developed problem is proclaimed with justification by its emphasis on the principal characteristics of heat and fluid flow affected predominantly by the presence of a porous medium. The thorough examination of the porosity parameter [Formula: see text] for missing conditions depicts that the temperature and velocity profiles enhance while current density drops for the increasing values of the porosity parameter [Formula: see text]. Whereas, for specified conditions, the skin friction and magnetic flux enhance but heat transfer rate declines with increment in [Formula: see text].
{"title":"Impact of porous medium on natural convection heat transfer in plume generated due to the combined effects of heat source and aligned magnetic field","authors":"Sahar Anwar, U. Ahmad, Ghulam Rasool, Muhammad Ashraf, Kamil Abbas","doi":"10.1142/s0217984924504840","DOIUrl":"https://doi.org/10.1142/s0217984924504840","url":null,"abstract":"This study focuses on how the porous medium affects the plume generated due to line heat source when an aligned magnetic field is present. For this study, the momentum equation of the flow model is modified for porous medium by including the porosity term. A mathematical model is developed as coupled partial differential equations in order to study the flow problem. Later, a numerical solution is found for the system of coupled partial differential equations that are transmuted in to ordinary differential equations. For this purpose, the numerical characteristics of the problem are derived employing a shooting approach in combination with the built-in MATLAB tool bvp4c. The graphical illustrations of missing and specified boundary conditions demonstrate the impacts of porosity parameter [Formula: see text], magnetic force parameter S, Prandtl number [Formula: see text] and magnetic Prandtl number [Formula: see text] accompanied by a discussion of their corresponding physical implications. The novelty of this developed problem is proclaimed with justification by its emphasis on the principal characteristics of heat and fluid flow affected predominantly by the presence of a porous medium. The thorough examination of the porosity parameter [Formula: see text] for missing conditions depicts that the temperature and velocity profiles enhance while current density drops for the increasing values of the porosity parameter [Formula: see text]. Whereas, for specified conditions, the skin friction and magnetic flux enhance but heat transfer rate declines with increment in [Formula: see text].","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819584","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：