S. M. Hussain, Nouman Ijaz, Sami Dhahbi, Najma Saleem, Ahmad Zeeshan
Multiphase fluids exhibit immiscible, heterogeneous structures like emulsions, foams, and suspensions. Their complex rheology arises from relative phase proportions, interfacial interactions, and component properties. Consequently, they demonstrate nonlinear effects—shear‐thinning, viscoelasticity, and yield stress. Peristalsis generates fluid flow by propagating contraction waves along channel walls. This mechanism can effectively transport multiphase and non‐Newtonian fluids in microsystems. Accurate modeling requires considering evolving phase relations, variable viscosity, slip, and particle migration anomalies, using approaches like homogenization theory or volume‐averaging. Applications include peristaltic pumping of emulsified biopharmaceuticals, microscale mixing/separating of multiphase constituents, and enhancing porous media fluid flow in oil reservoirs. Analytical and computational approaches to modeling multiphase fluid flows in peristaltic conduits provide an enhanced understanding of their complex dynamics, toward innovating engineering systems. An analytical approach is taken to model non‐Newtonian Ree‐Eyring fluid flows in asymmetric, peristaltic systems. Governing differential equations incorporate key parameters and yield closed‐form solutions for velocity, flow rate, and permeability. Suitable assumptions of long wavelength, and low Reynolds number provide accuracy. In parallel, an artificial neural network (ANN) is developed using supervised learning to predict permeability. The inputs consist of channel asymmetry, Reynolds number, amplitude ratio, and other physical factors. Outcomes validate both methodologies—analytical equations derive precise relationships from first principles, while ANNs reliably learn the system patterns from input‐output data. Additionally, ANNs can tackle more complex fluid dynamics problems with speed and adaptability. Their promising role is highlighted in developing new fluid models, improving the efficiency of simulations, and designing control systems. Side‐by‐side analytical and ANN simulation plots will further highlight ANN capabilities in emulating the system characteristics. This paves the path for employing machine learning to investigate multifaceted flows in flexible, peristaltic systems at scale. Performing a graphical examination of the engineering skin friction coefficient across a range of parameters, encompassing volume fraction, first and second order slip, Ree–Eyring fluid attributes, and permeability.
多相流体具有不相溶的异质结构，如乳液、泡沫和悬浮液。其复杂的流变性源于相对相比例、界面相互作用和组分特性。因此，它们表现出非线性效应--剪切稀化、粘弹性和屈服应力。蠕动通过沿通道壁传播收缩波来产生流体流动。这种机制可以在微系统中有效地输送多相和非牛顿流体。精确建模需要考虑不断变化的相位关系、可变粘度、滑移和颗粒迁移异常，使用的方法包括均质化理论或体积平均法。其应用包括乳化生物制药的蠕动泵送、多相成分的微尺度混合/分离以及增强油藏中多孔介质流体的流动。通过分析和计算方法对蠕动管道中的多相流体流动进行建模，可加深对其复杂动态的理解，从而实现工程系统的创新。采用分析方法对非对称蠕动系统中的非牛顿Ree-Eyring流体流动进行建模。控制微分方程包含关键参数，并得出速度、流速和渗透率的闭式解。长波长和低雷诺数的适当假设提供了准确性。与此同时，还开发了一个人工神经网络 (ANN)，利用监督学习来预测渗透率。输入包括通道不对称性、雷诺数、振幅比和其他物理因素。结果验证了这两种方法--分析方程从第一原理推导出精确的关系，而 ANN 则从输入-输出数据中可靠地学习系统模式。此外，ANN 还能快速、灵活地解决更复杂的流体动力学问题。在开发新的流体模型、提高模拟效率和设计控制系统方面，ANN 的作用前景十分广阔。分析图和自动数值网络模拟图的并排显示将进一步突出自动数值网络在模拟系统特性方面的能力。这为利用机器学习大规模研究柔性蠕动系统中的多方面流动铺平了道路。在一系列参数（包括体积分数、一阶和二阶滑移、Ree-Eyring 流体属性和渗透性）范围内对工程表皮摩擦系数进行图形检查。
{"title":"A comparative study of exact and neural network models for wave‐induced multiphase flow in nonuniform geometries: Application of Levenberg–Marquardt neural networks","authors":"S. M. Hussain, Nouman Ijaz, Sami Dhahbi, Najma Saleem, Ahmad Zeeshan","doi":"10.1002/zamm.202400210","DOIUrl":"https://doi.org/10.1002/zamm.202400210","url":null,"abstract":"Multiphase fluids exhibit immiscible, heterogeneous structures like emulsions, foams, and suspensions. Their complex rheology arises from relative phase proportions, interfacial interactions, and component properties. Consequently, they demonstrate nonlinear effects—shear‐thinning, viscoelasticity, and yield stress. Peristalsis generates fluid flow by propagating contraction waves along channel walls. This mechanism can effectively transport multiphase and non‐Newtonian fluids in microsystems. Accurate modeling requires considering evolving phase relations, variable viscosity, slip, and particle migration anomalies, using approaches like homogenization theory or volume‐averaging. Applications include peristaltic pumping of emulsified biopharmaceuticals, microscale mixing/separating of multiphase constituents, and enhancing porous media fluid flow in oil reservoirs. Analytical and computational approaches to modeling multiphase fluid flows in peristaltic conduits provide an enhanced understanding of their complex dynamics, toward innovating engineering systems. An analytical approach is taken to model non‐Newtonian Ree‐Eyring fluid flows in asymmetric, peristaltic systems. Governing differential equations incorporate key parameters and yield closed‐form solutions for velocity, flow rate, and permeability. Suitable assumptions of long wavelength, and low Reynolds number provide accuracy. In parallel, an artificial neural network (ANN) is developed using supervised learning to predict permeability. The inputs consist of channel asymmetry, Reynolds number, amplitude ratio, and other physical factors. Outcomes validate both methodologies—analytical equations derive precise relationships from first principles, while ANNs reliably learn the system patterns from input‐output data. Additionally, ANNs can tackle more complex fluid dynamics problems with speed and adaptability. Their promising role is highlighted in developing new fluid models, improving the efficiency of simulations, and designing control systems. Side‐by‐side analytical and ANN simulation plots will further highlight ANN capabilities in emulating the system characteristics. This paves the path for employing machine learning to investigate multifaceted flows in flexible, peristaltic systems at scale. Performing a graphical examination of the engineering skin friction coefficient across a range of parameters, encompassing volume fraction, first and second order slip, Ree–Eyring fluid attributes, and permeability.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"52 41","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929327","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}
Abdul Hamid Ganie, Zeeshan, Ali M. Mahnashi, Ahmad Shafee, Rasoo Shah, Dowlath Fathima
This research paper aims to investigate the peristaltic transport of a nanofluid (NF) in a tapered asymmetric channel. Initially, the governing equations for the balance of mass, momentum, temperature, and volume fraction for the NF using Reiner–Philippoff (RP) based NF are formulated. Subsequently, these equations are employed to analyze long wavelength and small Reynolds number scenarios. The numerical results for various flow features are thoroughly examined and discussed. Dual solutions have been examined for some factors. So, stability assessment is implemented to find stable solution. Novelty of the existing is to investigate the peristaltic motion of Buongiorno's NF model and its stability which has not investigated in the previous literatures. It has been demonstrated that modifying the RPF parameter leads to a transition in the fluid's velocity, changing it from a dilatant liquid to a Newtonian fluid and from Newtonian to pseudoplastic. The findings indicate that the temperature curves rise as Brownian motion and thermophoretic factors increase, while they decrease as the Prandtl number increases. Furthermore, a concise mathematical and graphical analysis is carried out to examine the impact of each key parameter on the flow characteristics.
{"title":"Peristaltic transport with multiple solutions of heat and mass transfer using modified Buongiorno nanofluid model over tapered channel with long wave‐length at small Reynolds number","authors":"Abdul Hamid Ganie, Zeeshan, Ali M. Mahnashi, Ahmad Shafee, Rasoo Shah, Dowlath Fathima","doi":"10.1002/zamm.202400110","DOIUrl":"https://doi.org/10.1002/zamm.202400110","url":null,"abstract":"This research paper aims to investigate the peristaltic transport of a nanofluid (NF) in a tapered asymmetric channel. Initially, the governing equations for the balance of mass, momentum, temperature, and volume fraction for the NF using Reiner–Philippoff (RP) based NF are formulated. Subsequently, these equations are employed to analyze long wavelength and small Reynolds number scenarios. The numerical results for various flow features are thoroughly examined and discussed. Dual solutions have been examined for some factors. So, stability assessment is implemented to find stable solution. Novelty of the existing is to investigate the peristaltic motion of Buongiorno's NF model and its stability which has not investigated in the previous literatures. It has been demonstrated that modifying the RPF parameter leads to a transition in the fluid's velocity, changing it from a dilatant liquid to a Newtonian fluid and from Newtonian to pseudoplastic. The findings indicate that the temperature curves rise as Brownian motion and thermophoretic factors increase, while they decrease as the Prandtl number increases. Furthermore, a concise mathematical and graphical analysis is carried out to examine the impact of each key parameter on the flow characteristics.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"39 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141818431","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}
Asad Ullah, Hongxing Yao, Ikramullah, N. A. Othman, El‐Sayed M. Sherif
We examine the flow of Casson hybrid nanofluid (Cu+/) through a Riga plate sensor with perforations that act as an electromagnetic actuator. The hypodicarbonous acid is considered a base fluid. The impact of Arrhenius chemical kinetics and viscous dissipation are taken into account during the dynamics. The problem is formulated by considering the heat and mass transfer. An appropriate scaling is used to reduce the complexity of the problem, and further transform it into a system of ordinary differential equations (ODEs). The reduced system is further set for the first‐order system of equations that are analyzed with the Artificial Neural Network (ANN) which is trained with the Levenberg–Marquardt algorithm. The results for the state variables are displayed through graphs and tables by performing 1000 independent iterations with tolerance and . The Hartman, Casson, and Richardson numbers with their increasing values enhance the velocity profile. The chemical reaction parameter and the Prandtl number decline the thermal and concentration profiles, respectively. The Statistical analysis in the form of regression and histograms is also carried out in each case. The absolute error (AE) ranges up to and validations that range up to are presented for the varying values of each parameter. A comparative analysis of the nanofluid (NF) and hybrid nanofluid (HNF) is performed in each case study. The results for skin friction and Nusselt number are displayed numerically in the form of tables and are compared with the available literature, where the accuracy and performance of ANN are proved.
我们研究了卡松混合纳米流体（Cu+/）流经带穿孔的里加板传感器的情况，穿孔起到了电磁致动器的作用。次碳酸被视为基液。动力学过程中考虑了阿伦尼乌斯化学动力学和粘性耗散的影响。该问题是通过考虑传热和传质来解决的。通过适当的缩放来降低问题的复杂性，并进一步将其转化为常微分方程（ODE）系统。缩减后的系统进一步设置为一阶方程系统，并利用人工神经网络（ANN）进行分析，该网络采用 Levenberg-Marquardt 算法进行训练。通过执行 1000 次独立迭代，在容差为 和 的情况下，状态变量的结果将通过图形和表格显示出来。哈特曼数、卡森数和理查德森数的数值不断增加，从而增强了速度曲线。化学反应参数和普朗特数分别会降低热曲线和浓度曲线。对每种情况还进行了回归和直方图形式的统计分析。针对每个参数的不同值，给出了最大绝对误差（AE）范围和最大验证范围。每个案例研究都对纳米流体（NF）和混合纳米流体（HNF）进行了比较分析。表皮摩擦系数和努塞尔特数的结果以表格形式进行了数值显示，并与现有文献进行了比较，证明了 ANN 的准确性和性能。
{"title":"A neuro‐computational study of viscous dissipation and nonlinear Arrhenius chemical kinetics during the hypodicarbonous acid‐based hybrid nanofluid flow past a Riga plate","authors":"Asad Ullah, Hongxing Yao, Ikramullah, N. A. Othman, El‐Sayed M. Sherif","doi":"10.1002/zamm.202400208","DOIUrl":"https://doi.org/10.1002/zamm.202400208","url":null,"abstract":"We examine the flow of Casson hybrid nanofluid (Cu+/) through a Riga plate sensor with perforations that act as an electromagnetic actuator. The hypodicarbonous acid is considered a base fluid. The impact of Arrhenius chemical kinetics and viscous dissipation are taken into account during the dynamics. The problem is formulated by considering the heat and mass transfer. An appropriate scaling is used to reduce the complexity of the problem, and further transform it into a system of ordinary differential equations (ODEs). The reduced system is further set for the first‐order system of equations that are analyzed with the Artificial Neural Network (ANN) which is trained with the Levenberg–Marquardt algorithm. The results for the state variables are displayed through graphs and tables by performing 1000 independent iterations with tolerance and . The Hartman, Casson, and Richardson numbers with their increasing values enhance the velocity profile. The chemical reaction parameter and the Prandtl number decline the thermal and concentration profiles, respectively. The Statistical analysis in the form of regression and histograms is also carried out in each case. The absolute error (AE) ranges up to and validations that range up to are presented for the varying values of each parameter. A comparative analysis of the nanofluid (NF) and hybrid nanofluid (HNF) is performed in each case study. The results for skin friction and Nusselt number are displayed numerically in the form of tables and are compared with the available literature, where the accuracy and performance of ANN are proved.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":" 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141831087","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}
S. Shaheen, M. B. Arain, Nouman Ijaz, Faisal Z. Duraihem, Junhui Hu
Cilia‐based therapies are emerging for treating ciliopathies, such as inhalable drugs to propel mucus out of the lungs of patients with cystic fibrosis. This has motivated scientists and researchers to investigate cilia motion mechanics and viscoelastic fluid properties for biomedical engineering applications and disease treatments. In line with the diverse biological implications, this study focuses on the mass and heat transfer flow of tri‐layered non‐Newtonian fluids propelled by ciliary beating in a cylindrical tube. The fluid remains incompressible, with distinct layers that do not mix. The study considers the impact of mass and heat transfer in three distinct regimes, ensuring continuity at the interfaces. Mathematical modeling incorporating the lubrication approximation, small Reynolds number, and long wavelength approximation is employed for simplification. The resulting differential equations, along with boundary conditions, yield accurate solutions for temperature, velocity, and concentration fields in the three fluid layers and are discussed graphically. Key findings demonstrate that velocity and temperature fields are most pronounced in the inner fluid layer (PCL), while the concentration profile is most prominent in the outer layers (ACL), with moderate behavior in the central region. The implications of this research extend to diverse fields, including mucus clearance from the respiratory tract, microfluidics, esophageal transport, biofluid mechanics, and other areas of physiology. The insights gained from this study have promising applications in developing new treatments and biomedical engineering solutions.
{"title":"Insights into metachronal propulsion's influence on Ellis fluid flow across tri‐layers amid dynamic thermal transport: Theoretical study","authors":"S. Shaheen, M. B. Arain, Nouman Ijaz, Faisal Z. Duraihem, Junhui Hu","doi":"10.1002/zamm.202300977","DOIUrl":"https://doi.org/10.1002/zamm.202300977","url":null,"abstract":"Cilia‐based therapies are emerging for treating ciliopathies, such as inhalable drugs to propel mucus out of the lungs of patients with cystic fibrosis. This has motivated scientists and researchers to investigate cilia motion mechanics and viscoelastic fluid properties for biomedical engineering applications and disease treatments. In line with the diverse biological implications, this study focuses on the mass and heat transfer flow of tri‐layered non‐Newtonian fluids propelled by ciliary beating in a cylindrical tube. The fluid remains incompressible, with distinct layers that do not mix. The study considers the impact of mass and heat transfer in three distinct regimes, ensuring continuity at the interfaces. Mathematical modeling incorporating the lubrication approximation, small Reynolds number, and long wavelength approximation is employed for simplification. The resulting differential equations, along with boundary conditions, yield accurate solutions for temperature, velocity, and concentration fields in the three fluid layers and are discussed graphically. Key findings demonstrate that velocity and temperature fields are most pronounced in the inner fluid layer (PCL), while the concentration profile is most prominent in the outer layers (ACL), with moderate behavior in the central region. The implications of this research extend to diverse fields, including mucus clearance from the respiratory tract, microfluidics, esophageal transport, biofluid mechanics, and other areas of physiology. The insights gained from this study have promising applications in developing new treatments and biomedical engineering solutions.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"9 29","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640515","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}
A. Awan, Sidra Qayyum, S. Nadeem, N. A. Ahammad, Khaled A. Gepreel, Mohammed Alharthi, Moataz Alosaimi
The literature showed that an empirical experiment creates another part of exploration that has been made in the field of thermal science, such that today, modern researchers are more directed to utilize hybrid types of nanoparticles due to their efficient thermal conductivity compared to single nanoparticles. The study of the hybrid flow of nanofluid is essential in many scientific and industrial arguments, such as power generation, medical equipment, oil refineries, and so forth. Furthermore, it has distinctive features to advance the expertise of their energy sources and cooling methodologies. Incentives by this research postulation: The significant objective of this investigation is to design a mathematical model of Prandtl hybrid nano liquid flow over a Riga plate when nanoparticles of aluminum alloys (AA7072 and AA7075) are suspended in engine oil. Mixed convection, activation energy, and heat radiation are also considered. The nanomaterial is modeled using a modified Buongiorno model that considers the functional qualities of hybrid nanofluids. The simulated PDEs are converted into a collection of nonlinear ODEs with appropriate and relevant similarity transformations, which are numerically addressed using finite‐difference‐oriented bvp4c procedure in MATLAB. Graphs and tables are used to evaluate and show the impacts of different factors on velocity, temperature, concentration fields, skin friction number, and Nusselt number. The velocity profile develops with the enhancement of Prandtl fluid parameters. With the increment in the magnetic parameter, both temperature and concentration profiles improve, but in the case of the Brownian motion parameter, the concentration profile declines. In terms of heat transfer, hybrid nanofluids outperform ordinary nanofluids. The current results provide an equitable contrast against the results that already exist.
{"title":"Analysis of chemical characteristics of engine‐oil‐based Prandtl hybrid nanofluid flow","authors":"A. Awan, Sidra Qayyum, S. Nadeem, N. A. Ahammad, Khaled A. Gepreel, Mohammed Alharthi, Moataz Alosaimi","doi":"10.1002/zamm.202400050","DOIUrl":"https://doi.org/10.1002/zamm.202400050","url":null,"abstract":"The literature showed that an empirical experiment creates another part of exploration that has been made in the field of thermal science, such that today, modern researchers are more directed to utilize hybrid types of nanoparticles due to their efficient thermal conductivity compared to single nanoparticles. The study of the hybrid flow of nanofluid is essential in many scientific and industrial arguments, such as power generation, medical equipment, oil refineries, and so forth. Furthermore, it has distinctive features to advance the expertise of their energy sources and cooling methodologies. Incentives by this research postulation: The significant objective of this investigation is to design a mathematical model of Prandtl hybrid nano liquid flow over a Riga plate when nanoparticles of aluminum alloys (AA7072 and AA7075) are suspended in engine oil. Mixed convection, activation energy, and heat radiation are also considered. The nanomaterial is modeled using a modified Buongiorno model that considers the functional qualities of hybrid nanofluids. The simulated PDEs are converted into a collection of nonlinear ODEs with appropriate and relevant similarity transformations, which are numerically addressed using finite‐difference‐oriented bvp4c procedure in MATLAB. Graphs and tables are used to evaluate and show the impacts of different factors on velocity, temperature, concentration fields, skin friction number, and Nusselt number. The velocity profile develops with the enhancement of Prandtl fluid parameters. With the increment in the magnetic parameter, both temperature and concentration profiles improve, but in the case of the Brownian motion parameter, the concentration profile declines. In terms of heat transfer, hybrid nanofluids outperform ordinary nanofluids. The current results provide an equitable contrast against the results that already exist.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"2 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640223","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}
This study examines the flow rate, Bejan number transportation, concentration distribution and thermal characteristics of an immiscible couple stress‐ micropolar fluids within a porous channel. The authors focus on the effects of heat radiation and an angled magnetic field on the thermal dispersion, concentration distribution and entropy formation of two different types of incompressible immiscible micropolar and couple stress fluids inside a porous channel. Here, the static walls of the channel are isothermal, and the pressure gradient in the flow domain's entrance zone is constant. In this flow problem, we tried to simulate thermal radiation in the energy equation by applying Rosseland's diffusion approximation. To solve the problem, the authors have used no‐slip conditions at the channel's immovable walls, a continuity of temperature profile, shear stresses, thermal flux, linear velocity, and micro‐rotational velocity over the fluid‐fluid interface. The equations that govern the flow of immiscible fluids are solved using a well‐defined methodology and both the temperature and flow field are then evaluated using a closed‐form solution. The mathematical results of the thermal distribution and flow velocity are used to derive the Bejan number distribution and the entropy generation number. Graphical discussions are used to illustrate the impact of different emerging factors on the model's flow and thermal properties, which describe the major impact of the proposed model. These variables involve the micropolarity parameter, Reynolds number, inclination angle parameter, radiation parameter, and Hartmann number. The outcomes of the present models are corroborated by previously established results available in the literature.
{"title":"Heat and mass transfer analysis of non‐miscible couple stress and micropolar fluids flow through a porous saturated channel","authors":"Ankit Kumar, P. Yadav","doi":"10.1002/zamm.202300635","DOIUrl":"https://doi.org/10.1002/zamm.202300635","url":null,"abstract":"This study examines the flow rate, Bejan number transportation, concentration distribution and thermal characteristics of an immiscible couple stress‐ micropolar fluids within a porous channel. The authors focus on the effects of heat radiation and an angled magnetic field on the thermal dispersion, concentration distribution and entropy formation of two different types of incompressible immiscible micropolar and couple stress fluids inside a porous channel. Here, the static walls of the channel are isothermal, and the pressure gradient in the flow domain's entrance zone is constant. In this flow problem, we tried to simulate thermal radiation in the energy equation by applying Rosseland's diffusion approximation. To solve the problem, the authors have used no‐slip conditions at the channel's immovable walls, a continuity of temperature profile, shear stresses, thermal flux, linear velocity, and micro‐rotational velocity over the fluid‐fluid interface. The equations that govern the flow of immiscible fluids are solved using a well‐defined methodology and both the temperature and flow field are then evaluated using a closed‐form solution. The mathematical results of the thermal distribution and flow velocity are used to derive the Bejan number distribution and the entropy generation number. Graphical discussions are used to illustrate the impact of different emerging factors on the model's flow and thermal properties, which describe the major impact of the proposed model. These variables involve the micropolarity parameter, Reynolds number, inclination angle parameter, radiation parameter, and Hartmann number. The outcomes of the present models are corroborated by previously established results available in the literature.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"10 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640704","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}
Nonlinear instability of surface waves between viscous–liquid and inviscid‐gas layers is discussed. The two fluids are magnetic and subjected to uniform oblique magnetic field. The gas is subsonic and the viscosity is introduced by viscous potential approximation. The evolution equations near and on the marginal state are derived by means of multiple scales technique. The stability criteria of the waves are obtained by the modulation idea. Many special cases of dispersion equation as well as solvability conditions correspond well the similar ones in the literature. Various numerical applications have been investigated to reveal the parameters effects on the system stability. Linear results show dual influences for magnetic field, sum of inclination angles and permeability ratio whereas the wavelength, gas motion, and inclination angle in the liquid tend to destabilize the flow. Nonlinear applications reveal dual role for the gas thickness, while it has a linear stable‐role. Moreover, nonlinearity shows dual roles for viscosity and liquid thickness, which have no influences according to linear theory. The investigation of stability using nonlinear theory seems more accurate to describe the (un)stable influences comparing with the linear one. The current work may be useful to give more accurate comprehension of stability process as well as to obtain the required conditions of stability by designing suitable devices, which control the model parameters.
{"title":"Nonlinear instability of surface waves between viscous–liquid and subsonic‐gas layers subject to uniform oblique magnetic field","authors":"A. Assaf, Noha M. Hafez","doi":"10.1002/zamm.202301016","DOIUrl":"https://doi.org/10.1002/zamm.202301016","url":null,"abstract":"Nonlinear instability of surface waves between viscous–liquid and inviscid‐gas layers is discussed. The two fluids are magnetic and subjected to uniform oblique magnetic field. The gas is subsonic and the viscosity is introduced by viscous potential approximation. The evolution equations near and on the marginal state are derived by means of multiple scales technique. The stability criteria of the waves are obtained by the modulation idea. Many special cases of dispersion equation as well as solvability conditions correspond well the similar ones in the literature. Various numerical applications have been investigated to reveal the parameters effects on the system stability. Linear results show dual influences for magnetic field, sum of inclination angles and permeability ratio whereas the wavelength, gas motion, and inclination angle in the liquid tend to destabilize the flow. Nonlinear applications reveal dual role for the gas thickness, while it has a linear stable‐role. Moreover, nonlinearity shows dual roles for viscosity and liquid thickness, which have no influences according to linear theory. The investigation of stability using nonlinear theory seems more accurate to describe the (un)stable influences comparing with the linear one. The current work may be useful to give more accurate comprehension of stability process as well as to obtain the required conditions of stability by designing suitable devices, which control the model parameters.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"4 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141356756","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}
This research article presents a comprehensive examination of effective stress behavior in internally pressurized cylinders with varying density, utilizing Norton's law as the analytical framework. Our thorough numerical computations encompass a wide array of steels and steel alloys commonly employed in cylinder fabrication, covering five distinct types of anisotropy. The investigation meticulously analyzes the profound impact of anisotropy and the exponent “n” within the creep law. A key insight emerges as the effective stress values for anisotropic materials, particularly in Type‐I and Type‐II, showcase a notable reduction compared to their isotropic counterparts in Type‐III. Moreover, we highlight the active role played by an increasing density parameter in elevating the values of radial, circumferential, axial stress, and effective stress within the rotating cylinder composed of anisotropic materials.
这篇研究文章以诺顿定律为分析框架，对密度不同的内压气缸的有效应力行为进行了全面研究。我们的全面数值计算涵盖了气缸制造中常用的各种钢材和钢合金，涵盖了五种不同类型的各向异性。研究细致分析了蠕变规律中各向异性和指数 "n "的深刻影响。我们发现，各向异性材料的有效应力值，尤其是 I 型和 II 型材料的有效应力值，与 III 型材料中各向同性材料的有效应力值相比明显降低。此外，我们还强调了密度参数的增加在提高由各向异性材料组成的旋转圆柱体内的径向、圆周、轴向应力和有效应力值方面所起的积极作用。
{"title":"Exploring the effective stress behavior of internally pressurized cylinders with varying density","authors":"Arjun Singh, Priya Gulial, Pankaj Thakur","doi":"10.1002/zamm.202400254","DOIUrl":"https://doi.org/10.1002/zamm.202400254","url":null,"abstract":"This research article presents a comprehensive examination of effective stress behavior in internally pressurized cylinders with varying density, utilizing Norton's law as the analytical framework. Our thorough numerical computations encompass a wide array of steels and steel alloys commonly employed in cylinder fabrication, covering five distinct types of anisotropy. The investigation meticulously analyzes the profound impact of anisotropy and the exponent “n” within the creep law. A key insight emerges as the effective stress values for anisotropic materials, particularly in Type‐I and Type‐II, showcase a notable reduction compared to their isotropic counterparts in Type‐III. Moreover, we highlight the active role played by an increasing density parameter in elevating the values of radial, circumferential, axial stress, and effective stress within the rotating cylinder composed of anisotropic materials.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"39 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141358642","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}
M. Ghazwani, A. Alnujaie, M. Eltaher, Pham Van Vinh
The role of nonlocality on low and high frequency behaviors and modes of the functionally graded (FG) sandwich nanoplates is investigated in this study for the first time using simple nonlocal higher‐order shear deformation theory (HSDT). The simple HSDT consists of only four unknowns in its equation of the displacement field. The nonlocal elasticity theory is used to consider the small‐scale effects on the behaviors of the nanoplates. The governing equations of motion are established by applying Hamilton's principle, then Navier's solution technique is employed to solve these equations to achieve the free vibration behaviors of the FG sandwich nanoplates. The vibrations of the nanoplates under both low and high frequency conditions are investigated, but the high frequency vibration of the nanoplates is discussed extensively. The influences of the geometrical dimensions, material gradient index, and nonlocal parameter on the high frequency vibration of the FG nanoplates are also considered and discussed comprehensively.
{"title":"The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates","authors":"M. Ghazwani, A. Alnujaie, M. Eltaher, Pham Van Vinh","doi":"10.1002/zamm.202400088","DOIUrl":"https://doi.org/10.1002/zamm.202400088","url":null,"abstract":"The role of nonlocality on low and high frequency behaviors and modes of the functionally graded (FG) sandwich nanoplates is investigated in this study for the first time using simple nonlocal higher‐order shear deformation theory (HSDT). The simple HSDT consists of only four unknowns in its equation of the displacement field. The nonlocal elasticity theory is used to consider the small‐scale effects on the behaviors of the nanoplates. The governing equations of motion are established by applying Hamilton's principle, then Navier's solution technique is employed to solve these equations to achieve the free vibration behaviors of the FG sandwich nanoplates. The vibrations of the nanoplates under both low and high frequency conditions are investigated, but the high frequency vibration of the nanoplates is discussed extensively. The influences of the geometrical dimensions, material gradient index, and nonlocal parameter on the high frequency vibration of the FG nanoplates are also considered and discussed comprehensively.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"124 29","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141360485","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}
This study investigates the physical characteristics of a two‐dimensional Jeffery fluid by incorporating the electroosmosis effect and employing slip boundary conditions along wavy walls. The equations that drive the flow analysis have been converted into nondimensional form and solved by assuming a high wavelength and a low Reynolds number approximation. The outputs for hemodynamic velocity, stress on the walls, and temperature for the flow are obtained exactly. Graphic representations of the effects of relevant physical parameters on the computational results are discussed in detail. Additionally, it is found that the viscous dissipation effects are the primary cause of heat production, rather than molecular conduction.
{"title":"Electro‐osmotically engendered biofluid investigation through complex curvy passage","authors":"S. Ijaz, Sobia Bibi, Iqra Shahzadi","doi":"10.1002/zamm.202301009","DOIUrl":"https://doi.org/10.1002/zamm.202301009","url":null,"abstract":"This study investigates the physical characteristics of a two‐dimensional Jeffery fluid by incorporating the electroosmosis effect and employing slip boundary conditions along wavy walls. The equations that drive the flow analysis have been converted into nondimensional form and solved by assuming a high wavelength and a low Reynolds number approximation. The outputs for hemodynamic velocity, stress on the walls, and temperature for the flow are obtained exactly. Graphic representations of the effects of relevant physical parameters on the computational results are discussed in detail. Additionally, it is found that the viscous dissipation effects are the primary cause of heat production, rather than molecular conduction.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":"114 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141377783","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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