The catenary is a curve that has played a significant role in the history of mathematics, finding applications in various disciplines such as mechanics, technology, architecture, the arts, and biology. In this paper, we introduce some generalizations by applying the variational method to deformable strings. We explore two specific cases: (i) in the first case, we investigate the nonlinear behavior of an elastic string with variable length, dependent on the applied boundary conditions; specifically, this analysis serves to introduce the variational method and demonstrate the process of finding analytical solutions; (ii) in the second case, we examine a deformable string with a constant length; however, we introduce mass redistribution within the string through nonlinear elastic interactions. In the first scenario, the deformation state of the string always describes elongation, as compression states prove to be unstable for fully flexible strings. In contrast, in the second scenario, the finite length constraint induces compressive states in specific configurations and regions of the string. However, it is worth noting that the solution to this problem exists only for values of the elastic constant that are not too low, a phenomenon that is studied in detail. We conduct here both analytical and graphical analyses of various geometries, comparing the elastic behavior of the two aforementioned types of strings. Understanding the elastic behavior of deformable strings, especially the second type involving mass redistribution, is crucial for enhancing comprehension in the study of biological filaments or fibers and soft matter. For instance, these investigations can contribute to understanding the mechanisms employed by cells to sense gravity or other mechanical conditions.
{"title":"Variational approaches to the elasticity of deformable strings with and without mass redistribution","authors":"Stefano Giordano","doi":"10.1002/zamm.202400057","DOIUrl":"https://doi.org/10.1002/zamm.202400057","url":null,"abstract":"The catenary is a curve that has played a significant role in the history of mathematics, finding applications in various disciplines such as mechanics, technology, architecture, the arts, and biology. In this paper, we introduce some generalizations by applying the variational method to deformable strings. We explore two specific cases: (i) in the first case, we investigate the nonlinear behavior of an elastic string with variable length, dependent on the applied boundary conditions; specifically, this analysis serves to introduce the variational method and demonstrate the process of finding analytical solutions; (ii) in the second case, we examine a deformable string with a constant length; however, we introduce mass redistribution within the string through nonlinear elastic interactions. In the first scenario, the deformation state of the string always describes elongation, as compression states prove to be unstable for fully flexible strings. In contrast, in the second scenario, the finite length constraint induces compressive states in specific configurations and regions of the string. However, it is worth noting that the solution to this problem exists only for values of the elastic constant that are not too low, a phenomenon that is studied in detail. We conduct here both analytical and graphical analyses of various geometries, comparing the elastic behavior of the two aforementioned types of strings. Understanding the elastic behavior of deformable strings, especially the second type involving mass redistribution, is crucial for enhancing comprehension in the study of biological filaments or fibers and soft matter. For instance, these investigations can contribute to understanding the mechanisms employed by cells to sense gravity or other mechanical conditions.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"167 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519649","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}
Judith Marie Undine Siebert, Martin Wolf, Stefan Odenbach
This paper compares a classic digital image processing approach to trace particles in laboratory x‐ray micro‐computed tomography (µCT), which is based on a combination of random sample consensus (RANSAC) algorithm and least squares ellipse fitting (LSF), with an approach based on artificial neural networks (ANNs). In order to be able to perform the comparison, dynamic experiments were carried out in a laboratory microtomography facility. During active scans with a duration of 30–75 s several sedimentation experiments have been carried out with an exposure time of 0.13 s/projection. Through the movement of the particles during the scan curved motion artefacts in the reconstructed data occur, where the vertex marks the coordinate of the particle. It could be shown that both approaches enable the tracing of particles in laboratory x‐ray µCT with deviations from a manually evaluated result of exemplarily 1.25% for the conventional digital image processing (CDIP) and 0.48% for the ANN. It was found that ANNs are able to identify particle positions in non‐symmetrical motion artefacts, appearing around the first and last position of the particles in the scan, allowing an extension of the motion range of the particles that can be evaluated. Both methods have their advantages and disadvantages. Due to the high complexity and size as well as partly black box structures of neural networks, they are not 100% comprehensible whereas conventional image processing is 100% transparent and understandable. But because of the complexity of the tracing of particles, the CDIP code offers many parameters that can be set, which is why the application is therefore slightly more complex.
本文比较了在实验室 X 射线显微计算机断层扫描（µCT）中追踪粒子的经典数字图像处理方法（基于随机样本共识（RANSAC）算法和最小二乘椭圆拟合（LSF）的组合）和基于人工神经网络（ANN）的方法。为了进行比较，我们在实验室的微断层扫描设备上进行了动态实验。在持续时间为 30-75 秒的主动扫描过程中，以 0.13 秒/投影的曝光时间进行了多次沉积实验。在扫描过程中，由于颗粒的运动，重建数据中出现了曲线运动伪影，顶点标志着颗粒的坐标。结果表明，这两种方法都能对实验室 X 射线 µCT 中的颗粒进行追踪，传统数字图像处理（CDIP）与人工评估结果的偏差仅为 1.25%，而 ANN 的偏差仅为 0.48%。研究发现，ANN 能够识别非对称运动伪影中的颗粒位置，这些伪影出现在扫描中颗粒的第一个和最后一个位置周围，从而扩大了可评估的颗粒运动范围。这两种方法各有利弊。由于神经网络的高度复杂性和规模以及部分黑箱结构，它们并不是百分之百可理解的，而传统的图像处理则是百分之百透明和可理解的。但是，由于粒子追踪的复杂性，CDIP 代码提供了许多可设置的参数，这也是应用稍微复杂一些的原因。
{"title":"Comparison of a conventional image processing approach with an artificial neural network approach to three‐dimensionally trace multiple particles in dynamic x‐ray microtomography experiments under laboratory conditions","authors":"Judith Marie Undine Siebert, Martin Wolf, Stefan Odenbach","doi":"10.1002/zamm.202400505","DOIUrl":"https://doi.org/10.1002/zamm.202400505","url":null,"abstract":"This paper compares a classic digital image processing approach to trace particles in laboratory x‐ray micro‐computed tomography (µCT), which is based on a combination of random sample consensus (RANSAC) algorithm and least squares ellipse fitting (LSF), with an approach based on artificial neural networks (ANNs). In order to be able to perform the comparison, dynamic experiments were carried out in a laboratory microtomography facility. During active scans with a duration of 30–75 s several sedimentation experiments have been carried out with an exposure time of 0.13 s/projection. Through the movement of the particles during the scan curved motion artefacts in the reconstructed data occur, where the vertex marks the coordinate of the particle. It could be shown that both approaches enable the tracing of particles in laboratory x‐ray µCT with deviations from a manually evaluated result of exemplarily 1.25% for the conventional digital image processing (CDIP) and 0.48% for the ANN. It was found that ANNs are able to identify particle positions in non‐symmetrical motion artefacts, appearing around the first and last position of the particles in the scan, allowing an extension of the motion range of the particles that can be evaluated. Both methods have their advantages and disadvantages. Due to the high complexity and size as well as partly black box structures of neural networks, they are not 100% comprehensible whereas conventional image processing is 100% transparent and understandable. But because of the complexity of the tracing of particles, the CDIP code offers many parameters that can be set, which is why the application is therefore slightly more complex.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505685","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}
Hybrid nanofluids, which have a higher effective thermal conductivity than both regular fluids and nanofluid, are essential in industrial, biomedical, and engineering applications. Blood flow via an artery is a useful application for the investigation of hybrid nanofluids (Cu and Al2O3). Graphs have been used to discuss the effects of flow elements on velocity, temperature, and concentrations where values have been tabulated. A hybrid combination made up of copper and aluminum oxide with volume percentages in the range of 0.01–0.2. The Dufour effect was lessened, the volume proportion of copper was reduced, and the heat transmission rate was successfully increased. Maximum rates of heat, mass, and skin friction transmission would result from stronger mixed convection. This significant initial study will provide engineers and scientists the knowledge on effective management of fluid flow while optimizing the connected complex systems. Before being written and solved with the help of Maple software, the flow control equations were simplified. Figures present the main findings of the study, including the influence of several physical parameters. The effects of physical factors on the flow distributions are illustrated in tables and figures. Water is employed as the basic fluid, and a combination of copper and alumina nanoparticle is used as the study material to investigate the heat and mass phenomena brought by the Dufour and Soret effect. Surface thermal efficiency is influenced by the Soret factor, whereas surface mass transfer is constrained by the Dufour effect.
混合纳米流体具有比普通流体和纳米流体更高的有效导热性，在工业、生物医学和工程应用中至关重要。动脉血流是研究混合纳米流体（Cu 和 Al2O3）的有效应用。图表用于讨论流动元素对速度、温度和浓度的影响，其中的数值已列表。混合纳米流体由铜和氧化铝组成，体积百分比在 0.01-0.2 之间。杜富尔效应减弱，铜的体积比例降低，热传导率成功提高。热量、质量和表皮摩擦的最大传输率将来自于更强的混合对流。这项意义重大的初步研究将为工程师和科学家提供有效管理流体流动的知识，同时优化相互连接的复杂系统。在使用 Maple 软件编写和求解流体控制方程之前，对方程进行了简化。图中展示了研究的主要结果，包括几个物理参数的影响。表和图说明了物理因素对流量分布的影响。以水为基本流体，以铜和氧化铝纳米粒子组合为研究材料，研究杜富尔效应和索雷特效应带来的热量和质量现象。表面热效率受到索雷特因子的影响，而表面传质则受到杜富尔效应的制约。
{"title":"Effects of Al2O3‐Cu‐H2O hybrid nanofluid with Soret and Dufour on mixed convection flow over a curved surface","authors":"Roopa Kenchogonahalli Ramu, Dinesh Pobbathy Aswathanarayana Setty, Govindaraju Magge Venkatachala Iyengar, Sweeti Yadav, Mohandas Karki Narayan","doi":"10.1002/zamm.202300663","DOIUrl":"https://doi.org/10.1002/zamm.202300663","url":null,"abstract":"Hybrid nanofluids, which have a higher effective thermal conductivity than both regular fluids and nanofluid, are essential in industrial, biomedical, and engineering applications. Blood flow via an artery is a useful application for the investigation of hybrid nanofluids (Cu and Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub>). Graphs have been used to discuss the effects of flow elements on velocity, temperature, and concentrations where values have been tabulated. A hybrid combination made up of copper and aluminum oxide with volume percentages in the range of 0.01–0.2. The Dufour effect was lessened, the volume proportion of copper was reduced, and the heat transmission rate was successfully increased. Maximum rates of heat, mass, and skin friction transmission would result from stronger mixed convection. This significant initial study will provide engineers and scientists the knowledge on effective management of fluid flow while optimizing the connected complex systems. Before being written and solved with the help of Maple software, the flow control equations were simplified. Figures present the main findings of the study, including the influence of several physical parameters. The effects of physical factors on the flow distributions are illustrated in tables and figures. Water is employed as the basic fluid, and a combination of copper and alumina nanoparticle is used as the study material to investigate the heat and mass phenomena brought by the Dufour and Soret effect. Surface thermal efficiency is influenced by the Soret factor, whereas surface mass transfer is constrained by the Dufour effect.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505753","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 aims to compare the dual solutions of the problem describing the magnetized motion of a Newtonian and second‐grade fluid induced by a curved stretching/shrinking surface using the associations of homogeneous–heterogeneous reaction and Cattaneo–Christov model. The model is further developed using the properties of convective heat transfer, suction velocity, Joule heating, heat source/sink, and viscous dissipation with the porous medium. The relevant transformations are applied to the governing partial differential equations (PDEs) resulting in the system of nonlinear ordinary differential equations (ODEs). The solution technique makes use of the computational scheme in MATLAB known as the bvp4c technique. All relevant findings are obtained using a wide range of dimensionless parameters. The Cattaneo–Christov model and the second‐grade fluid transmits heat faster than the classical Fourier law and Newtonian fluid as well as the heat transfer rate of both fluids was found to drop as the values of Eckert number and curvature parameter enhances. Moreover, the Newtonian fluid has lower friction drag than the second‐grade fluid and the concentration of the bulk fluid is declined by the rising values of hetrogeneous and homogeneous reaction parameter. With potential applications in a variety of engineering fields, including thermal management systems and nanofluid‐based technologies, this work is significant for understanding MHD flow of second‐grade nanofluids over curved surfaces, incorporating heterogeneous reactions and the Cattaneo–Christov model. The results also aid in improving heat transfer efficiency and understanding of fluid behavior under various parameter situations, providing information for improving industrial processes and advanced materials engineering design considerations.
{"title":"The magnetized flow of Newtonian/non‐Newtonian fluid across a curved surface with reaction kinetics and non‐Fourier heat transfer","authors":"Muhammad Riaz Khan, Shipeng Mao","doi":"10.1002/zamm.202300642","DOIUrl":"https://doi.org/10.1002/zamm.202300642","url":null,"abstract":"This study aims to compare the dual solutions of the problem describing the magnetized motion of a Newtonian and second‐grade fluid induced by a curved stretching/shrinking surface using the associations of homogeneous–heterogeneous reaction and Cattaneo–Christov model. The model is further developed using the properties of convective heat transfer, suction velocity, Joule heating, heat source/sink, and viscous dissipation with the porous medium. The relevant transformations are applied to the governing partial differential equations (PDEs) resulting in the system of nonlinear ordinary differential equations (ODEs). The solution technique makes use of the computational scheme in MATLAB known as the bvp4c technique. All relevant findings are obtained using a wide range of dimensionless parameters. The Cattaneo–Christov model and the second‐grade fluid transmits heat faster than the classical Fourier law and Newtonian fluid as well as the heat transfer rate of both fluids was found to drop as the values of Eckert number and curvature parameter enhances. Moreover, the Newtonian fluid has lower friction drag than the second‐grade fluid and the concentration of the bulk fluid is declined by the rising values of hetrogeneous and homogeneous reaction parameter. With potential applications in a variety of engineering fields, including thermal management systems and nanofluid‐based technologies, this work is significant for understanding MHD flow of second‐grade nanofluids over curved surfaces, incorporating heterogeneous reactions and the Cattaneo–Christov model. The results also aid in improving heat transfer efficiency and understanding of fluid behavior under various parameter situations, providing information for improving industrial processes and advanced materials engineering design considerations.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505622","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}
Lioua Kolsi, Sami Ullah Khan, Kamel Al‐Khaled, Faiza Benabdallah, Kaouther Ghachem, Hind Albalawi
Owing to enhanced performance, the hybrid nanofluids are finding increasingly varied applications in areas such as energy systems, extrusion operations, industrial activities, and chemical processes. The aim of current model is to explore thermal behavior of Casson hybrid nanofluid flow when subjected to a magnetic force. Two types of carbon nanotubes, the single‐walled carbon nanotubes (SWCNTs) and multiwalled carbon nanotubes (MWCNTs), dispersed in blood were investigated. The study addressed the problem based on time‐dependent thermal conductivity and considering an external heat source. It is important to understand how heat transfer occurs in nanofluids with variable thermal conductivity because it is a significant feature in many thermodynamic systems where nanofluids play important roles. To formulate the set of dimensionless governing equations, similarity variables are employed. The numerical shooting method, known for its high precision, is applied to solve these equations. The accuracy of the solutions is verified by comparison with results from previous studies, and the impact of various parameters is examined. It is noticed that velocity profile declined due to unsteady parameter for both types of CNTs (SWCNTs‐MWCNTs). An increase in the nanoparticles' volume fraction results in elevated temperatures.
{"title":"Thermal and flow dynamics of blood‐based Casson hybrid nanofluid under transient conditions","authors":"Lioua Kolsi, Sami Ullah Khan, Kamel Al‐Khaled, Faiza Benabdallah, Kaouther Ghachem, Hind Albalawi","doi":"10.1002/zamm.202400194","DOIUrl":"https://doi.org/10.1002/zamm.202400194","url":null,"abstract":"Owing to enhanced performance, the hybrid nanofluids are finding increasingly varied applications in areas such as energy systems, extrusion operations, industrial activities, and chemical processes. The aim of current model is to explore thermal behavior of Casson hybrid nanofluid flow when subjected to a magnetic force. Two types of carbon nanotubes, the single‐walled carbon nanotubes (SWCNTs) and multiwalled carbon nanotubes (MWCNTs), dispersed in blood were investigated. The study addressed the problem based on time‐dependent thermal conductivity and considering an external heat source. It is important to understand how heat transfer occurs in nanofluids with variable thermal conductivity because it is a significant feature in many thermodynamic systems where nanofluids play important roles. To formulate the set of dimensionless governing equations, similarity variables are employed. The numerical shooting method, known for its high precision, is applied to solve these equations. The accuracy of the solutions is verified by comparison with results from previous studies, and the impact of various parameters is examined. It is noticed that velocity profile declined due to unsteady parameter for both types of CNTs (SWCNTs‐MWCNTs). An increase in the nanoparticles' volume fraction results in elevated temperatures.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505755","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. Felicita, P. Venkatesh, B. J. Gireesha, Pradeep Kumar, B. Nagaraja
Modified starch, derivatives of cellulose and sodium alginate are shear thinning fluids which can be analyzed using hyperbolic tangent model as these fluids can be used as natural thickeners in the ink. Thus, the present article's intent is to study the flow conduct of hyperbolic tangent nanofluid in microchannel situated horizontally. The impact of viscous dissipation and magnetic field is recorded. The suction‐ injection is promoted at the walls of the microchannel. Two imperative slip mechanisms like Brownian motion and thermophoresis are accounted for the study. Entropy scrutiny is carried out for system effectiveness. To simplify the non‐linear equations certain non‐dimensional variables are used. The obtained mathematical formulations are solved using an efficient problem‐solving operation namely Runge–Kutta–Fehlberg 4–5th order method. The parameters attained are studied using graphical illustrations. The findings of this article comprehend that on enlarging Weissenberg number, flow field declines at the bottom wall and levitates at the top wall and the material power law parameter magnifies the velocity distribution. Entropy generated is maximum at top wall and minimum at the bottom wall for the Brownian motion parameter but the reverse manner is attained for thermophoresis parameter. Incorporating porous media to the microchannel for the flow of shear thinning fluid is useful in cell engineering, spotting particles and filtering.
{"title":"Entropy scrutinization of magnetized‐hyperbolic tangent nanofluid in the microchannel stuffed by porous media","authors":"A. Felicita, P. Venkatesh, B. J. Gireesha, Pradeep Kumar, B. Nagaraja","doi":"10.1002/zamm.202300444","DOIUrl":"https://doi.org/10.1002/zamm.202300444","url":null,"abstract":"Modified starch, derivatives of cellulose and sodium alginate are shear thinning fluids which can be analyzed using hyperbolic tangent model as these fluids can be used as natural thickeners in the ink. Thus, the present article's intent is to study the flow conduct of hyperbolic tangent nanofluid in microchannel situated horizontally. The impact of viscous dissipation and magnetic field is recorded. The suction‐ injection is promoted at the walls of the microchannel. Two imperative slip mechanisms like Brownian motion and thermophoresis are accounted for the study. Entropy scrutiny is carried out for system effectiveness. To simplify the non‐linear equations certain non‐dimensional variables are used. The obtained mathematical formulations are solved using an efficient problem‐solving operation namely Runge–Kutta–Fehlberg 4–5th order method. The parameters attained are studied using graphical illustrations. The findings of this article comprehend that on enlarging Weissenberg number, flow field declines at the bottom wall and levitates at the top wall and the material power law parameter magnifies the velocity distribution. Entropy generated is maximum at top wall and minimum at the bottom wall for the Brownian motion parameter but the reverse manner is attained for thermophoresis parameter. Incorporating porous media to the microchannel for the flow of shear thinning fluid is useful in cell engineering, spotting particles and filtering.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141195676","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}
Gosikere Kenchappa Ramesh, Pradeep N. Hiremath, Javali Kotresh Madhukesh, Sabir Ali Shehzad
The electromagnetohydrodynamic (EMHD) has a vital role due to its importance in aerospace and plasma physics, including energy transformation systems in which interaction between the liquid and magnetic field is crucial. Further, micropolar fluids with microstructural slip is used in the lubrication and liquid crystals. From this observation, the current study is conducted to express an EMHD flow of liquid on a microstructural slipped surface. The effects of a uniform heat source/sink (HS/S) with homogeneous and heterogeneous chemical reactions have been incorporated in energy and mass profiles. The governing equations are converted to ordinary differential equations using proper similarity variables. The converted equations are computed by the implementation of Runge–Kutta–Fehlberg (RKF) 4th 5th order with shooting technique. A list of the essential dimensionless constraints and graphs showing how they are affected are provided. The outcome of the problem shows that the electric parameter will improve the velocity but decline the microrotation profile. Further, both heterogeneous and homogeneous reactions have a decreasing concentration. While the heat distribution rate increases with greater magnetic and electric fields, the surface drag force decreases.
{"title":"EMHD micropolar fluid flowing through a micro‐structural slipped surface with heat source/sink and chemical reaction","authors":"Gosikere Kenchappa Ramesh, Pradeep N. Hiremath, Javali Kotresh Madhukesh, Sabir Ali Shehzad","doi":"10.1002/zamm.202300628","DOIUrl":"https://doi.org/10.1002/zamm.202300628","url":null,"abstract":"The electromagnetohydrodynamic (EMHD) has a vital role due to its importance in aerospace and plasma physics, including energy transformation systems in which interaction between the liquid and magnetic field is crucial. Further, micropolar fluids with microstructural slip is used in the lubrication and liquid crystals. From this observation, the current study is conducted to express an EMHD flow of liquid on a microstructural slipped surface. The effects of a uniform heat source/sink (HS/S) with homogeneous and heterogeneous chemical reactions have been incorporated in energy and mass profiles. The governing equations are converted to ordinary differential equations using proper similarity variables. The converted equations are computed by the implementation of Runge–Kutta–Fehlberg (RKF) 4th 5th order with shooting technique. A list of the essential dimensionless constraints and graphs showing how they are affected are provided. The outcome of the problem shows that the electric parameter will improve the velocity but decline the microrotation profile. Further, both heterogeneous and homogeneous reactions have a decreasing concentration. While the heat distribution rate increases with greater magnetic and electric fields, the surface drag force decreases.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168959","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}
Anum Tanveer, Sharak Jarral, A. Al‐Zubaidi, Salman Saleem, Neyara Radwan
A mathematical model is constructed to investigate the behavior of peristaltic flow of Jeffrey fluid in an inclined tapered asymmetric porous channel. The fluid viscosity is taken as space dependent variable quantity. Heat absorption, Soret and Dufour effects are also retained in the current scrutiny. These preferences have broad applications in engineering, biology and industry. We began our investigation by taking into account the two‐dimensional inclined asymmetric porous channel. In the context of mathematical modeling, the appropriate dimensional nonlinear equations for momentum, heat and mass transport are simplified into dimensionless equations by applying the essential estimation of long wavelength and low Reynolds number. The solution of the governing equations is executed numerically. A graphical depiction of many crucial physical characteristics on velocity, temperature, concentration, heat transfer rate, Nusselt number and Streamlines have been reported in ending section. Temperature profile exhibits an escalation with the augmentation of Brinkman number and Dufour number . For the growing values of Prandtl number , an increment in temperature profile is observed whilst a reverse tendency is captured for concentration profile. It is noted that concentration profile falls down owing to the enhancement in Soret number and Schmidt number . An oscillatory outlook is noticed for heat transfer rate and Nusselt number. The novelty of this proposed model in the research domain specifically depends on considerations of the combined study of the Variable viscosity, Darcy resistance, Viscous dissipation, Mixed convention, Heat absorption, Soret and Dufour effects in peristaltic flow of non‐ Newtonian Jeffrey fluid in an inclined Asymmetric tapered channel under the influence of convective boundary conditions.
{"title":"The varying viscosity impact in an inclined peristaltic channel with diffusion‐thermo and thermo‐diffusion","authors":"Anum Tanveer, Sharak Jarral, A. Al‐Zubaidi, Salman Saleem, Neyara Radwan","doi":"10.1002/zamm.202300794","DOIUrl":"https://doi.org/10.1002/zamm.202300794","url":null,"abstract":"A mathematical model is constructed to investigate the behavior of peristaltic flow of Jeffrey fluid in an inclined tapered asymmetric porous channel. The fluid viscosity is taken as space dependent variable quantity. Heat absorption, Soret and Dufour effects are also retained in the current scrutiny. These preferences have broad applications in engineering, biology and industry. We began our investigation by taking into account the two‐dimensional inclined asymmetric porous channel. In the context of mathematical modeling, the appropriate dimensional nonlinear equations for momentum, heat and mass transport are simplified into dimensionless equations by applying the essential estimation of long wavelength and low Reynolds number. The solution of the governing equations is executed numerically. A graphical depiction of many crucial physical characteristics on velocity, temperature, concentration, heat transfer rate, Nusselt number and Streamlines have been reported in ending section. Temperature profile exhibits an escalation with the augmentation of Brinkman number and Dufour number . For the growing values of Prandtl number , an increment in temperature profile is observed whilst a reverse tendency is captured for concentration profile. It is noted that concentration profile falls down owing to the enhancement in Soret number and Schmidt number . An oscillatory outlook is noticed for heat transfer rate and Nusselt number. The novelty of this proposed model in the research domain specifically depends on considerations of the combined study of the Variable viscosity, Darcy resistance, Viscous dissipation, Mixed convention, Heat absorption, Soret and Dufour effects in peristaltic flow of non‐ Newtonian Jeffrey fluid in an inclined Asymmetric tapered channel under the influence of convective boundary conditions.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169117","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}
We aim here to investigate a new mathematical model that describes the contact between a viscoelastic body, accounting for long memory and wear effects, and an obstacle referred to as the foundation. The contact model is governed by a normal compliance condition, coupled with Coulomb's law of dry friction for sliding, and wear effects. We derive the variational formulation of the model, which involves coupling of a quasi‐variational inequality with a nonlinear equation. By pursuing the abstract history‐dependent quasi‐variational inequalities and leveraging the fixed point theorem, we establish results concerning both existence and uniqueness.
{"title":"A doubly history‐dependent quasivariational inequality arising in viscoelastic frictional contact problems with wear","authors":"Abderrahmane Oultou, Othmane Baiz, Hicham Benaissa","doi":"10.1002/zamm.202400012","DOIUrl":"https://doi.org/10.1002/zamm.202400012","url":null,"abstract":"We aim here to investigate a new mathematical model that describes the contact between a viscoelastic body, accounting for long memory and wear effects, and an obstacle referred to as the foundation. The contact model is governed by a normal compliance condition, coupled with Coulomb's law of dry friction for sliding, and wear effects. We derive the variational formulation of the model, which involves coupling of a quasi‐variational inequality with a nonlinear equation. By pursuing the abstract history‐dependent quasi‐variational inequalities and leveraging the fixed point theorem, we establish results concerning both existence and uniqueness.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153056","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}
Rajashekhar Choudhari, Dharmendra Tripathi, Hanumesh Vaidya, Kerehalli Vinayaka Prasad, Jyoti Shetty, Fateh Mebarek‐Oudina, Sami Ullah Khan, Katta Ramesh
The study of rheological properties in biological fluids, influenced by electroosmosis and magnetohydrodynamic (MHD) peristaltic mechanisms, plays a vital role in designing micro‐scale biomimetic pumping systems for targeted drug delivery. Considering these significant applications, the current study focuses on the integrated analysis of electroosmotic and magnetohydrodynamic peristaltic pumping of Williamson fluid within physiological systems with variable viscosity and thermal conductivity. The dimensional momentum equations are linearized under the approximation of lubrication theory. The current study deals with the impact of various physical parameters on flow, heat transfer, and pumping characteristics. These parameters include the magnetic parameter, variable viscosity, variable thermal conductivity, Helmholtz‐Smoluchowski velocity, and so on. It is noted from the current analysis that, Helmholtz‐Smoluchowski velocity and velocity slip parameters have decreasing effect on skin friction and Sherwood number. The electroosmotic and magnetic parameters contribute to larger trapped bolus sizes. These findings contribute significantly to advancing the development of efficient micro‐scale biomimetic pumping systems tailored for precise target drug delivery applications.
{"title":"Integrated analysis of electroosmotic and magnetohydrodynamic peristaltic pumping in physiological systems: Implications for biomedical applications","authors":"Rajashekhar Choudhari, Dharmendra Tripathi, Hanumesh Vaidya, Kerehalli Vinayaka Prasad, Jyoti Shetty, Fateh Mebarek‐Oudina, Sami Ullah Khan, Katta Ramesh","doi":"10.1002/zamm.202400163","DOIUrl":"https://doi.org/10.1002/zamm.202400163","url":null,"abstract":"The study of rheological properties in biological fluids, influenced by electroosmosis and magnetohydrodynamic (MHD) peristaltic mechanisms, plays a vital role in designing micro‐scale biomimetic pumping systems for targeted drug delivery. Considering these significant applications, the current study focuses on the integrated analysis of electroosmotic and magnetohydrodynamic peristaltic pumping of Williamson fluid within physiological systems with variable viscosity and thermal conductivity. The dimensional momentum equations are linearized under the approximation of lubrication theory. The current study deals with the impact of various physical parameters on flow, heat transfer, and pumping characteristics. These parameters include the magnetic parameter, variable viscosity, variable thermal conductivity, Helmholtz‐Smoluchowski velocity, and so on. It is noted from the current analysis that, Helmholtz‐Smoluchowski velocity and velocity slip parameters have decreasing effect on skin friction and Sherwood number. The electroosmotic and magnetic parameters contribute to larger trapped bolus sizes. These findings contribute significantly to advancing the development of efficient micro‐scale biomimetic pumping systems tailored for precise target drug delivery applications.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153085","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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