ZAMM - Journal of Applied Mathematics and Mechanics最新文献_第9页

MHD Casson ternary hybrid nanofluid flow through a vertical porous plate with thermal radiation: A finite difference approach 流经垂直多孔板并伴有热辐射的 MHD Casson 三元混合纳米流体：有限差分法

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-25 DOI: 10.1002/zamm.202300571

K. Sakkaravarthi, I. Sakthi, P. Bala Anki Reddy

{"title":"MHD Casson ternary hybrid nanofluid flow through a vertical porous plate with thermal radiation: A finite difference approach","authors":"K. Sakkaravarthi, I. Sakthi, P. Bala Anki Reddy","doi":"10.1002/zamm.202300571","DOIUrl":"https://doi.org/10.1002/zamm.202300571","url":null,"abstract":"This entire study aims to investigate the impacts of linear thermal radiation and MHD Casson ternary hybrid nanofluid flows over a vertical porous plate for comparison of nanofluid, hybrid, and tri‐hybrid nanofluids with Newtonian and non‐Newtonian fluids. We used a ternary hybrid nanofluid, Blood contains three types of oxides and metals: spherical ferric oxide (Fe3O4), platelet‐shaped zinc (Zn), and cylindrically‐shaped gold (Au) nanoparticles. The coupled nonlinear dual partial differential equations (PDEs) are turned into PDEs using nondimensional quantities. The Finite Difference Method (FDM) and the Perturbation Method are then used to solve the PDEs. The impacts of different parameters on temperature, velocity, Nusselt number, and Skin friction profiles have been discussed. The increase in viscosity occurs because an increase in Gr also causes an increase in the velocity field for nanofluid, hybrid, and tri‐hybrid nanofluids. A tri‐hybrid nanofluids performs better among the three, such as nanofluid, hybrids and tri‐hybrid nanofluids. As the volume fractions (Fe3O4) increase, the temperature increase for both Newtonian and non‐Newtonian fluids. The increase in temperature is due to the thermal conductivity of nanoparticles, which is enhanced by growth estimates of the nanoparticle volume fraction. The high temperature of the fluid is observed for large estimates of nanoparticle volume fraction. An increase gold (Au) also increases the temperature for shapes (cylinder, platelet, and spherical). A spherical shape performs better among the three, such as cylinder, platelet, and spherical. In this model, biomedical applications such as antiviral and therapeutic, treatment of the COVID‐19 virus, cancer treatment, and anticancer medication delivery systems.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153027","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}

引用次数: 0

Spherical partial differential equation with non‐constant coefficients for modeling of nonlinear unsteady heat conduction in functionally graded materials 用于功能分级材料非线性非稳态热传导建模的非恒定系数球面偏微分方程

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-25 DOI: 10.1002/zamm.202300725

Amin Amiri Delouei, Amin Emamian, Saeed Ghorbani, Fuli He

{"title":"Spherical partial differential equation with non‐constant coefficients for modeling of nonlinear unsteady heat conduction in functionally graded materials","authors":"Amin Amiri Delouei, Amin Emamian, Saeed Ghorbani, Fuli He","doi":"10.1002/zamm.202300725","DOIUrl":"https://doi.org/10.1002/zamm.202300725","url":null,"abstract":"The objective of this research paper is to propose an exact solution for resolving the transient conduction in a 2D sphere. The coefficients of governing equation are varied according to the material properties. The thermo‐physical properties are regarded as functions that follow a power‐law relationship concerning the radial direction. Both radial and angular thermal conductivity coefficients change with radius. Thermal boundary conditions are considered in a general state, which can cover different thermal conditions, including Dirichlet, Neumann, and Convection surface conditions. Laplace transform and Meromorphic function methods are used in the solution approach to the current unsteady problem. Two unsteady case studies with complex boundary conditions have been considered to show the credibility of the current solution. The results of both case studies have been successfully validated. The results confirm the high capability of the present solution in solving unsteady thermal problems of functionally graded materials in spherical coordinates.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153059","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}

引用次数: 0

Issue Information: ZAMM 5/2024 发行信息：ZAMM 5/2024

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-09 DOI: 10.1002/zamm.202402004

引用次数: 0

An investigation on the torsional vibration of a FG strain gradient nanotube 对 FG 应变梯度纳米管扭转振动的研究

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-02 DOI: 10.1002/zamm.202301093

Büşra Uzun, Mustafa Özgür Yaylı, Ömer Civalek

{"title":"An investigation on the torsional vibration of a FG strain gradient nanotube","authors":"Büşra Uzun, Mustafa Özgür Yaylı, Ömer Civalek","doi":"10.1002/zamm.202301093","DOIUrl":"https://doi.org/10.1002/zamm.202301093","url":null,"abstract":"In this work, an attention is paid to the prediction of torsional vibration frequencies of functionally graded porous nanotubes based on the Lam strain gradient elasticity theory. The nanotubes are formed of functionally graded porous nanomaterials that vary in the radial direction. This study also aims to obtain the analytical solution of the strain gradient model presented by Lam for torsional vibration response, in a simple manner, for different rigid or restrained boundary conditions. The torsion angle of a functionally graded nanotube is defined by an infinite Fourier series. Then, the Stokes’ transformation is applied to force the boundary conditions to the desired state. An eigenvalue problem is established with the help of the two systems of equations obtained. This eigenvalue problem, which includes deformable springs at both ends of the nanotube, appears as a general analytical solution that can find torsional vibration frequencies. It is shown that the vibrational responses can be significantly influenced by the through‐radius gradings of material, material length scale parameters and deformable springs of the functionally graded nanotubes and consequently can be predicted by giving proper values to torsional spring parameters.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"169 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140835173","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}

引用次数: 0

On the dynamic Coulomb's frictional contact problem for thermo‐piezoelectric materials 论热压电材料的动态库仑摩擦接触问题

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-01 DOI: 10.1002/zamm.202300891

Mohammed Alaoui, EL‐Hassan Essoufi, Abdelhafid Ouaanabi, Mustapha Bouallala

引用次数: 0

Construction and investigation of differential hierarchical models for the Newtonian fluids 牛顿流体微分层次模型的构建与研究

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-05-01 DOI: 10.1002/zamm.202300251

George Jaiani

引用次数: 0

On a lack of stability of parametrized BV solutions to rate‐independent systems with nonconvex energies and discontinuous loads 关于具有非凸能量和不连续负载的速率无关系统的参数化 BV 解缺乏稳定性的问题

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-04-26 DOI: 10.1002/zamm.202300654

Merlin Andreia, Christian Meyer

引用次数: 0

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme 使用无条件稳定的二阶方案对铁流体力学流动进行数值模拟

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-04-19 DOI: 10.1002/zamm.202400025

Aytura Keram, Pengzhan Huang

引用次数: 0

Polynomial stability for Lord–Shulman porous elasticity with microtemperature and strong time delay 具有微温和强时间延迟的 Lord-Shulman 多孔弹性的多项式稳定性

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-04-19 DOI: 10.1002/zamm.202300323

Anderson J. A. Ramos, Anderson L. A. Araujo, Mirelson M. Freitas, Manoel J. Dos Santos, Alberto S. Noé

引用次数: 0

Analytical analysis of water and engine oil base nanofluid flow with the influence of viscous dissipation and variable viscosity on stretching surface 拉伸表面粘性耗散和可变粘性影响下的水和发动机油基纳米流体流动分析

ZAMM - Journal of Applied Mathematics and Mechanics Pub Date : 2024-04-11 DOI: 10.1002/zamm.202300773

Ali Rehman, Ma Chau Khun, Mustafa Inc, Lakhdar Ragoub, Shahram Rezapour, Taseer Muhammad

{"title":"Analytical analysis of water and engine oil base nanofluid flow with the influence of viscous dissipation and variable viscosity on stretching surface","authors":"Ali Rehman, Ma Chau Khun, Mustafa Inc, Lakhdar Ragoub, Shahram Rezapour, Taseer Muhammad","doi":"10.1002/zamm.202300773","DOIUrl":"https://doi.org/10.1002/zamm.202300773","url":null,"abstract":"In this study, we will look at the analytical characterization of water and motor oil‐based nanofluid flow and the effects of viscous dissipation and variable viscosity on stretching surfaces. The primary goal of this research is to improve heat transfer efficiency in a range of systems, including cooling applications, refrigeration systems, and heat exchangers. The addition of nanoparticles to the base fluid increases its thermal conductivity, which boosts heat transfer rates. The flow system considers the impact of viscous dissipation. In addition, this methodology accounts for temperature and velocity slips during stretching. We utilized the proper transformations to convert a set of PDEs to NLODEs. To solve this system of equations, we use hybrid nanofluid. The impact of different parameters obtained from temperature and velocity equations involving the porosity parameter, power law number, ratio velocity, dynamic viscosity, Forchheimer parameter, and Eckert number input factors are shown in the form of graphs.","PeriodicalId":501230,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140602321","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}

引用次数: 0