Journal of Engineering Mathematics最新文献_第4页

Brattkus–Davis modes in the solution to the linear stability of plane stagnation-point flow 平面停滞点流动线性稳定性解中的布拉特库斯-戴维斯模式

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-05-17 DOI: 10.1007/s10665-024-10365-z

Isom Herron

引用次数: 0

Correction: Solution of linear and nonlinear singular value problems using operational matrix of integration of Fibonacci wavelets 更正：利用费波纳奇小波积分运算矩阵解决线性和非线性奇异值问题

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-05-16 DOI: 10.1007/s10665-024-10366-y

Vivek, Manoj Kumar

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Nurbs-based Timoshenko formulation of a geometrically nonlinear planar beam 基于 Nurbs 的几何非线性平面梁 Timoshenko 公式

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-05-15 DOI: 10.1007/s10665-024-10362-2

Sahnoun Abdelfettah

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Evolution of acceleration waves in non-ideal relaxing gas subjected to the transverse magnetic field 横向磁场作用下非理想弛豫气体中加速波的演变

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-05-02 DOI: 10.1007/s10665-024-10345-3

G. Nath, V. S. Kadam

{"title":"Evolution of acceleration waves in non-ideal relaxing gas subjected to the transverse magnetic field","authors":"G. Nath, V. S. Kadam","doi":"10.1007/s10665-024-10345-3","DOIUrl":"https://doi.org/10.1007/s10665-024-10345-3","url":null,"abstract":"Using the characteristics of the governing quasi-linear system as the referencing coordinate system in the presence of a transverse magnetic field, the evolution of acceleration waves in a non-ideal relaxing gas has been examined along its characteristic path. It is demonstrated that a linear solution in the characteristic plane can behave non-linearly in the physical plane. We have determined the critical amplitude of the initial disturbance; if the initial amplitude of the compressive disturbance is greater than the critical value, the disturbance must culminate into a shock wave, while if it is less than this value, the disturbance will decay, and no shock formation will happen. We establish the criteria for shock generation and the transport equation that governs the development of weak shock waves. Acceleration waves having planar and cylindrical symmetry are analyzed as their steepening, or flattening is investigated as a function of the non-idealness parameter, relaxation parameter, adiabatic index, and magnetic field strength parameter. In both the planar and cylindrical symmetries, the shock formation process is slowed by increasing the relaxation parameter as well as the magnetic field parameter but accelerated by non-idealness and the adiabatic index. In the ideal gas case with adiabatic exponent (gamma = 2), the magnetic field has no effect on the steepening or flattening of the wavefront in both the planar and cylindrical symmetries.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pulsed heating of the self-actuated cantilever: a one-dimensional exact solution investigation of non-axial temperature gradients 自驱动悬臂的脉冲加热：非轴向温度梯度的一维精确解法研究

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-30 DOI: 10.1007/s10665-024-10359-x

Sid Becker, Stefanie Gutschmidt, Bradley Boyd, Dan Zhao

{"title":"Pulsed heating of the self-actuated cantilever: a one-dimensional exact solution investigation of non-axial temperature gradients","authors":"Sid Becker, Stefanie Gutschmidt, Bradley Boyd, Dan Zhao","doi":"10.1007/s10665-024-10359-x","DOIUrl":"https://doi.org/10.1007/s10665-024-10359-x","url":null,"abstract":"Self-actuated bimorph cantilevers are implemented in a variety of micro-electro-mechanical systems. Their tip deflection relies on the unmatched coefficients of thermal expansion between layers. The thermal bimorph phenomenon is dependent on the temperature rise within the cantilever and, while previous studies have investigated variations in the thermal profile along the cantilever length, these have usually neglected variations in the thermal profile along the cantilever thickness. The current study investigates the thermal distribution across the thickness of the cantilever. The exact closed form solution to the one-dimensional problem of heat conduction in the composite (layered) domain subjected to transient volumetric heating is developed using the appropriate Green’s function. This solution is applied to a one-dimensional case study of a 3-layer cantilever with an Aluminium heater, a silicon dioxide resistive layer, and a silicon base layer. The aluminium heater experiences volumetric heating at a rate of 0.2 mW/μm3 of 5 μs duration at 100 μs intervals (10 kHz with a 1/20 duty cycle). Benchmark solutions of the temperature at select times and positions are provided. It is shown that there are negligible temperature gradients across the cantilever thickness during the heating and the first ~ 5 μs afterward. These short-lived temperature differences are positively biased with the unmatched thermal expansion coefficients between the layers, though their relative influence on bending is not clear. A simple parametric analysis indicates that the relative magnitude of the temperature differences across the cantilever (compared to the overall temperature) decreases substantially with increasing duty cycle.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140831700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Transient sloshing in a prolate spheroidal container under aerospace excitations 在航空航天激励下的正圆球形容器中的瞬态荡波

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-25 DOI: 10.1007/s10665-023-10316-0

M. M. Mohammadi, Hojat Taei, Hamid Moosazadeh, Mohammad Sadeghi

引用次数: 0

Correction: An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes 更正：通用网格上异质和各向异性扩散问题的增强通量连续性三维有限元方法

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-20 DOI: 10.1007/s10665-024-10363-1

Ong Thanh Hai, Thi Hoai Thuong Nguyen, Anh Ha Le, Vuong Nguyen Van Do

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Droplet impact onto a porous substrate: a Wagner theory for early-stage spreading 液滴撞击多孔基质：瓦格纳早期扩散理论

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-17 DOI: 10.1007/s10665-024-10352-4

Gavin Moreton, Richard Purvis, Mark J. Cooker

引用次数: 0

Interfacial phase-change and geometry modify nanoscale pattern formation in irradiated thin films 界面相变和几何形状改变了辐照薄膜中纳米级图案的形成

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-17 DOI: 10.1007/s10665-024-10361-3

Tyler P. Evans, Scott A. Norris

{"title":"Interfacial phase-change and geometry modify nanoscale pattern formation in irradiated thin films","authors":"Tyler P. Evans, Scott A. Norris","doi":"10.1007/s10665-024-10361-3","DOIUrl":"https://doi.org/10.1007/s10665-024-10361-3","url":null,"abstract":"In this paper, we consider the linear stability of ion-irradiated thin films where the typical no-penetration boundary condition has been relaxed to a phase-change or mass conservation boundary condition. This results in the modification of the bulk velocity field by the density jump across the amorphous–crystalline interface as new material enters the film and instantaneously changes volume. In other physical systems, phase change at a moving boundary is known to affect linear stability, but such an effect has not yet been considered in the context of continuum models of ion-induced nanopatterning. We also determine simple closed-form expressions for the amorphous–crystalline interface in terms of the free interface, appealing directly to the physics of the collision cascade, which was recently shown to strongly modify the critical angle at which pattern formation is predicted to begin on an irradiated target. We find that phase-change at the amorphous–crystalline boundary imparts a strong ion, target, and energy dependence and, alongside a precise description of the interfacial geometry, may contribute to a unified, predictive, and continuum-type model of ion-induced nanopatterning valid across a wide range of systems. In particular, we consider argon-irradiated silicon, where the presence of phase-change at the amorphous–crystalline interface appears to predict an experimentally observed, strong suppression of pattern formation near 1.5 keV for that system.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140616455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal control of higher-order Hilfer fractional non-instantaneous impulsive stochastic integro-differential systems 高阶 Hilfer 分式非瞬时脉冲随机积分微分系统的优化控制

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-04-17 DOI: 10.1007/s10665-024-10358-y

T. Sathiyaraj, P. Balasubramaniam, Hao Chen, Seng Huat Ong

引用次数: 0