Journal of Engineering Mathematics最新文献

On the positive self-similar solutions of the boundary-layer wedge flow problem of a power-law fluid 论幂律流体边界层楔形流问题的正自相似解

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-09-13 DOI: 10.1007/s10665-024-10394-8

Jamal El Amrani, Tarik Amtout, Mustapha Er-Riani, Aadil Lahrouz, Adel Settati

引用次数: 0

Nanoparticle uptake by a semi-permeable, spherical cell from an external planar diffusive field. II. Numerical study of temporal and spatial development validated using FEM 半渗透球形细胞从外部平面扩散场吸收纳米粒子。II.利用有限元模型验证时空发展的数值研究

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-09-13 DOI: 10.1007/s10665-024-10395-7

Sandeep Santhosh Kumar, Stanley J. Miklavcic

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Erosion of surfaces by trapped vortices 被困涡流对表面的侵蚀

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-09-13 DOI: 10.1007/s10665-024-10396-6

Courteney Hirst, N. R. McDonald

{"title":"Erosion of surfaces by trapped vortices","authors":"Courteney Hirst, N. R. McDonald","doi":"10.1007/s10665-024-10396-6","DOIUrl":"https://doi.org/10.1007/s10665-024-10396-6","url":null,"abstract":"Two two-dimensional free boundary problems describing the erosion of solid surfaces by the flow of inviscid fluid in the presence of trapped vortices are considered. The first problem tackles an initially flat, infinite fluid-solid interface with uniform flow at infinity and a vortex in equilibrium above the surface. The second involves flow around a finite body with a trailing Föppl-type vortex pair. The conformal invariance of the complex potential permits both problems to be formulated as a Polubarinova–Galin (PG) type equation in which the time-dependent eroding surface in the physical z-plane is mapped to the fixed boundary of the (zeta )-disk. The Hamiltonian governing the equilibrium position of the vortex (or vortex pair in the second problem) is also found from the same map. In each problem, the PG equation giving the conformal map is found numerically and the time-dependent evolution of the interface and vortex location is determined. Different models governing the erosion of the interface are investigated in which the normal velocity of the boundary depends on some given function of the fluid flow velocity at the boundary. Typically, in the infinite surface case, erosion leads to the formation of a symmetric valley beneath the vortex which, in turn, moves downward toward the interface. A finite body undergoes erosion which is asymmetric in the flow direction leading to a flattening of the lee surface of the body so displaying some similarity to the experiments and associated viscous theory of Ristroph et al, Moore et al (Proc Natl Acad Sci 109(48):19606–19609, 2012, Phys Fluids 25(11):116602, 2013).","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182363","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

Experimental and theoretical investigation of impinging droplet solidification at moderate impact velocities 中等冲击速度下撞击液滴凝固的实验和理论研究

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-09-04 DOI: 10.1007/s10665-024-10393-9

Ryan McGuan, Elaheh Alizadeh-Birjandi, Peiwen Yan, Stephen H. Davis, H. Pirouz Kavehpour

{"title":"Experimental and theoretical investigation of impinging droplet solidification at moderate impact velocities","authors":"Ryan McGuan, Elaheh Alizadeh-Birjandi, Peiwen Yan, Stephen H. Davis, H. Pirouz Kavehpour","doi":"10.1007/s10665-024-10393-9","DOIUrl":"https://doi.org/10.1007/s10665-024-10393-9","url":null,"abstract":"Spreading of liquid drops on cold solid substrates is a complicated problem that involves heat transfer, fluid dynamics, and phase change physics combined with complex wetting behaviors at the contact line. Understanding the physics behind the non-isothermal spreading of droplet is of utmost importance due to its broad applications in diverse areas of industry such as in additive manufacturing processes. This work mainly focuses on determining the important physical parameters involved in the non-isothermal spreading of droplets with low contact angle ((theta <pi /2)) as well as controlling the post-solidification geometry of impinging droplets with moderate impact velocity where spreading is driven by impact velocities, but fingerings or instabilities do not occur at the contact line. Using analytical modeling, a possible explanation for contact-line arrest is produced that demonstrates that the final radius of droplets of moderate impacting velocity is independent of the initial conditions including the impact dynamics and temperature gradients. The predictive capacity of this model is confirmed with experimental results.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182366","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

Utilizing an imaginative approach to examine a fractional Newell–Whitehead–Segel equation based on the Mohand HPA 利用一种富有想象力的方法来研究基于莫汉德 HPA 的分式纽厄尔-怀特海-西格尔方程

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-27 DOI: 10.1007/s10665-024-10381-z

Sajad Iqbal, Jun Wang

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Reflection and transmission of SH waves at the interface of a V-notch and a piezoelectric/piezomagnetic half-space V 形缺口和压电/压磁半空间界面上的 SH 波反射和传输

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-27 DOI: 10.1007/s10665-024-10392-w

Xi-meng Zhang, Hui Qi

{"title":"Reflection and transmission of SH waves at the interface of a V-notch and a piezoelectric/piezomagnetic half-space","authors":"Xi-meng Zhang, Hui Qi","doi":"10.1007/s10665-024-10392-w","DOIUrl":"https://doi.org/10.1007/s10665-024-10392-w","url":null,"abstract":"This paper investigates the dynamic behavior of a V-notch with non-trivial boundaries in a piezoelectric/piezomagnetic half-space. We start by considering a SH wave impinging on the piezoelectric/piezomagnetic half-space. Upon employing the superposition principle, an expression for the scattering wave is derived, which meets the required conditions at the boundary of the half-space. Subsequently, we provide the analytic expression for the standing wave, formulated to meet the stress-free assumptions and electric/magnetic insulation at the boundaries of the V-notch. This is done using an expansion in fractional Bessel functions and the Graf theorem. Finally, a method based on Green’ functions is employed to divide the half-space along the vertical interface, where in-plane electric and magnetic fields and out-of-plane forces are exerted. This leads to the formulation of integral Fredholm equations, which are solved using an expansion into orthogonal functions and an effective truncation technique. Our results describe the scattering effect on the concentration factors of the dynamic stress, and of electric and magnetic fields in relevant conditions. The analytic solutions are validated using finite element method, and results confirm the accuracy of our findings.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182367","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

Effect of magnetic field and hydrodynamic slippage on electro-osmotic Brinkman flow through patterned zeta potential microchannel 磁场和流体滑动对通过图案化泽塔电位微通道的电渗透布林克曼流的影响

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-19 DOI: 10.1007/s10665-024-10391-x

Vishal Chhabra, Chandra Shekhar Nishad, Manoj Sahni, Vineet Kumar Chaurasiya

{"title":"Effect of magnetic field and hydrodynamic slippage on electro-osmotic Brinkman flow through patterned zeta potential microchannel","authors":"Vishal Chhabra, Chandra Shekhar Nishad, Manoj Sahni, Vineet Kumar Chaurasiya","doi":"10.1007/s10665-024-10391-x","DOIUrl":"https://doi.org/10.1007/s10665-024-10391-x","url":null,"abstract":"An analytical investigation is conducted to analyze the impact of magnetic field and hydrodynamic slippage on two-dimensional electro-osmotic Brinkman flow in a microchannel with cosine surface zeta potential. The Brinkman equation is utilized to govern the fluid flow within a fully saturated, homogeneous, and isotropic porous medium. We consider a very small magnetic Reynolds number to eliminate the induced magnetic field equation. The Navier slip boundary condition is applied to assess the impact of hydrodynamic slippage. We utilize the Debye–Huckel length approximation to linearize the Poisson–Boltzmann equation, which governs the potential of the electrical double layer. The stream function is obtained analytically, and contour plots, velocity fields, shear stresses, and pressure gradients are assessed to gain a proper understanding of flow physics. We utilize the stream function to plot the streamline plots for distinct assumed flow parameters. We observed that for a fixed Darcy number, the intensity of flow vortices decreases with increasing Hartman number while increasing with increasing slip length. Further, altering the wave number in the assumed cosine-waved zeta potential causes asymmetrical recirculations in the flow, which helps in increasing the scalar mixing process in microdevices. Further, the proposed investigation has various crucial applications, such as microfluidic cooling systems, drug delivery systems, and so on.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182370","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

A mathematical model for the nutrient distribution of a spheroidal avascular cancer tumour within an inhomogeneous environment 非均质环境中球形无血管癌症肿瘤营养分布的数学模型

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-19 DOI: 10.1007/s10665-024-10389-5

Panayiotis Vafeas, Polycarpos K. Papadopoulos

{"title":"A mathematical model for the nutrient distribution of a spheroidal avascular cancer tumour within an inhomogeneous environment","authors":"Panayiotis Vafeas, Polycarpos K. Papadopoulos","doi":"10.1007/s10665-024-10389-5","DOIUrl":"https://doi.org/10.1007/s10665-024-10389-5","url":null,"abstract":"When a cancerous cell colony grows within a healthy environment, the entire structure can be modelled as a continuous two-phase fluid with five bounded compartments, governed by the laws of mass conservation, Fick’s diffusion law, and fluid mechanics principles. The interfaces of the five bounded compartments of the colony are defined by critical values of nutrient concentration. In studying the evolution of the exterior tumour boundary, nutrient concentration is the primary parameter. Although most existing research focuses on spherical tumours, significant implications for nutrient distribution emerge when spherical symmetry is abandoned, such as the occurrence of critical values at specific points rather than across the entire surface. In this work, we consider an oblate spheroidal tumour and investigate the effects of non-homogeneity in both nutrient supply and consumption rates. Our findings indicate that critical values are encountered within the interior of a thin layer, rather than at a single interface, although the interface is still included. We study the variation of nutrient concentration on the tumour’s interfaces through plots, highlighting the critical locations. The prolate spheroidal case can be derived via a simple transformation, and comparisons with similar spherical models are also discussed.","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182369","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

The effect of asymmetric zeta potentials on the electro-osmotic flow of a generalized Phan–Thien–Tanner fluid 非对称 Zeta 电位对广义 Phan-Thien-Tanner 流体电渗流的影响

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-17 DOI: 10.1007/s10665-024-10387-7

A. M. Ribau, L. L. Ferrás, M. L. Morgado, M. Rebelo, F. T. Pinho, A. M. Afonso

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A hybrid potential flow model for shedding flow around a circular cylinder 环绕圆柱体甩流的混合势流模型

IF 1.3 4区工程技术

Journal of Engineering Mathematics Pub Date : 2024-08-09 DOI: 10.1007/s10665-024-10386-8

Vijay Matheswaran, L. Scott Miller

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