CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM

IF 2.5 4区 工程技术 Q2 ENGINEERING, MECHANICAL Journal of Porous Media Pub Date : 2024-01-01 DOI:10.1615/jpormedia.2024050262
Shyamala Sakthivel, Pankaj Shukla, Selvi Ramasamy
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Abstract

This problem emphasizes the dynamic interaction between a biporous medium and a couple stress fluid of laminar flow. The flow around a permeable field engulfed in a couple stress fluid is examined. When examining the motion of an oil droplet in a porous collector that is surrounded by an aqueous medium (oil-in-water emulsion) and is subject to an external pressure drop, this formulation of the problem is typical. A similar issue arises when lymph enters the tissues of humans or animals: the inside permeable spherical field saturated with viscous fluid and outside region saturated with couple stress fluid. The Brinkman equations are utilized to characterize the couple stress fluid flow in a saturated biporous medium. The couple stress tensor and velocity fields are expressed using Gegenbauer polynomials and Macdonald functions. For the axially symmetric motion, both pressure distribution and the stream function solution are explicitly solved. The method of variable separation is used to investigate an analytical resoluteness for the flow field. The drag force on a saturated biporous medium and the drag coefficient DN are calculated, and the impacts of the permeability κ, the ratio of viscosity (γ2 = μ12), the couple stress viscosity ratio (τ = η'/η), and the parameter of couple stress (λ = √μ/η). The appropriate dependencies are graphically delineated and reviewed, including the permeability κ, couple stress parameter λ, viscosity ratio γ2, and couple stress viscosities (η, η'). According to the findings, increasing permeability gradually raises the drag coefficient, which is used to describe a spherical field’s surface with a high level resistance of flow. Limits statements are used to illustrate specific cases that are well-known. The current study is significant primarily in the course through a layer formed by penetrable particles and has very important and compelling applications in both nature and innovation, with a variety of potential outcomes.
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饱和双孔介质上球形场上的耦合应力流体的蠕动流动
该问题强调双孔介质与层流耦合应力流体之间的动态相互作用。研究了被耦合应力流体吞噬的渗透场周围的流动。在研究被水介质(水包油乳液)包围的多孔收集器中油滴的运动时,受到外部压降的影响,这种问题的表述方式非常典型。当淋巴进入人体或动物组织时,也会出现类似的问题:内部渗透性球形场饱和粘性流体,外部区域饱和耦合应力流体。布林克曼方程用于描述饱和双孔介质中耦合应力流体流动的特征。耦合应力张量和速度场使用格根鲍尔多项式和麦克唐纳函数表示。对于轴对称运动,压力分布和流函数解法都是显式求解。变量分离法用于研究流场的分析解析度。计算了饱和双孔介质上的阻力和阻力系数 DN,以及渗透率 κ、粘度比(γ2 = μ1 /μ2)、耦合应力粘度比(τ = η'/η)和耦合应力参数(λ = √μ/η)的影响。对相应的依赖关系,包括渗透率 κ、耦合应力参数 λ、粘度比 γ2 和耦合应力粘度 (η, η'),进行了图解和评述。根据研究结果,渗透率的增加会逐渐提高阻力系数,阻力系数用于描述具有高流动阻力的球形场表面。极限说明用于说明众所周知的具体情况。目前的研究主要在通过可穿透颗粒形成的层的过程中具有重要意义,在自然界和创新领域都有非常重要和引人注目的应用,并可能产生各种结果。
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来源期刊
Journal of Porous Media
Journal of Porous Media 工程技术-工程:机械
CiteScore
3.50
自引率
8.70%
发文量
89
审稿时长
12.5 months
期刊介绍: The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.
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