Dropping slender-body theory into the mud

Dropping slender-body theory into the mud
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让细长身体理论陷入泥沼

DOI:
10.1017/jfm.2018.942
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发表时间:
2019
影响因子:
3.7
通讯作者:
S. Spagnolie
S. Spagnolie
中科院分区:
工程技术2区
文献类型:
--
作者:
S. Spagnolie

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众所周知,当流体中有一个或多个沉体时,描述经典粘性流体流动的方程很难求解,即使是近似求解。当一个沉体很细长时,其宽高比的小有时可以作为描述其与周围环境相互作用的“细长体理论”的基础。然而,如果流体是复杂的,这些理论通常是无效的,并且理解沉体动力学的努力几乎完全是数值性质的。在英勇的努力下,休伊特和巴尔姆福斯(J.流体力学)。(第856卷,2018年,第870-897页)已经发现了一个理论来描述细长物体在粘塑性流体中的运动,这种“流体”,如泥浆或牙膏,可以被诱导流动,但只有在足够大的压力下。一些极其复杂的物理系统的数学理论现在可能触手可及。
The equations describing classical viscous fluid flow are notoriously challenging to solve, even approximately, when the flow is host to one or many immersed bodies. When an immersed body is slender, the smallness of its aspect ratio can sometimes be used as a basis for a ‘slender-body theory’ describing its interaction with the surrounding environment. If the fluid is complex, however, such theories are generally invalid and efforts to understand the dynamics of immersed bodies are almost entirely numerical in nature. In a valiant effort, Hewitt & Balmforth (J. Fluid Mech., vol. 856, 2018, pp. 870–897) have unearthed a theory to describe the motion of slender bodies in a viscoplastic fluid, ‘fluids’ such as mud or toothpaste which can be coaxed to flow, but only with a sufficiently large amount of forcing. Mathematical theories for some tremendously complicated physical systems may now be within reach.
在粘弹性流体中平移的细长物体尖端处与方向相关的弹性应力集中
DOI: 10.1103/physrevfluids.4.031301
发表时间: 2019
影响因子: 2.7
作者:
Li, Chuanbin;Thomases, Becca;Guy, Robert D.
通讯作者: Guy, Robert D.