A note on the S-transform and slender body theory in Stokes flow

A note on the S-transform and slender body theory in Stokes flow
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斯托克斯流中S变换和细长体理论的注记

DOI:
10.1093/imamat/hxq005
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发表时间:
2010
影响因子:
1.2
通讯作者:
P. W. Wakeley
P. W. Wakeley
中科院分区:
数学4区
文献类型:
--
作者:
J. Blake;E. Tuck;P. W. Wakeley

文献摘要

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细长体变换,简称为S变换,是从细长体粘性流动的渐近分析中自然产生的。本文考虑了S变换的一些性质,以及利用勒让德多项式的特殊性质,以产生一系列的细长体形状与固定阻力。这些例子的可行的参数空间。
The slender body transform, known in abbreviated form as the S-transform, arises naturally from the asymptotic analysis of very viscous flow around slender bodies. This paper considers some of the properties of the S-transform as well as exploiting the special properties associated with Legendre polynomials to generate a range of slender body shapes with fixed drag. The viable parameter space for these examples is also presented.