MATEC Web Conf.
Volume 211, 2018The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|Number of page(s)||7|
|Section||TP2: Fluid structure interaction|
|Published online||10 October 2018|
Ellipsoid movement in ideal or viscous fluid
Institute for Problems in Mechanics RAS,
Pr. Vernadskogo 101-1,
2 Moscow Institute of Physics and Technology, Institutskiy per. 9, 141700 Dolgoprudny, Russia
The movement problem of the triaxial ellipsoid in ideal and viscous fluid in Stokes approximation is considered. With the help of the Newton potential theory it is shown that the complete solution of this problem may be expressed through a single function of two variables, which, in its turn, can be expressed through two well-known elliptic functions - E(x; y) and F(x; y). The result obtained simplifies the analysis of fluid velocity field when a triaxial ellipsoid is moving in it. The solution of the external boundary problem for the Stokes equations of viscous fluid flow is built. The ellipsoid in incident flow with velocity v experiences the same resistance as a ball of a certain radius. Using this, the triaxial ellipsoid which experiences minimum resistance is found, and its resistance is compared to the one of a sphere.
© The Authors, published by EDP Sciences, 2018
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