Eulerian derivation of non-inertial Navier-Stokes and boundary layer equations for incompressible flow in constant pure rotation

Combrinck M. L.; Dala L. N.; Lipatov I. I.

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Eulerian derivation of non-inertial Navier-Stokes and boundary layer equations for incompressible flow in constant pure rotation

机译：恒定纯旋转中不可压缩流动的非惯性Navier-Stokes和边界层方程的欧拉衍生

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摘要

The paper presents an Eulerian derivation of the non-inertial Navier-Stokes equations as an alternative to the Lagrangian fluid parcel approach. To the best knowledge of the authors, this is the first instance where an Eulerian approach is used for such a derivation. This work expands on the work of Kageyama and Hyodo (2006) who derived the incompressible momentum equation in constant rotation for geophysical applications. In this paper the derivation is done for the full set of Navier-Stokes equations in incompressible flow for pure rotation. It is shown that the continuity equation as well as the conservation of energy equation are invariant under transformation from the inertial frame to the rotational frame. From these equations the non-inertial boundary layer equations for flow on a flat plate subjected to rotation is derived in both the Cartesian and cylindrical co-ordinate systems. (C) 2017 Elsevier Masson SAS. All rights reserved.

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《European Journal of Mechanics, B. Fluids》 |2017年第2017期|共21页
作者
Combrinck M. L.; Dala L. N.; Lipatov I. I.;
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作者单位

Univ Pretoria Pretoria South Africa;

Univ Pretoria Pretoria South Africa;

Cent Aerohydrodynam Inst Zhukovskii Moscow Oblast Russia;

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正文语种 eng
中图分类理论力学（一般力学）;
关键词
Rotational transform; Galilean transformation; Coriolis force; Centrifugal force; Boundary layer;

机译：旋转变换;加里利利亚转型;科里奥利力;离心力;边界层;

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5. Eulerian derivation of non-inertial Navier-Stokes and boundary layer equations for incompressible flow in constant pure rotation [J] . Combrinck M. L., Dala L. N., Lipatov I. I. European Journal of Mechanics, B. Fluids . 2017,第期

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Eulerian derivation of non-inertial Navier-Stokes and boundary layer equations for incompressible flow in constant pure rotation

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