HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY

doi:10.1016/S0252-9602(18)30801-4

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 1057-1104.doi: 10.1016/S0252-9602(18)30801-4

• 论文 • 上一篇

HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY

姜伟峰¹, 李开泰²

1. School of Sciences, Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;
2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2016-02-03 修回日期:2018-03-21 出版日期:2018-06-25 发布日期:2018-06-25
通讯作者: Weifeng JIANG E-mail:weifengjiang@163.com
作者简介:Kaitai LI,E-mail:ktli@xjtu.edu.cn
基金资助:
This work was supported by NSFC (91330116), State Major Basic Research and Development Project (2011CB 706505), NSFC (11371289), NSFC (11371288).

HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY

Weifeng JIANG¹, Kaitai LI²

1. School of Sciences, Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;
2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2016-02-03 Revised:2018-03-21 Online:2018-06-25 Published:2018-06-25
Contact: Weifeng JIANG E-mail:weifengjiang@163.com
Supported by:
This work was supported by NSFC (91330116), State Major Basic Research and Development Project (2011CB 706505), NSFC (11371289), NSFC (11371288).

摘要/Abstract

摘要：

In this article, we investigate three-dimensional solution with helical symmetry in a gap between two concentric rotating cylinders, inside is a helicoidal surface (screw propeller) while outside is a cylindrical surface. Establish the partial differential equations and its variational formulation satisfied by a helical solution in a helical coordinate system using tensor analysis method, we provide a computational method for the power and propulsion of the screw. The existence and uniqueness of weak helical solutions are proved.

关键词: Navier-Stokes equations, helicoidal surface, rotating helical flow

Abstract:

Key words: Navier-Stokes equations, helicoidal surface, rotating helical flow

姜伟峰, 李开泰. HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY[J]. 数学物理学报(英文版), 2018, 38(3): 1057-1104.

Weifeng JIANG, Kaitai LI. HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY[J]. Acta mathematica scientia,Series B, 2018, 38(3): 1057-1104.

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HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY

HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY

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