Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation

HUANG Yong-nian; HU Xin

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(12): 1227-1237

HUANG Yong-nian, HU Xin. Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1227-1237.

Citation:

HUANG Yong-nian, HU Xin. Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1227-1237.

Citation:

HUANG Yong-nian, HU Xin. Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1227-1237.

PDF( 428 KB)

Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation

Department of Mechanics and Engineering Science & State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P R China

Received Date: 1999-09-03
Rev Recd Date: 2000-07-05
Publish Date: 2000-12-15

Abstract

Abstract

A class of exact general solutions of an axisymmetric flow of the fluid dynamic equations is given.Then some examples are discussed.Some vortex solutions can be superposed to give other exact solutions.It can be used to analyse the generation and evolution of the vortex ring.
- vortex elements,
- spherical vortices,
- cylindrical vortices,
- superposition,
- symmetry

FullText(HTML)

References(10)

References

[1]	SHI Chang-chun, HUANG Yong-nian. Some prop erties of three-dimensional Beltrami flows[J]. Acta Mechanica Sinica,1991,7(4):290-294.
[2]	SHI Chang-chun, HUANG Yong-nian, CHEN Yao-song. On the Beltrami flows[J]. Acta Mechanica Sinica,1992,8(4):289-294.
[3]	黄永念,是长春,朱照宣,等. Lagrange湍流与Beltrami流动[A]. 见:中国力学学会办公室编. 现代流体力学进展Ⅱ[C]. 北京:科学出版社,1993, 1-15.
[4]	Moffatt H K. The degree of knottedness of tangled vortex l ines[J]. J Fluid Mech,1969,35:117-129.
[5]	Zheligovsky V A. A kinematic magnetic dynamo sustained by a Beltrami flow in a sphere[J]. Geophys Astrophys Fluid Dynamics,1993,73:217-254.
[6]	Batchlor G K. An Introduction to Fluid Dynamics[M]. London: Cambridge University Press,1967,543-550.
[7]	Synge J L, Lin C C. On a statistical model of isotropic turbulence [J]. Trans Roy Soc Canad, 3 Ser Sec 3,1943,37:1-35.
[8]	周培源,蔡树棠. 涡球在粘性流体中的运动[J]. 北京大学学报,1956,1(1):39-49.
[9]	周培源,蔡树棠. 均匀各向同性湍流在后期衰变时的涡性结构[J]. 力学学报,1957,1(1):3-14
[10]	黄永念,周培源. Navier-Stokes方程的求解和均匀各向同性湍流理论[J]. 中国科学,1981,(7,8):825-836,953-964.