RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 304-311.

RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION

邵雪明^1,2, 林建忠^1,2, 余钊圣¹

1. Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2. State Key Laboratory of Fluid Transmission and Control, Hangzhou 310027, P. R. China

收稿日期:1999-12-21 修回日期:2000-09-20 出版日期:2001-03-18 发布日期:2001-03-18
基金资助:
the Doctoral Foundation of Education Ministry of China(98033511)

RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION

SHAO Xue-ming^1,2, LIN Jian-zhong^1,2, YU Zhao-sheng¹

1. Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2. State Key Laboratory of Fluid Transmission and Control, Hangzhou 310027, P. R. China

Received:1999-12-21 Revised:2000-09-20 Online:2001-03-18 Published:2001-03-18
Supported by:
the Doctoral Foundation of Education Ministry of China(98033511)

摘要/Abstract

摘要： The evolution of the coherent structures in a two-dimensional time-developing mixing layer of the FENE-P fluids is examined numerically. By the means of an appropriate filtering for the polymer stress, some characteristics of the coherent structures at high b were obtained, which Azaiez and Homsy did not address. The results indicate that adding polymer to the Newtonian fluids will cause stronger vorticity diffusion, accompanied with weaker fundamental and subharmonical perturbations and slower rotational motion of neighboring vortices during pairing. This effect decreases with the Weissenberg number, but increases with b. In addition, the time when the consecutive rollers are completely coalesced into one delays in the viscoelastic mixing layer compared with the Newtonian one of the same total viscosity.

Abstract: The evolution of the coherent structures in a two-dimensional time-developing mixing layer of the FENE-P fluids is examined numerically. By the means of an appropriate filtering for the polymer stress, some characteristics of the coherent structures at high b were obtained, which Azaiez and Homsy did not address. The results indicate that adding polymer to the Newtonian fluids will cause stronger vorticity diffusion, accompanied with weaker fundamental and subharmonical perturbations and slower rotational motion of neighboring vortices during pairing. This effect decreases with the Weissenberg number, but increases with b. In addition, the time when the consecutive rollers are completely coalesced into one delays in the viscoelastic mixing layer compared with the Newtonian one of the same total viscosity.

中图分类号:

O357.5

邵雪明;林建忠;余钊圣. RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 304-311.

SHAO Xue-ming;LIN Jian-zhong;YU Zhao-sheng. RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 304-311.

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RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION

RESEARCH ON COHERENT STRUCTURES IN A MIXING LAYER OF THE FENE-P POLYMER SOLUTION

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