DECAY OF VORTEX VELOCITY AND DIFFUSION OF TEMPERATURE IN A GENERALIZED SECOND GRADE FLUID

被引：0

作者：

沈芳

谭文长

赵耀华

T·增冈隆士

机构：

[1] Department of Mechanics and Engineering Science State Key Laboratory for Turbulence and Complex System Research Peking University

[2] Institute of Engineering Thermophysics Chinese Academy of Sciences

[3] Department of Mechanical Engineering Science Kyushu University Beijing

[4] PRChina

[5] Key Laboratory for Space Weather

[6] Center for Space Sciecne and Applied Research

[7] Chinese Academy of Science

[8] Beijing

[9] Department of Mechanical Engineering Science

[10] Kyushu University

[11] Fukuoka

[12] -

[13] Japan

来源：

Applied Mathematics and Mechanics(English Edition) | 2004年 / 10期

关键词：

generalized second grade fluid; fractional calculus; unsteady flow; temperature field; generalized Mittag-Leffler function;

D O I：

暂无

中图分类号：

O357.1 [不可压缩粘性流体力学];

学科分类号：

080103 ; 080704 ;

摘要：

The fractional calculus approach in the constitutive relationship model of viscoelastic fluid was introduced. The velocity and temperature fields of the vortex flow of a generalized second fluid with fractional derivative model were described by fractional partial differential equations. Exact analytical solutions of these differential equations were obtained by using the discrete Laplace transform of the sequential fractional derivatives and generalized Mittag-Leffler function. The influence of fractional coefficient on the decay of vortex velocity and diffusion of temperature was also analyzed.

引用

页码：1151 / 1159

页数：9