Analysis of general second-order fluid flow in double cylinder rheometer

被引：0

作者：

黄军旗

何光渝

刘慈群

机构：

[1] Chinese Academy of Sciences

[2] Xi’an Petroleum Institute

[3] Department of Resources and Environmental Sciences

[4] Institute of Porous Flow and Fluid Mechanics

[5] Xi’an 730000

[6] Beijing 100875

[7] China

[8] Department of Petroleum Engineering

[9] Langfang 102801

[10] Beijing Normal University

来源：

Science China Mathematics | 1997年 / 02期

关键词：

double cylinder rheometer; second-order fluid; fractional calculus;

D O I：

暂无

中图分类号：

O172 [微积分];

学科分类号：

0701 ; 070101 ;

摘要：

The fractional calculus approach in the constitutive relationship model of second-order fluid is introduced and the flow characteristics of the viscoelastic fluid in double cylinder rheometer are studied. First, the analytical solution of which the derivative order is 1/2 is derived with the analytical solution and the reliability of Laplace numerical inversion based on Crump algorithm for the problem is verified, then the characteristics of second-order fluid flow in the rheometer by using Crump method is analyzed. The results indicate that the more obvious the viscoelastic properties of fluid are, the more sensitive the dependence of velocity and stress on fractional derivative order is.

引用

页码：183 / 190

页数：8