• 应用研究 •

### 用KBKZ型本构方程表征Boger流体黏弹性

1. 上海交通大学工程力学系 上海交通大学工程力学系 200030
• 收稿日期:2003-01-21 修回日期:2003-07-01 出版日期:2004-04-10 发布日期:2004-04-10

### DESCRIPTION OF VISCOELASTIC PROPERTIES FOR A BOGER FLUID BY USING KBKZ-TYPE CONSTITUTIVE EQUATIONS

Abstract: Four KBKZ integral-type constitutive equations, including Wagner model, PSM model, 2e model and 3r model proposed by the authors, were used in the paper to describe the viscoelastic characteristics of a Boger fluid. The least square approximation was adopted to fit $G'$ and $G''$ to obtain the relaxation spectrum of the fluid, and the nonlinear programming method was employed to fit $N_{1}$ to obtain the parameter values in the damping function of the four models. The results show that the four models can characterize the rheological properties of the Boger fluid precisely. Either Wagner model or PSM model is a good choice for characterizing the viscoelastic properties of Boger fluid, due to its simplicity.