黄树新, 鲁传敏. 用KBKZ型本构方程表征Boger流体黏弹性[J]. 力学与实践, 2004, 26(2). DOI: 10.6052/1000-0879-2003-027
引用本文: 黄树新, 鲁传敏. 用KBKZ型本构方程表征Boger流体黏弹性[J]. 力学与实践, 2004, 26(2). DOI: 10.6052/1000-0879-2003-027
DESCRIPTION OF VISCOELASTIC PROPERTIES FOR A BOGER FLUID BY USING KBKZ-TYPE CONSTITUTIVE EQUATIONS[J]. MECHANICS IN ENGINEERING, 2004, 26(2). DOI: 10.6052/1000-0879-2003-027
Citation: DESCRIPTION OF VISCOELASTIC PROPERTIES FOR A BOGER FLUID BY USING KBKZ-TYPE CONSTITUTIVE EQUATIONS[J]. MECHANICS IN ENGINEERING, 2004, 26(2). DOI: 10.6052/1000-0879-2003-027

用KBKZ型本构方程表征Boger流体黏弹性

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

  • 摘要: 用4个KBKZ积分型本构方程(Wagner模型、PSM模型、2e模型以及3r模型)描述了一种Boger流体的黏弹性. 采用最小二乘法拟合G'和G''获得材料的松弛时间谱,采用非线性规划方法拟合N_1得到各模型的衰减函数参数. 结果表明,4个模型都可以准确地表征该Boger流体的流变特性. 由于Wagner模型、PSM模型较简单,选择这两个模型表征Boger流体的黏弹性是合适的.

     

    Abstract: Four KBKZ integral-type constitutive equations, includingWagner model, PSM model, 2e model and 3r model proposed by the authors, wereused in the paper to describe the viscoelastic characteristics of a Bogerfluid. The least square approximation was adopted to fit G' and G''to obtain the relaxation spectrum of the fluid, and the nonlinearprogramming method was employed to fit N_1 to obtain the parametervalues in the damping function of the four models. The results show that thefour models can characterize the rheological properties of the Boger fluidprecisely. Either Wagner model or PSM model is a good choice forcharacterizing the viscoelastic properties of Boger fluid, due to its simplicity.

     

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