Study on the constitutive equation with fractional derivative for the viscoelastic fluids - Modified Jeffreys model and its application
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- 作者：D. Y. Song and Ti Qian Jiang
- 关键词：Key words Constitutive equation ; fractional derivative ; Jeffreys model ; Sesbania gel ; xanthan gum
- 刊名：Rheologica Acta
- 出版时间：November 1998
- 出版年：1998
- 期刊代码：98_0035-4511
- 类别：ph
- 卷：37
- 期：5
- 页码：512-517
- 数据来源：sp
摘要
Based on the classic linear viscoelastic Jeffreys model, a modified Jeffreys model is suggested. The corresponding five-parameter equation with fractional derivatives of different orders of the stress and rate of strain is stated and the characteristic material functions of the linear viscoelasticity theory, such as the dynamic moduli, are derived. The comparison between the measured dynamic moduli of Sesbania gel and xanthan gum and the theoretical predictions of the proposed phenomenological model shows an excellent agreement.