Oscillatory shear flow between two parallel plates for viscoelastic constitutive model of distributed-order derivative
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 26 September 2019
Issue publication date: 2 March 2020
Abstract
Purpose
The purpose of this study is to investigate viscoelastic properties for the constitutive equation in terms of distributed-order derivatives.
Design/methodology/approach
The authors considered the steady oscillatory shear flow between two parallel plates (one is fixed and another oscillates in its own plane), and then examined the effects of different forms of the order-weight functions.
Findings
The constitutive equation in terms of distributed-order derivatives can characterize viscoelastic properties. The order-weight functions can effectively describe viscoelasticity.
Originality/value
Model the viscoelastic constitutive equation in terms of distributed-order derivatives, where order-weight functions can select to respond viscoelastic properties.
Keywords
Acknowledgements
The work was supported by the National Natural Science Foundation of China (No.11772203) and the Natural Science Foundation of Shanghai (No.17ZR1430000).
Citation
Duan, J.-S. and Chen, L. (2020), "Oscillatory shear flow between two parallel plates for viscoelastic constitutive model of distributed-order derivative", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 3, pp. 1137-1148. https://doi.org/10.1108/HFF-05-2019-0424
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited