标题：Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell model
作者：Tan Wenchang;Xu Mingyu
作者机构：[Tan Wenchang] Department of Mechanics and Engineering Science, Peking University, State Key Laboatory for Turbulence Research, BeiJing 100871, China. 更多
通讯作者地址：[Tan, WC]Peking Univ, Dept Engn Sci & Mech, Beijing 100871, Peoples R China.
来源：ACTA MECHANICA SINICA
关键词：viscoelastic fluid; fractional calculus; Stokes problem; fractional; Maxwell model
摘要：The fractional calculus approach in the constitutive relationship model of viscoelastic fluid is introduced. The flow near a wall suddenly set in motion is studied for a non-Newtonian viscoelastic fluid with the fractional Maxwell model. Exact solutions of velocity and stress axe obtained by using the discrete inverse Laplace transform of the sequential fractional derivatives. It is found that the effect of the fractional orders in the constitutive relationship on the flow field is significant. The results show that for small times there are appreciable viscoelastic effects on the shear stress at the plate, for large times the viscoelastic effects become weak.