Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model

摘要

Exact analytic solutions for the flows of viscoelastic fluids are constructed. The flows are induced by general periodic oscillations of a plate. Based on the flow conditions described, three flow situations are solved by Fourier transform. Further, the fractional calculus approach is taken into account in the constitutive relationship of viscoelastic fluid model. Finally, some interesting flows caused by certain special oscillations are also established.