Dynamic response of Maxwell fluid in an elastic cylindrical tube

Abstract

In the present study, the dynamic response of Maxwell fluid in an elastic cylindrical tube is considered. Focusing on the viscoelastic flow through a thin-walled slender elastic cylindrical shell and neglecting inertia in the liquid and solid, a non-homogeneous linear diffusion equation controlling the coupled viscous–elastic system is obtained. The fluid pressure and deformation fields are obtained by numerical Laplace inversion. The results show that the relaxation time of Maxwell fluid has a significant effect on the flow and deformation fields of the viscoelastic system. This research can be used for the design and control of complex time-varying deformation fields and has a certain value for the applications of soft actuators, micro-autonomous systems, and soft robotics.