Flow of a Burgers fluid due to time varying loads on deforming boundaries

Abstract

In this paper we study three boundary-initial value problems within the context of four rate type viscoelastic constitutive models, the Maxwell model, the Oldroyd-B model, Burgers model and the generalized Burgers model. We consider challenging problems wherein the boundary is deforming with time.

The flows lead to a complex system of partial differential equations that require the development of a robust numerical procedure based on the arbitrary Lagrangian-Eulerian method.

Keywords

• Rate type fluid
• Maxwell
• Oldroyd-B
• Burgers
• Finite element method
• Monolithic ALE method