On Maxwell fluid with relaxation time and viscosity depending on the pressure

We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure. Such a model is relevant for example in modelling behaviour of some polymers and geomaterials. Although it is experimentally known that the material moduli of some viscoelastic fluids can depend on the pressure, most of the studies concerning the motion of viscoelastic fluids do not take such effects into account despite their possible practical significance in technological applications. Using a generalized Maxwell model with pressure dependent material moduli we solve a simple boundary value problem and we demonstrate interesting non-classical features exhibited by the model. Key words: Maxwell fluid, pressure dependent material moduli, Stokes' second problem, exact solution 2000 MSC: 76A10

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Satish Karra, Vít Prusa, K. R. Rajagopal
• Keywords: CORR 2010, Dependent Material Moduli, Education, Material Moduli, Viscoelastic Fluids