On Maxwell fluid with relaxation time and viscosity depending on the pressure
For researchers in viscoelastic fluid dynamics, this work highlights the importance of pressure-dependent material moduli, which are often neglected despite experimental evidence.
The authors study a Maxwell fluid model where viscosity and relaxation time depend on pressure, solving a simple boundary value problem to demonstrate non-classical behaviors relevant to polymers and geomaterials.
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.