Pulsatile Flow of a Chemically-Reacting Nonlinear Fluid

Many complex biological systems such as blood and polymeric materials can at times be approximated as single constituent homogeneous fluids whose properties can change due to the chemical reactions that take place. For instance, the viscosity of such fluids could change both due to the chemical reactions and the flow. Here, we investigate the pulsatile flow of a chemically-reacting fluid whose viscosity depends on the concentration of a species (constituent) that is governed by a convection-reaction-diffusion equation and the velocity gradient, which can thicken or thin the fluid. We study the competition between the chemical reaction and the kinematics in determining the response of the fluid.