Particulate Suspension Blood Flow Model in a Peristaltic Pumping with Inserted Circular Catheter

A mathematical model of Peristaltic pumping of a particle-fluid suspension in a circular tube with an inserted catheter has been developed. The coupled differential equations for both the fluid and the particle phases have been solved and the expression for the flow rate, pressure drop, friction forces at the tube and the catheter wall have been derived. It is found that the pressure drop increases with the particle concentration for any given catheter size (diameter) and also with the increasing catheter size for any given particle concentration. The friction force at the tube wall is found to be significantly higher in magnitude than the corresponding friction force at the catheter wall. The friction forces (at tube as well as the catheter walls) possess character similar to the pressure drop (an opposite character to the pressure rise) with respect to any set of parameters given.