Electrically actuated peristaltic transport of viscoelastic fluid: a theoretical analysis

Abstract

In this article, we discuss the bioinspired peristaltic pumping mechanism of an elastic non-Newtonian fluid whose rheology is characterized by the Phan-Thien-Tanner model in a microfluidic configuration. We consider the effect of an electroosmotic body force originating from electrical double layer phenomena formed in the wall of the fluidic channel of finite length. The considered configuration is consistent with the natural contraction of the oesophagus wall that does not involve expansion beyond the stationary boundary. Employing lubrication theory and assuming the underlying flow to be in the creeping flow regime, we outline the transport equations pertaining to the chosen peristaltic set up. The transport equations are then solved using a well-established method consistent with perturbation technique. By depicting the pressure variation and wall shear stress graphically for a continuous wave train, we aptly discuss the time-averaged net throughput and flow developed at channel inlet of the chosen pathway and demonstrate the eventual consequences of these flow patterns for a window of viscoelastic and electrokinetic parameters. The outcomes obtained from this model establishes that the underlying flow owing to the peristaltic pumping mechanism strongly relies on the rheological parameter \(\varepsilon W{e}^{2}\). These inferences are expected to be of extensive importance in designing peristalsis pump, mimicking features of the physiological system, for achieving unidirectional flow of complex fluids with improved efficiency, frequently used in biochemical/biomicrofluidic applications.