Study of Pseudoplastic and Dilatant Behavior of Nanofluid in Peristaltic Flow: Reiner-Philippoff Models

Abstract

The main goal of this article is to study the effects of pseudoplastic and dilatant behavior of nanofluid on peristaltic flow. This behavior is analyzed along with heat transfer analysis in an asymmetric, non-uniform channel. The Reiner-Philippoff (RPh) fluid model is considered for this study to depict the non-Newtonian characteristics of the fluid. The Reiner-Philippoff fluid model represents the implicit relation between stress and deformation rate. The governing equations for the Reiner-Philippoff peristaltic nanofluid motion are simplified by using the small Reynolds-number and long wavelength estimations. The sound effects of Reiner-Philippoff nanofluid on the behavior of axial velocity, volume fraction of nanoparticles, pressure gradient fields, temperature of fluid, heat transfer rate and streamline functions are discussed in detail. The interesting behavior of Reiner-Philippoff fluid for two limiting cases when shear stress parameter is very small and very large is verified. The heat transfer analysis of dilatants and pseudoplastic fluids is also discussed in detail.