Cross-diffusion and heat transfer effects on peristaltic flow of Reiner-Philippoff nanofluid with pseudoplastic and dilatant fluids over tapered channel: Multiple solutions and stability analysis

Abstract

Peristaltic flow is used in many scientific and technological fields, including biology and medical technology. The goal of this research is to investigate the peristaltic behavior in an asymmetric non-uniform (tapering) channel using a Reiner-Philippoff fluid model (RPFM)-based nanofluid under the influence of dilatant and pseudoplastic fluid behavior. The Buongiorno nanofluid model (BNFM) is considered to investigate heat mass transportation. The channel is transformed from static reference to movement frame using the subsequent set of modifications, and the dynamic frame is transformed back to dimensionless form using the dimensionless parameters. The fundamental equations have been streamlined due to the long wavelength and small Reynolds number. Novelty of the current study is to examine the stability of numerical framework for RPFM-based nanofluid with dilatant and pseudoplastic fluid behavior. The boundary value problem fourth order code (bvp4c) technique is used to obtain the numerical results. With the use of graphs and tables, the physical elements that influence fluid dynamics are further explained. Stability evaluation has been performed mathematically and graphically. The most reliable solution is shown by the lowest positive eigenvalues, while the unreliable solution is indicated by the negative eigenvalues. It has been proven that changing the Reiner-Philippoff fluid (RPF) factor results in a fluid's velocity changing from dilatant to Newtonian as well as from Newtonian to pseudoplastic. According to the findings, the temperature curves rise as thermophoretic components and Brownian motion increase while decreasing as the Prandtl number increases. A brief theoretical and graphical analysis of each important parameter's effects on the flow dynamics is also carried out.