Affiliation:
1. Department of Mechanical Engineering College of Engineering, Prince Mohammad Bin Fahd University Al Khobar Saudi Arabia
2. Department of Mathematics COMSATS University Islamabad Vehari Campus Pakistan
3. Department of Mathematics, College of Science King Khalid University Abha Saudi Arabia
Abstract
AbstractThis study aims to explore a novel cross model for peristaltic flow, which has not been previously addressed. The focus is on investigating the peristaltic flow of an incompressible nanofluid within a vertically uniform channel. The current model has application in drug delivery, biomedical engineering, lab on chip etc. Utilizing peristaltic flow for drug delivery systems in symmetric channels offers precise control over fluid motion, non‐Newtonian fluids, such as polymer solutions used in drug formulations, exhibit complex flow behavior that can be manipulated through peristaltic pumping mechanisms. This application has the potential to revolutionize targeted drug delivery, enhancing therapeutic efficacy and minimizing side effects. Studying peristaltic flow in symmetric channels for non‐Newtonian fluids offers interdisciplinary insights and innovative applications. Understanding fluid rheology, channel geometry, and peristaltic pumping can lead to novel strategies for fluid control, with implications for healthcare, biotechnology, and materials science advancements. To simplify the complex system of nonlinear partial differential equations governing the flow, we consider long wavelengths and low Reynolds numbers. Subsequently, we employ Shooting methods to solve this system of equations, providing a comprehensive evaluation of the numerical results for key parameters such as velocity, temperature, concentration, and pressure gradient. The findings are presented through graphical representations of significant flow parameters.