Effect of Sinusoidal Magnetic Field on Peristaltic Flow of Eyring-Powell Nanofluid in an Asymmetric Channel

Abstract

This paper aims to investigates the effect of sinusoidal magnetic field on peristaltic flow of Eyring-Powell (E-P) nanofluid in an asymmetric channel. The moment dynamics of the E-P nanofluid, driven by peristalsis and modelled through laws of conservation of concentration, momentum, energy and mass, have been analysed. In the process of mathematical modelling, assumptions such as a small Reynolds number and extended wavelength are employed. By employing the Homotopy Analysis Method (HAM), the solution to the system of coupled non-linear partial differential equations is obtained analytically, contributing to the identification of expressions for temperature, concentration, and velocity. In the result we observe that the Lorentz force act as resisting force, which reduces fluid motion under magnetic field influence. It is also observed that velocity rises with values that are higher of  Gr and Qr . This phenomenon occurs because higher thermal Grashof number enhances the buoyancy force due to free convection.The results support developments in physiological applications, industrial fluid transport, and biomedical engineering, including blood flow control and focused drug delivery.