Peristaltic flow of Williamson nanofluid on a rough surface

Abstract

The aim of this current research is to investigate the peristaltic flow of Williamson nanofluid across a rough surface in a non-uniform channel under the influence of inclined magnetic field. The Joule heating and viscous dissipation effects are also retained in the current scrutiny. The objective of studying peristaltic flow of Williamson nanofluid on a rough surface is to gain insights into the complex fluid dynamics and heat transfer phenomena occurring in such systems. This knowledge can be used to design more efficient and effective nanofluid-based devices and processes. In the context of mathematical modeling, the appropriate dimensional nonlinear equations for momentum, heat and mass transport are simplified into dimensionless equation by applying the essential estimation of long wavelength and low Reynolds number. The equations subjected to boundary conditions have solved numerically by the Mathematica software built-in numerical Solver ND_solve method. Various essential physical characteristics on velocity, temperature and concentration are presented graphically in the end. It can be seen that fluid velocity decreases at the central part of the channel for the escalting values Hartman number M. As Darcy number Da increases then velocity profile increases at the core part of the channel and the walls of the channel experiencing an opposite behavior. It is noticed that Higher value of Eckert number Ec enhances the temperature profile. When Weissenberg number We gets stronger then temperature profile decreases. It is observed that the temperature and concentration profiles show an opposite behavior for the rising values of thermophoresis parameter [Formula: see text].