A modern study on peristaltically induced flow of Maxwell fluid considering modified Darcy’s law and Hall effect with slip condition

Abstract

The current investigation is designed to scrutinize the Peristalsis of Magneto-hydrodynamics viscous-elastic (Maxwell) fluid with slip condition. The present article is beneficial in a way to understand the Hemodynamics through the arteries, and capillaries by considering the Hall current characteristics. Since the wall shear stress of Maxwell fluid is less as compared to Newtonian fluid hence it exhibits blood flow characteristics. Moreover, modified Darcy’s law is also taken into consideration. The phenomena of heat and mass transport are developed in the light of the thermal conduction mechanism given by Fourier along with viscous-dissipation. The governing system of ODEs is found to be non-linear. To achieve the series solution for considered flow problem, perturbation scheme is used by considering small wavenumber. The graphical impact of influential parameters is discussed exhaustively and graphically. The key outcome of this study is that the Hall current and slip both alter the flow fields. Additionally, it has been observed that temperature and velocity profiles show comparable behaviours for various parameters. The slip parameter has an increasing effect on fluid motion and temperature. The bolus’s size gradually becomes larger as we increase the values of both velocity slip and hall parameter. According to the author's knowledge, no research had previously been done in the literature that specifically addressed the peristalsis of viscoelastic fluid considering the Hall and porosity effect with slip conditions. The current investigation fills the breach in this area of research.

Keywords

• Peristalsis
• MHD
• Hall effects
• Maxwell fluid
• Slip condition
• Modified Darcy’s law