Impact of nonlinear thermal radiation on peristaltic pumping of different shaped nanoparticles of copper in curved wavy channel

Abstract

The main objective of this research is to investigate the experimental [28] verified correlations of the thermophysical characteristics of copper nanoparticles of different shapes that are incorporated in the equations. It is a vital mechanism in many physiological processes, including blood circulation and digestion. The rhythmic contractions and relaxations of a tube define this biological phenomenon. This study investigates the electrical conducting nanofluids flow in a curved channel in the presence of natural convection. Furthermore, the different shapes of copper nanoparticles, such as spheres, blades, and platelets, are examined. A modification of the energy equation is accomplished by the use of viscous dissipation, joule heating, and nonlinear thermal radiation. The modelled equation of the problems is a highly nonlinear partial differential equation. These equations are converted into nonlinear dimensionless ordinary differential equations by using dimensional variables, assuming a small Reynolds number, and a long wavelength. The numerical technique is employed in Mathematica via NDSolve to obtain the results. Results indicate that platelet-shaped nanoparticles have a substantial influence on temperature, pressure, and velocity compared to spherical and blade-shaped nanoparticles. For the platelet-shaped nanoparticle, the nonlinear thermal radiation and Hartmann number exhibit opposite behavior for fluid and heat flow.