Influence of thermal radiation on peristaltic blood flow of a Jeffrey fluid with double diffusion in the presence of gold nanoparticles

Abstract

This study considers the influence of thermal radiation on peristaltic motion with double diffusive convection of gold nanoparticles through an asymmetric channel under the long wavelength and low Reynolds number assumption. The effect of thermal radiation and double diffusion is an important area of medical research due to its application to the public health. Infrared radiation techniques are used to treat many skin-related diseases. They can also be used as a thermotherapy in some bones to enhance blood circulation. To restore the homeostasis of thermal regulation, infrared saunas can be utilized for medical treatment. In this work, the theory of peristaltic motion, the heat flux using a linear approximation, and thermal radiation are incorporated to consider the flow problem. This approximation is possible only where the temperature difference is small within the fluid flow. The mathematical model described includes partial differential and basic governing equations, which are solved by an analytical approximation known as the Homotopy Analysis Method (HAM). Solutions are obtained for velocity, temperature, solutal (species) concentration profile, and nanoparticle volume fraction profile. The results for velocity profile, temperature profile, pressure rise, solutal (species) concentration profile, and nanoparticle volume fraction for different physical parameters are discussed through graphs. The major outcome of this research is that the impact of thermal radiation on blood flow in the presence of gold nanoparticles increases the temperature profile, which may be assistive in destroying cancer cells during the drug delivery process. Keywords: Thermal radiation, Double diffusion, Gold nanoparticles, Peristaltic flow, Jeffrey fluid, Asymmetric channel