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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

Most of the earlier studies intended on the peristaltic pumping of non-Newtonian fluids via channels/tubes to better know the flow activities of flowing systems. The extant effort is modeled to examine the peristaltic motion of the viscoelastic fluid through a cylindrical tube to characterize the rheological features of blood in the vascular system by incorporating the electro-osmotic phenomenon. Caputo's definition provides analytical solutions to the dilemma. To evaluate the potential function, the Debye–Huckel linearization approximation is utilized. The long-wavelength (δ ≪ 1) and low Reynolds number approximations (Re → 0) are used to simplify the simultaneous equations. The effects of physical constraints depicting the flow phenomena are obtained and conferred via graphs. The impact of several regulatory elements is deliberated and exposed in a succession of figures. The significant outcome of the result is that the pressure gradient is consistently enhanced as the external electric field strength increases. It is also observed that the growing applied electric field strength can control the negative value of the pressure gradient. This work is relevant to the electrophoresis in hematology, electrohydrodynamic therapy, and biometric electro-osmotic pumps. The present results provide a significant baseline for experiment analyses and more general models of microvascular blood flow. [ABSTRACT FROM AUTHOR]

This paper examines the effect of joule heating and MHD on peristaltic blood flow of a Eyring–Powell nanofluid in a non-uniform channel. The transport equations involve the combined effects of Brownian and Thermophoresis diffusion of nanoparticles. The mathematical modelling is carried out by utilizing long wavelength and low Reynolds number assumptions. The energy equation is modelled by taking joule heating effect. The resulting nonlinear system of partial differential equations is solved for the stream function, velocity, pressure gradient, concentration and temperature distributions with the help of the Homotopy Analysis Method. The effect of various physical parameters on the flow characteristics is shown and discussed with the help of graphs. Pressure gradient gives opposite behaviour with increasing values of Eyring–Powell fluid parameters A and B. Pressure gradient decreases by increasing Hartman number and joule heating. Nanoparticle concentration increases with increasing thermophoresis parameter, but the reverse trend is observed with the effect of Brownian motion parameter. [ABSTRACT FROM AUTHOR]