Mathematical modeling and analysis of nonlinear peristaltic transport in thermally radiative Williamson nanofluids with magneto-diffusive coupling.

Abstract

The present research examines the peristaltic blood flow by applying double diffusive convection confined in a non-uniform channel. The purpose is to study the impact of thermal radiation along with induced magnetic force utilizing the supposition of long wavelength and low Reynolds number. The study covers the impact of thermal radiation and double diffusion which has significant implementation in the public health sector. Moreover, the induced magnetic flux, used in Magnetic Resonance Imaging, is for diagnostic purposes in medicines and in therapies. Thermal radiation impact has been revealed under non-linearized Rosseland assumptions. The basic equations are first designed to simulate and then simplified using appropriate non-dimensional components. The resultant equations are numerically solved to evaluate the solution of pressure gradients, velocity, solute concentration, raise pressure, and nanoparticle volume fraction. The effectiveness of different emerging factors defining non-Newtonian hydrodynamic flow, such as the radiation parameter, Prandtl number, Hartmann number, Eckert number, particle volume fraction, electric field, and non-uniform parameter, is graphically demonstrated. The findings reveal the significant impact of Brinkman number on the temperature of the fluid. Thermal diffusion or conductivity increases with the rise in Brinkman number, and consequently the fluid's temperature increases. On the other hand, the decline in the concentration of the fluid is observed with increased Brinkman number. In addition, an increase in Soret and Dufour numbers also enhances the thermal diffusion and temperature which ultimately raises the fluid temperature. Heat radiation directly affects the concentration causing it to increase.