Influence of an induced magnetic field on double diffusion convection for peristaltic flow of thermally radiative Prandtl nanofluid in non-uniform channel

Abstract

Mathematical simulation of biological fluids is incredibly significant due to its use in many fields of medicine. Understanding various biological flows requires knowledge of the peristaltic process. Furthermore, nanoparticles play vital roles in several engineering and industrial procedures, including those related to heat exchangers, boilers, cooling systems, chemical engineering, MEMS, cool automobile engines, and laser diode arrays. The major goal of this study is to investigate the mathematical simulation of biological fluids, which holds significant implications in the field of biomechanics. Examples include the understanding of chyme motion in the gastrointestinal tract and the potential application in surgeries to control blood flow by manipulating the intensity of the magnetic field. The present analysis is to explore the peristaltic flow with double diffusion convection of magnetohydrodynamic Prandtl nanofluids in non-uniform channel having thermal radiation and viscous dissipation. The mathematical model is based on equations for continuity, temperature, nanoparticle fraction, momentum, induction, and concentration. The method of long wavelength and low Reynolds number is utilized. The numerical solution for concentration, pressure gradient, nanoparticle volume fraction, stream function, magnetic force function, pressure rise, velocity, and temperature are computed. Then the results of different parameters are represented graphically. The results outcomes are compared with the findings of limiting situations for verification. The main result of the present study is that the fraction of nanoparticles decreases with a rising significance of Dufour and Prandtl numbers because the effects of mass transfer are minimized by the effects of heat transmission. Moreover, a rise in the Dufour number boosts the fluid's temperature because heat is transmitted across boundaries more efficiently.