Peristaltic transport of MHD Ree–Eyring fluid through a flexible channel under the influence of activation energy

Abstract

Peristalsis of Ree–Eyring non-Newtonian fluid is significant to investigate the rheological features of biological fluids such as blood, saliva, intravascular fluids, intracellular fluids, and interstitial fluids. As a consequence of this development, the present article explores the cross-diffusive magnetohydrodynamic peristaltic transport of a Ree–Eyring fluid conveying tiny particles through a flexible porous channel under the influence of activation energy. A lubrication approach is adopted to reduce the complexity of the system. The analytical solution is achieved for the velocity field. In addition, the Runge–Kutta-based shooting technique is employed to solve the temperature and fluid concentration equations. Dual solutions are executed for the Newtonian and Ree–Eyring fluid cases and discussed through tabular and graphical findings for several sets of pertinent parameters. In this investigation, it is perceived that an enhancement in the Darcy number optimizes the velocity field. The fluid temperature rises with elevated values of the Brinkman and Dufour numbers whereas the reverse trend is noticed in the fluid concentration field for Soret and activation energy parameters. Moreover, the obtained outcomes are applicable to a variety of fields in the medical sciences and engineering, such as the radiosurgery, the spectroscopy, the optoelectronics, the power conversion devices, and the nuclear reactor cooling.