Peristalsis of Fractional Second Grade Fluid in the Presence of Electro Osmotic Phenomenon with Heat and Mass Transfer

Abstract

MRI method is used in magnetic resonance imaging (MRI) to diagnose brain disorders by detecting the changing conditions within the brain. Peristaltic waves created on the flexible walls of the brain cause particles to move, and understanding this fluid flow can benefit the treatment of malignant tissues. In light of this, the electro-osmotic impact on the peristaltic flow of a fractional second grade fluid (ionic solution) in a microchannel with a heat and mass transfer is investigated. The governing equations of the modulated problem can be solved analytically by assuming a low Reynolds number (R_e → 0) and a long wavelength (δ << 1). An analysis of the Poisson-Boltzmann equation is considered to examine the electro-kinetic mechanism. Using the Mathematica program, we solved a set of dimensionless equations and displayed the generated graphs. We analyzed relevant factors for their impacts on temperature, velocity, and pressure gradient. Biomedical engineers may find inspiration to create bio-microfluidic devices that aid in the movement of physiological fluids based on the model and its related findings.