Analytical study on liquid-solid particles interaction in the presence of heat and mass transfer through a wavy channel

A comprehensive study is presented on the liquid and solid particles interaction propagating through a finite symmetric wavy channel. A non-Newtonian power law model is used to determine the flow behavior with heat and mass transfer. Furthermore, a mathematical model for electro-osmotic flow with Magnetohydrodynamics effects has been presented. The mathematical model comprises on two-dimensional conservation equations for momentum, energy, concentration, continuity with Ohm's law, chemical reaction, electrokinetic body force and viscous dissipation are formulated with the help of Cartesian coordinate system. The electric field terms are formulated into electrical potential terms using Debye length approximation, Nernst-Planck equation, and Poisson-Boltzmann equation. Moreover, an approximation of long wavelength and small Reynolds number have been used to obtain the final equations for velocity, concentration, and temperature distribution. Series solutions are presented for velocity, concentration, and temperature distribution with the help of Homotopy perturbation method up to second order. The graphical results are presented against all the involved parameters. Applications for the present study involves hemodynamics flow in biomedical engineering as well as thermal electro-osmotic micro-pumps. Furthermore, the present study is also relevant to improve thermal process in microfluidics, electrophoretic process in physiology and chromatography.