Effect of electro-magneto-hemodynamic environs on dispersion of solute in the peristaltic motion through a channel with chemical reaction, wall properties and porous medium

The present paper sheds some light on the problem of dispersal of a solute in electro-magneto-hydrodynamic peristaltic flow of Jeffrey fluid in a uniform channel filled with porous medium and compliant walls. Using long wavelength approximation and Taylor’s limiting condition, the homogeneous and heterogeneous chemical reaction have been analysed. The effects of physiological parameters such as the electro osmotic velocity, electro kinetic, Jeffrey fluid parameter, Hartmann number, Darcy measure, velocity slip parameter and the wall complaint parameters on the Peristaltic movement have also been investigated. The numerical results have been computed and visibly discussed with respect to assorted values of pertinent physical parameters. It pointed out first time, that the average equivalent dispersion coefficient (dispersion of a solute) is significantly reduced due to increase in the electro osmotic velocity and electro-kinetic parameter. Further, the chemical reaction parameters and Hartmann number slow down the dispersion mechanism but Darcy number, velocity slip parameter and amplitude ratio parameters tend to increase the average equivalent dispersion coefficient. Another notable result is that the damping parameter of the wall \(\left( {E_{2} } \right)\) and wall mass characteristic parameter \(\left( {E_{1} } \right)\) increase the dispersion nature of the solute whereas it is reduced by increasing the rigidity nature of the wall \(\left( {E_{3} } \right)\), the spring stiffness parameter of the wall (\(E_{5}\)) and the wall tension (\(E_{4}\)). Further, dispersion nature on different waveforms in the peristaltic transport has been studied. The present analytical study provides useful information to artificial bio-processors.