Entropy Generation and Impacts of Activation Energy with Electroosmosis of Couple Stresses on the Peristaltic Transport of Bingham Blood Nanofluid

Abstract In this theoretical paper, an analysis is undertaken to explore the peristaltic transition of a non-Newtonian Bingham nanofluid within a non-uniform microchannel oriented horizontally. This inquiry investigates the entropy generation arising from the flow of magnetohydrodynamic (MHD) and the accompanying heat transport. This theoretical investigation addresses the behavior of an electrically conductive fluid influenced by electroosmotic flow, incorporating the effects of couple stresses and Darcy law with a heat generation scheme. To bolster the robustness of the study, an activation energy term is incorporated into the nanoparticle concentration using both a modified Arrhenius model and a Buongiorno-type approach. The assumptions of long wavelengths and low Reynolds numbers are applied to change the complex equations that describe fluid motion into ordinary ones. The homotopy perturbation mechanism is utilized to solve the derived neutralized equations. The findings reveal that the critical velocity escalates with an augmentation in both the electroosmotic parameter and the regularization parameter. Moreover, the elevation of the heat absorption parameter and thermophoresis contributes to the augmentation of the temperature profile. Additionally, it is noted that an augmentation in the activation energy parameter has a positive impact on the concentration approach. This consideration recognizes broad applicability in both clinical and industrial settings. This research is beneficial in micro-fabrication mechanisms, reservoir engineering, and the chemical industry, where electro-osmotic energy and mass exchanges play a crucial role.