Thermally developing combined magnetohydrodynamic and electrokinetic transport in narrow confinements with interfacial slip

Abstract

In this article, we investigate the combined consequences of magnetohydrodynamic forces and interfacial slip on the heat transfer characteristics of streaming potential mediated flow in narrow fluidic confinements by following a semianalytical formalism. Going beyond the celebrated Debye–Hückel linearization, we obtain a closed form analytical expression for velocity and induced streaming potential through the consistent description of finite conductance of the immobilized Stern layer. We report an augmentation in the streaming potential field as attributable to the wall slip activated enhanced electromagnetohydrodynamic transport of the ionic species within the EDL. In particular, we demonstrate the key role of induced streaming potential in altering thermal transport and Nusselt number variation considering the concurrent interplay of hydrodynamic slip lengths, magnetic effects, viscous dissipation, and Joule heating. We also show the implications of Stern layer conductivity and magnetohydrodynamic influence on system irreversibility through entropy generation analysis due to fluid friction and heat transfer. Finally, our results have significant scientific and technological consequences in the novel design of future generation energy efficient devices and could be useful in further advancement of theory, simulation, and experimental work.