Fully-Developed Thermal Transport in Combined Pressure and Electro-Osmotically Driven Flow in Microchannels

TLDR: In this article, the authors analyzed the thermal transfer performance of combined electro-osmotic and pressure driven flow in a circular microtube and derived the solution for the fully developed, dimensionless temperature profile and corresponding Nusselt number.

Abstract: Thermally fully-developed heat transfer has been analyzed for combined electro-osmotic and pressure driven flow in a circular microtube. The two classical thermal boundary conditions of constant wall heat flux and constant wall temperature were considered. Such a flow is established by the combination of an imposed pressure gradient and voltage potential gradient along the length of the tube. The induced flow rate and velocity profile are functions of the imposed potential gradient, electro-osmotic mobility of the fluid, the ratio of the duct radius to the Debye length, the established streamwise pressure gradient, and the fluid viscosity. The imposed voltage gradient neuritis in Joule heating in the fluid, with an associated distributed volumetric source of energy For this scenario, the solution for the fully developed, dimensionless temperature profile and corresponding Nusselt number have been determined