ANÁLISIS DEL PROBLEMA CONJUGADO DE TRANSFERENCIA DE CALOR EN UN MICROCANAL PARA UN FLUJO ELECTROOSMÓTICO DE UN FLUIDO DE LEY DE POTENCIA

Abstract

The problem related to heat transfer in steady state from non Newtonian fluids in a microchannel from parallel flat plates under the influence of electro-osmotic strengths is solved numerically and analytically in this work. The flow is considered hidrodynamically developed and with a constitutive power-law model. From the numerical solution we get the temperature field in the fluid of the microchannel wall, showing the influence from the dimensionless parameters involved in the analysis such as: a flow behavior index, to describe the power-law fluid; an electrokinetic parameter to indicated the thickness of the Debye length; the Peclet number, as indicator of heat transfer convection; a normalized power generation term, being the ratio of heat flow from an external wall to the Joule heating, a conjugate term that considers, which represent the competition between longitudinal conductive heat in the microchannel to the convective heat transfer in the fluid; geometric aspect ratios of the microchannel and the solid wall, respectively. Additionally is observed the excellent agreement between the numerical and asymptotic solution to the Nusselt number for different conditions in the conjugated heat transfer process.