TED-AJ03-343 FULLY-DEVELOPED THERMAL TRANSPORT IN COMBINED PRESSURE AND ELECTRO-OSMOTICALLY DRIVEN FLOW IN MICROCHANNELS

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Thermally fully-developed, heat transfer has been analyzed for combined electro-osmotic and pressure driven flow in a circular microtube under imposed constant wall heat flux boundary condition. 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 Debye length and the duct radius, the established streamwise pressure gradient, and the fluid viscosity. The imposed voltage gradient results 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. The fully-developed Nusselt number is found to depend on the Debye length/duct radius ratio (termed the relative duct radius), the dimensionless volumetric source, and a dimensionless ratio which characterizes the relative strengths of the two driving mechanisms. This ratio can take on both positive and negative values, depending on the signs of the streamwise voltage and pressure gradients imposed. The fully-developed temperature distributions and Nusselt number are strongly dependent on the ratio of imposed potentials, dimensionless source, and the relative duct radius. Analytical results are presented and discussed for a range of the governing dimensionless parameters.
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TED-AJ03-343 FULLY-DEVELOPED THERMAL TRANSPORT IN COMBINED PRESSURE AND ELECTRO-OSMOTICALLY DRIVEN FLOW IN MICROCHANNELS

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