Heat Transfer and Fluid Flow through Microchannels – a theoretical approach

Three dimensional heat transfer and water flow characteristic in a set of rectangular microchannel heat sinks for advanced electronic systems investigated in this paper. The full Navier-Stoke’s approach is employed for this kind of narrow channels for the water flow assessments. The complete form of the energy equation accompanying the dissipation terms is also linked to the momentum equations. The calculated thermal distribution show good agreements with the corresponding experimental predictions. Then these results are compared with porous medium approach in small dimensions. In this approach microchannel is modeled as a fluid-saturated porous medium, and is numerically solved based on the Forchheimer-Brinkmanextended Darcy equation for the fluid flow and two equation model for heat transfer between the solid and fluid phase. Key-Words: Porous mediumMicrochannel heat sinkHeat transferVelocity profile.