Description of Invention
This study investigates the complex interplay of particle migration and viscous dissipation in a microchannel heat sink using a porous medium approach where a 6% vol. TiO/water nanofluid is applied as the working fluid for two different porosities, namely 0.5 and 0.9. For porosity 0.5, the velocity distribution exhibits a flatter profile due to flow resistance arising from a lower permeability. Lower ratio of Brownian and thermophoretic diffusivities, Nbt values lead to steeper velocity gradients as nanoparticles migrate to cooler regions. A Brinkman number, Br of 5 results in a less pronounced velocity gradient as it encourages greater nanoparticle migration toward the central region. Solid temperature remains unaffected, given the high thermal conductivity in silicon. Concentration profiles closely follow temperature trends. A porosity of 0.9 results in lower flow resistance, leading to higher velocities and reduced viscous heat generation, consequently leading to a temperature profile that is less uniform.