Laminar flow modeling of different nano fluids around a flat plate fin for geometry optimization of a heat sink

This paper presents a mathematical modeling for geometry optimization of a rectangular cross-section flat plate fin using different nano fluids with water as based fluid. Flow impinging on the fin is considered laminar. The effects of Reynolds number, volume fraction of nanoparticles, particle size, inlet velocity and different average temperature on the geometry optimization of the fin are investigated. A rectangular flat plate fin is made from copper with high thermal conductivity. Various nanofluids with different volume fractions and different nanoparticle sizes are studied. In this analysis, as a basic assumption, the length of the fin is taken larger than the width and the fin volume is considered constant. Then, width of the fin will be optimized. The results indicated that the highest and the lowest optimized width is related to gold and silicon dioxide nano fluids respectively.