A simple model for the simulation of the hydraulic behaviour and heat transfer of a single micro channel is formulated, assessed and optimized. The model is based on a thermally developing flow regime. The results of the optimization show that a reduction of 7.8% in thermal resistance can be achieved using non-uniform channels instead of uniform channels. Furthermore, the assumptions of the simple model are validated by comparing the results with a more accurate, numerical model. It is shown that the simple model is sufficiently accurate to simulate the hydraulic and thermal behaviour of micro channels as such. However, the effective improvement of channel width optimization cannot accurately be determined by the analytical models.

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