Numerical analysis on thermal performance of a trapezoidal micro-channel heat sink using an improved version of the augmented ε-constraint method

This work proposes the use of an improved version of the augmented ε-constraint method (AUGMENCON2) for the analysis of the thermal performance of a micro-channel heat sink. In order to highlight the strength and the effectiveness of this new approach, a trapezoidal micro-channel heat sink has been considered. The geometrical configuration namely the micro-channel widths and depth are the main variables considered in this study. Surrogate models based on the response surface methodology have been adopted to approximate the thermal resistance and the pumping power which provide an indication of the thermal performance of the micro-channel heat sink. A two-objective nonlinear problem have been formulated and implemented within the general algebraic modelling system. Global Pareto optimal solutions have been computed using the proposed method. Despite being a relatively straightforward method, the AUGMENCON2 provides a reasonable level of accuracy and shortens the required computational time in comparison to two existing approaches.