Constructal design of a composite heatsink with microchannels and arrow-shaped inner fins based on entransy theory
摘要
A composite heatsink model with microchannels and arrow-shaped inner fins is developed. Performance analyses and constructal design of the model are conducted with given total volume of the arrow-shaped fins via constructal theory and entransy theory. The dimensionless pumping power consumption, dimensionless entransy dissipation rate and weighting sum composite function of them are minimized, respectively. The results show that reducing aspect ratio of the fin and inlet Reynolds number will significantly reduce the pumping power consumption and increase entransy dissipation rate of heatsink. Dimensionless entransy dissipation rate reaches a quadratic minimum at the value of 0.909. Compared with the same size of microchannel heatsink without fins, it is reduced by 30.43%. When the aspect ratio is 8 and the longitudinal spacing difference is − 0.05 mm, the composite function reaches a quadratic minimum at the value of 0.973. Compared with the initial values, the composite function and pumping power consumption are decreased by 2.70% and 11.61%, respectively, and entransy dissipation rate is increased by 6.25%. The major innovation herein is building a composite heatsink model with microchannels and arrow-shaped inner fins, and introducing entransy theory into its constructal design. Results herein can provide references for structure designs of composite heatsinks.