Constructal Optimization of Liquid Cooling Channels With Circular Section in a Cylindrical Heating Body
An integrated model of heat source and heat sink,in which circular section isothermal liquid cooling channels are embedded in a cylindrical heating body with uniform heat generation,is established.Based on the constructal theory,given the cross-sectional area of cylindrical heating body and the ratio of channel cross-sectional area as the constraints,the influence of the distribution of liquid cooling channels on the heat dissipation capacity of the integrated model is studied with the number and the radius of liquid cooling channels as design variables,and the optimal constructs with the different ratios of cross-sectional area of liquid cooling channels are obtained.When the ratio of channel cross-sectional area and the number of channels are given,there are optimal center distances,which make the overall heat dissipation performance of heat source-heat sink reach the optimal,but the optimal center distances corresponding to the two indexes are different.When the ratio of cross-sectional area of channels is given,the dimensionless maximum temperature and the dimensionless entransy equivalent thermal resistance decrease with the increase of channel number.When the number of channels is given,the dimensionless maximum temperature and the dimensionless entransy equivalent thermal resistance decrease with the increase of the ratio of cross-sectional area of channels.The results obtained in this paper can provide theoretical guidelines for the thermal design of efficient cooling of cylindrical devices.
constructal theoryentransy theoryheat dissipation of electronic devicesthermal designgeneralized thermodynamic optimization
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