Abstract
This paper investigates the topology optimization of planar cooling channels using a low-cost multilayer thermofluid model. A novel three-layer model including the upper/lower cover-plate layers and the central solid-fluid mixing layer is proposed. The flow boundary layer effect and the heat transfer effect in the thickness direction are modeled as the flow coupling and thermal coupling effects between adjacent layers, respectively. Particularly, in order to estimate more accurate temperature fields, the constructed three-layer heat transfer model in the solid-fluid mixing channel is derived based on the assumption of adaptive temperature profiles in the thickness direction. Further, based on the three-layer thermofluid model, the porosity field is introduced to describe the channel’s topology, and the corresponding topology optimization scheme is presented. Several optimized channels under different constraints and boundary conditions are shown and discussed in comparison. Optimized channels show streamlined boundaries and reasonable layouts and exhibit competitive heat dissipation performance. Parametric studies are conducted to analyze the effectiveness and reliability of the topology optimization scheme. Further, to evaluate the accuracy and efficiency of the proposed three-layer model, optimized channels are simulated with the full 3D model and previous low-cost models. The proposed three-layer model exhibits good consistency with the full 3D model while achieves great improvement in efficiency.
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Acknowledgments
The author thanks Prof. Krister Svanberg for the use of the MMA optimizer.
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This work was supported in part by the National Natural Science Foundation of China under Grant 51677104.
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The authors have attempted to explain the method and implementation issues in detail. All numerical examples are implemented with homemade MATLAB codes and COMSOL files. Along with the revised manuscript, we submit the main MATLAB code for optimization problem 3 in Section 4.2. The main processes and details of the multilayer optimization model are shown in the code file. It should be noted that, when running the MATLAB code with “COMSOL Multiphysics with MATLAB”, the corresponding COMSOL document which contains the multilayer optimization model of problem 3 is generated in your current working directory. The remaining examples are very easy to implement by changing some corresponding parameters (inlet pressure, volume fraction, etc.).
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Zhao, J., Zhang, M., Zhu, Y. et al. Topology optimization of planar cooling channels using a three-layer thermofluid model in fully developed laminar flow problems. Struct Multidisc Optim 63, 2789–2809 (2021). https://doi.org/10.1007/s00158-021-02842-1
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DOI: https://doi.org/10.1007/s00158-021-02842-1