International Scientific Journal


Topology optimization modifies the material distribution in the design domain to produce micro-channel structure with improved thermal performance. In this work, five heat dissipation micro-channel structures with various design domain aspect ratios are optimally designed based on the bi-objective topology optimization method. The optimal design variable fields, temperature fields, and pressure fields are subsequently obtained for each operating condition, and the flow heat transfer effect and the enhanced heat transfer mechanism are investigated under various working conditions. On this basis, the flow heat transfer impact of micro-channels under various operating situations is optimized and studied by combining the field synergy concept and entransy dissipation theory. The findings show that when the Reynolds number rises in the laminar flow region, the complexity of the topological flow channels also rises. The average temperature, Tave,decreases, Nusselt number rises, the inlet and outlet pressure drop, ΔP, gradually increases, the integrated enhanced heat transfer factor PEC gradually decreases, the field synergy number, Fc, increases, the pressure drop synergy angle, θ, gradually increases, the entransy dissipation, Evh, increases, and the flow heat transfer performance of each heat dissipation channel is also enhanced due to the complex channels and high Reynolds number in the domain. The investigation of micro-channels with various topologies revealed that the micro-channels with the same boundary conditions and a design domain aspect ratio of 25/64 had the best synergy effects of velocity-pressure gradient and velocity-temperature gradient, the best heat transfer effect, and the best flow characteristics.
PAPER REVISED: 2023-09-14
PAPER ACCEPTED: 2023-09-16
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THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 1, PAGES [611 - 626]
  1. O'Connor, P. D. T., Arrhenius and Electronics Reliability, Quality and Reliability Engineering International, 5 (1989), 4, p. 255
  2. Tuckerman, D. B., Pease, R. F. W., High-performance Heat Sinking for VLSI, Ieee Electron Device Letters, 2 (1981), 5, pp. 126-129
  3. Adham, A. M., et al., Thermal and Hydrodynamic Analysis of Micro-Channel Heat Sinks: A Review, Renewable and Sustainable Energy Reviews, 21 (2013), May, pp. 614-622
  4. Lin, Z., et al., Heat Transfer Augmentation Characteristics of a Fin Punched with Curve Trapezoidal Vortex Generators at the Rear of Tubes, Thermal Science, 26 (2022), 4B, pp. 3529-3544
  5. Deng, D., et al., Experimental and Numerical Study of Thermal Enhancement in Reentrant Copper Micro-Channels, International Journal of Heat and Mass Transfer, 91 (2015), Dec., pp. 656-670
  6. Zhu, Q., et al., Effects of Geometric Parameters on Fluid-Flow and Heat Transfer in Micro-Channel Heat Sink with Trapezoidal Grooves in Sidewalls, Thermal Science, 26 (2022), 4B, pp. 3641-3651
  7. Fang, Y., et al., Numerical Study on Heat and Flow Transfer Characteristics in Rectangular Mini-Channel with S-Shaped Turbulator Inserted, Thermal Science, 27 (2022), 4A, pp. 2865-2877
  8. Ansari, D., Kim, K., Performance Analysis of Double-Layer Micro-channel Heat Sinks under Non-Uniform Heating Conditions with Random Hotspots, Micromachines, 8 (2017), 2, 54
  9. Lei, Y., et al., Computational and Experimental Investigation of Condensation Flow Patterns and Heat Transfer in Parallel Rectangular Micro-Channels, International Journal of Heat and Mass Transfer, 149 (2020), 119158
  10. Wei, J., et al., Heat Transfer Enhancement by Sinusoidal Wavy Tape Insert in Two-pass Ribbed Channels, Thermal Science, 26 (2022), 6A, pp. 4657-4668
  11. Hiep, H. C., et al., Impact of Fin Geometry and Surface Roughness on Performance of aImpingement Two-Phase Cooling Heat Sink, Applied Thermal Engineering, 198 (2021), 117453
  12. Bendse P. M., Kikuchi, N., Generating Optimal Topologies in Structural Design Using a Homogenization Method, Computer Methods in Applied Mechanics and Engineering, 71 (1988), 2, pp. 197-224
  13. Borrvall, T., Petersson, J., Topology Optimization of Fluids in Stokes Flow, International Journal for Numerical Methods in Fluids, 41 (2003), 1, pp. 77-107
  14. Wang, G., et al., Design and Performance Enhancement of Thermal-Fluid System Based Onpology Optimization, Applied Mathematical Modelling, 116 (2023), Apr., pp. 168-186
  15. Yaji, K., et al., Topology Optimization in Thermal-Fluid-Flow Using the Lattice Boltzmann Method, Journal of Computational Physics, 307 (2016), Feb., pp. 355-377
  16. Xia, Y., et al., Numerical Investigation of Micro-Channel Heat Sinks with Different Inlets and Outlets Based Onpology Optimization, Applied Energy, 330 (2023), Part A, 120335
  17. Zhang, M., et al., Numerical Simulation and Analysis of Lithium Battery Heat Dissipation Based on Multi-Objective Optimization, Thermal Science, 27 (2023), 4A, pp. 2839-2851
  18. Anqi, Z., et al., Topology Optimization for a Water-Cooled Heat Sink in Micro-Electronics Based on Pareto frontier, Applied Thermal Engineering, 207 (2022), 118128
  19. Guo, Z. Y., et al., The Field Synergy (Coordination) Principle and its Applications in Enhancing Single Phase Convective Heat Transfer, International Journal of Heat and Mass Transfer, 48 (2005), 9, pp. 1797-1807
  20. Guo, Z., et al., Entransy - A Physical Quantity Describing Heat Transfer Ability, International Journal of Heat and Mass Transfer, 50 (2007), 13-14, pp. 2545-2556
  21. Ting, Z., et al., Topology Optimization of Regenerative Cooling Channel in Non-Uniform Thermal Environment of Hypersonic Engine, Applied Thermal Engineering, 219 (2023), Part A, 119384
  22. Matsumori, T., et al., Topology Optimization for Fluid-Thermal Interaction Problems under Constant Input Power, Structural and Multidisciplinary Optimization, 47 (2013), Feb., pp. 571-581
  23. Stolpe, M., Svanberg, K., An Alternative Interpolation Scheme For Minimum Compliance Topology Optimization, Structural and Multidisciplinary Optimization, 22 (2001), Feb., pp. 116-124
  24. Fridolin, O., Henrik, B., Scaling Behavior of Optimally Structured Catalytic Micro-Fluidic Reactors, Physical Review E, Statistical, Non-Linear, and Soft Matter Physics, 75 (2007), 016301
  25. Lazarov, B. S., Sigmund, O., Filters in Topology Optimization Based on Helmholtz-Type Differential Equations, International Journal for Numerical Methods in Engineering, 86 (2011), 6, pp. 765-781
  26. Jianhong, Z., et al., Thermal Design of Micro-Channel Heat Sinks Using a Contour Extraction Based Onpology Optimization (CEBTO) Method, International Journal of Heat and Mass Transfer, 189 (2022), 122703
  27. Fan, J. F., et al., A Performance Evaluation Plot of Enhanced Heat Transfer Techniques Oriented for Energy-Saving, International Journal of Heat and Mass Transfer, 52 (2009), 1-2, pp. 33-34

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence