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Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity

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Summary

This study optimized heat generation bodies (HGBs) using constructal design, balancing maximum temperature difference and entropy generation rate. The TOPSIS method identified the best compromise, achieving a 2% reduction in the complex function.

Keywords:
constructal theoryentropy generation minimizationgeneralized thermodynamic optimizationheat conductionmulti-objective optimizationquadrilateral heat generation body

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Area of Science:

  • Thermodynamics
  • Heat Transfer
  • Engineering Design

Background:

  • Previous literature proposed quadrilateral heat generation bodies (HGBs).
  • Constructal design is a method for optimizing systems with heat transfer.

Purpose of the Study:

  • To perform multi-objective constructal design on quadrilateral HGBs.
  • To minimize a complex function involving maximum temperature difference (MTD) and entropy generation rate (EGR).
  • To analyze the influence of weighting coefficients and compare decision-making methods.

Main Methods:

  • Minimizing a complex function of MTD and EGR.
  • Multi-objective optimization (MOO) using NSGA-II to obtain the Pareto frontier.
  • Decision-making methods including LINMAP, TOPSIS, and Shannon Entropy.

Main Results:

  • Optimal constructal design achieved up to a 2% reduction in the complex function.
  • The complex function reflects a trade-off between thermal resistance and heat transfer irreversibility.
  • The Pareto frontier illustrates the optimization results for different objectives.
  • The TOPSIS method yielded the lowest deviation index (0.127).

Conclusions:

  • Multi-objective constructal design effectively optimizes HGBs.
  • The weighting coefficient influences optimal constructal configurations.
  • TOPSIS is an effective decision-making method for this optimization problem.