A fin serves as an extended surface to enhance the heat transfer from a larger heated mass to which it is attached. We use a multiobjective optimization (MO) approach for a fin in steady-state to analyze the dynamics of effectiveness and efficiency simultaneously. Our approach is based on a piecewise linear approximation of the design. We use the \(\epsilon\)-constraint method of MO to identify Pareto points for effectiveness and efficiency and hence the Pareto design of the fin. We conduct several numerical experiments using the fmincon routine from the MATLAB. The numerical experiments show that our approach provides a unique interaction between effectiveness and efficiency independent from the initial profiles within the user-defined tolerance range of the fmincon routine.

鳍片用作延伸的表面，以增强从附着鳍片的较大加热块传热。我们对稳态鳍使用多目标优化（MO）方法，以同时分析有效性和效率的动态。我们的方法基于设计的分段线性近似。我们使用MO的\（\ epsilon \）约束方法来识别有效性和效率的帕累托点，从而确定鳍的帕累托设计。我们使用MATLAB中的fmincon例程进行了一些数值实验。数值实验表明，我们的方法在有效性和效率之间提供了独特的交互作用，而与fmincon例程的用户定义公差范围内的初始配置文件无关。