In the current investigation, CFD (computational fluid dynamics) code is applied for the three-dimensional simulation of fluid flow and turbulent transferred thermal energy through circular duct with coiled finned wire inserts. The realizable K-ε model will be used for the obtaining the influence of the turbulence. The validation of the model is performed by comparing the numerical Nusselt number with the experimental one. The impact of the various operating parameters i.e. Prandtl and Reynolds numbers and geometric variables i.e. fin height and thickness, coil pitch and wire diameter on the dimensionless exergy loss, thermal efficiency and the dimensionless working power will be obtained. Furthermore, correlations will be suggested to estimate these objective variables as functions of the geometric and operating variables. A new multi-objective optimization way is introduced and applied to obtain the optimal and critical values or range of the input variables in the studied range. Results also show if the Reynolds number increases by 100 % in the study range, the thermal efficiency, the dimensionless exergy loss and dimensional working power reduces by 15.9 %, 9.4 % and 5.9 %, respectively. Furthermore, with doubling pitch, they reduce 17.2 %, 14.9 % and 48.9 %, respectively.

在当前的研究中，CFD（计算流体动力学）代码被用于三维流体模拟和湍流传递热能，该热能通过带有绕线翅片插入件的圆形管道通过。可实现的K-ε模型将用于获得湍流的影响。该模型的验证是通过将数值努塞尔数与实验数值进行比较来进行的。将获得各种操作参数（即Prandtl和Reynolds数）和几何变量（即翅片高度和厚度，线圈节距和线径）对无量纲火用损耗，热效率和无量纲工作功率的影响。此外，将建议相关性来估计这些目标变量，作为几何和操作变量的函数。引入了一种新的多目标优化方法，并将其应用于在研究范围内获得输入变量的最优和临界值或范围。结果还表明，如果在研究范围内雷诺数增加100％，则热效率，无量纲火用损失和尺寸工作功率分别降低15.9％，9.4％和5.9％。此外，间距加倍时，它们分别降低了17.2％，14.9％和48.9％。