The effects of various shapes of boehmite alumina nanoparticles including platelets, blades, cylindrical and bricks, mixed with water, on the thermo-economic characteristics of a fin tube heat exchanger (FTHE) are explored. Multi-objective optimization is applied for two objective functions including effectiveness and total annual cost (TAC). For this aim, nine design variables involving particle concentration are considered. Variations of nanofluid properties including viscosity, conductivity and Prandtl number versus particle volume fraction for various nanoparticle shapes are investigated. It is resulted that in the high range of effectiveness (ε > 0.6), Pareto fronts of bricks shape are almost dominated on the other shapes of nanoparticles. It is also demonstrated that Pareto fronts of blades are completely captured on the other Pareto fronts in the fixed value of TAC for the region with medium effectiveness (0.4 < ε < 0.6). Finally, the impacts of design parameters on the effectiveness are discussed for the optimum Pareto fronts.

探索了各种形状的勃姆石氧化铝纳米颗粒（包括薄片，叶片，圆柱体和砖块，与水混合）对翅片管热交换器（FTHE）的热经济特性的影响。多目标优化适用于两个目标函数，包括有效性和年度总成本（TAC）。为此，考虑了涉及颗粒浓度的九个设计变量。研究了各种粘度的纳米流体特性的变化，包括粘度，电导率和普朗特数与颗粒体积分数的关系。结果是在高范围内的有效性（ε > 0.6），砖状的帕累托锋线几乎在其他形状的纳米粒子上占主导地位。还证明了在中等有效区域（0.4 < ε  <0.6）下，叶片的帕累托锋面在TAC的固定值中被其他帕累托锋面完全捕获 。最后，讨论了最佳帕累托前沿设计参数对有效性的影响。