This work applies the Constructal Design Method to a row of circular tubes subjected to cross-flows of viscoplastic Bingham fluids to investigate how viscoplasticity affects the system performance and which are the best geometric shapes depending on fluid rheology. The heat transfer density for a fixed pressure drop was the performance indicator, and the step distance between tubes was the degree of freedom for the Constructal Design Method. Combinations of dimensionless parameters Bejan number (10⁴ and 10⁵) and Bigham number (1, 10, and 100) were examined. The dimensionless heat transfer density increased with the increase of Bejan number and decreased with the increase of Bingham number, showing that the increase in yield stress reduces heat transfer as it hinders the flow rate for a constant gauge pressure. The optimal step distance between tubes decreased with the increase of Bejan number as a result of decreasing the boundary layer thickness. The optimal step distance between tubes increased, on average, 25% with the increase in the Bingham number. The best configurations were always of greater step distance between tubes than those found for Newtonian fluids, indicating the gains in performance when applying the Constructal Design Method to systems of non-Newtonian fluids.

这项工作将结构设计方法应用于一排经受粘塑性宾汉流体错流的圆管，以研究粘塑性如何影响系统性能，并且这是取决于流体流变学的最佳几何形状。固定压降下的传热密度是性能指标，管间步距是结构设计方法的自由度。无量纲参数Bejan数的组合（10 ⁴和10 ⁵）和Bigham数（1、10和100）进行了检查。随着Bejan数的增加，无量纲的热传递密度增加，而随着Bingham数的增加，无量纲的热传递密度减小，这表明屈服应力的增加会降低热传递，因为它阻碍了恒定表压下的流量。由于边界层厚度的减小，管之间的最佳步距随着Bejan数的增加而减小。随着宾汉数的增加，管之间的最佳步距平均增加了25％。最佳配置总是在管之间的步距上比在牛顿流体中发现的步距更大，这表明将构造设计方法应用于非牛顿流体系统时性能的提高。