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arXiv 2007.01759physics.flu-dyncs.CE
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双流体换热器的拓扑优化

Topology Optimization of Two Fluid Heat Exchangers

Lukas Christan Høghøj, Daniel Ruberg Nørhave, Joe Alexandersen, Ole Sigmund, Casper Schousboe Andreasen

摘要:

提出了一种基于密度的双流体换热器拓扑优化方法。优化过程的目标是在每个流体流的最大压降约束下,最大化从一种流体到另一种流体的热传递。使用单个设计变量来描述物理场。固体界面和流体域是使用基于腐蚀膨胀的识别技术生成的,该技术保证了良好分离的流体以及它们之间的最小壁厚。在层流稳定流动的假设下,两种流体分别建模,但在整个计算域中使用Brinkman惩罚技术,以确保各自流体子域之外的速度可以忽略不计。热传递使用对流扩散方程建模,其中对流由两种流体流动驱动。一个稳定的有限元离散用于解决控制方程。两个不同的问题的结果:一个二维的例子说明和验证的方法;和一个三维的例子,启发管壳式换热器。与基线设计相比,两种情况下的优化设计均显示出改善的传热。对于管壳式的情况下,全自由度拓扑优化的方法被证明在相同的压降下,产生高达113%的性能改善。

英文摘要:

A method for density-based topology optimization of heat exchangers with two fluids is proposed. The goal of the optimization process is to maximize the heat transfer from one fluid to the other, under maximum pressure drop constraints for each of the fluid flows. A single design variable is used to describe the physical fields. The solid interface and the fluid domains are generated using an erosion-dilation based identification technique, which guarantees well-separated fluids, as well as a minimum wall thickness between them. Under the assumption of laminar steady flow, the two fluids are modelled separately, but in the entire computational domain using the Brinkman penalization technique for ensuring negligible velocities outside of the respective fluid subdomains. The heat transfer is modelled using the convection-diffusion equation, where the convection is driven by both fluid flows. A stabilized finite element discretization is used to solve the governing equations. Results are presented for two different problems: a two-dimensional example illustrating and verifying the methodology; and a three-dimensional example inspired by shell-and-tube heat exchangers. The optimized designs for both cases show an improved heat transfer compared to the baseline designs. For the shell-and-tube case, the full freedom topology optimization approach is shown to yield performance improvements of up to 113% under the same pressure drop.

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