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幂律流体通过矩形管道的阻力流和压力流的校正因子。

Correction factors for the drag and pressure flows of power-law fluids through rectangular ducts.

作者信息

Marschik Christian, Roland Wolfgang

机构信息

Competence Center CHASE GmbH Linz Austria.

Institute of Polymer Processing and Digital Transformation Johannes Kepler University Linz Linz Austria.

出版信息

Polym Eng Sci. 2023 Jul;63(7):2043-2058. doi: 10.1002/pen.26344. Epub 2023 May 12.

DOI:10.1002/pen.26344
PMID:38516562
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10952955/
Abstract

There are many industrial examples of low Reynolds number non-Newtonian flows through rectangular ducts in polymer processing. They occur in all types of manufacturing processes in which raw polymeric materials are converted into products, ranging from screw extrusion to shaping operations in dies and molds. In addition, they are found in numerous rheological measurement systems. The literature provides various mathematical formulations for non-Newtonian flows through rectangular ducts, but-if not simplified further-their solution usually requires use of numerical techniques. Removing the need for these time-consuming techniques, we present novel analytical correction factors for the drag and pressure flows of power-law fluids in rectangular flow channels. We approximated numerical results for a fully developed flow under isothermal conditions using symbolic regression based on genetic programming. The correction factors can be applied to the analytical theory that describes the flow of power-law fluids between parallel plates to include effects of the side walls in the prediction of flow rate and viscous dissipation.

摘要

在聚合物加工过程中，存在许多低雷诺数非牛顿流体通过矩形管道流动的工业实例。它们出现在所有将原始聚合物材料转化为产品的制造过程中，从螺杆挤出到模具和铸模中的成型操作。此外，它们还存在于众多流变测量系统中。文献中提供了各种用于非牛顿流体通过矩形管道流动的数学公式，但如果不进一步简化，其求解通常需要使用数值技术。为了消除对这些耗时技术的需求，我们提出了用于矩形流道中幂律流体曳力流和压力流的新型分析校正因子。我们基于遗传编程，使用符号回归对等温条件下充分发展流动的数值结果进行了近似。这些校正因子可应用于描述幂律流体在平行板间流动的分析理论，以在预测流速和粘性耗散时纳入侧壁的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/a65632d06f8e/PEN-63-2043-g010.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/79a44f01f6b1/PEN-63-2043-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/26efdc327cd5/PEN-63-2043-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/3bcb96d3c363/PEN-63-2043-g004.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/e25f1d21b116/PEN-63-2043-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/a65632d06f8e/PEN-63-2043-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/4564e10f3751/PEN-63-2043-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/86e76630d72c/PEN-63-2043-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/693b3ba280fd/PEN-63-2043-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/eb9da801e939/PEN-63-2043-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/03fa1621cb53/PEN-63-2043-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/79a44f01f6b1/PEN-63-2043-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/26efdc327cd5/PEN-63-2043-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/3bcb96d3c363/PEN-63-2043-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/b5bb86969578/PEN-63-2043-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/e25f1d21b116/PEN-63-2043-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aac7/10952955/a65632d06f8e/PEN-63-2043-g010.jpg

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本文引用的文献

1
Leakage-Flow Models for Screw Extruders.螺杆挤出机的泄漏流模型
Polymers (Basel). 2021 Jun 9;13(12):1919. doi: 10.3390/polym13121919.
2
Application of Network Analysis to Flow Systems with Alternating Wave Channels: Part A (Pressure Flows).网络分析在具有交替波通道的流动系统中的应用：A部分（压力流）。
Polymers (Basel). 2019 Sep 12;11(9):1488. doi: 10.3390/polym11091488.
3
Extended Regression Models for Predicting the Pumping Capability and Viscous Dissipation of Two-Dimensional Flows in Single-Screw Extrusion.用于预测单螺杆挤出中二维流动的泵送能力和粘性耗散的扩展回归模型
Polymers (Basel). 2019 Feb 14;11(2):334. doi: 10.3390/polym11020334.