Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation

ZHANG Wei; ZHANG Wenpu

doi:10.21656/1000-0887.410267

Volume 42 Issue 5

May 2021

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ZHANG Wei, ZHANG Wenpu. Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation[J]. Applied Mathematics and Mechanics, 2021, 42(5): 470-480. doi: 10.21656/1000-0887.410267

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Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation

doi: 10.21656/1000-0887.410267

School of Aeronautics and Astronautics, Zhejiang University,Hangzhou 310027, P.R.China

Received Date: 2020-09-08
Rev Recd Date: 2020-11-16
Publish Date: 2021-05-01

Abstract

Abstract

(With the Schwarz-Christoffel transformation method, a conformal mapping from a unit circle to a polygonal domain in the complex plane was obtained. Based on the mapping combined with the Womersley algorithm theory for fully developed pulsating flow in a circular pipe, a Womersley velocity boundary model with a non-circular inlet section was established. For this boundary model, the computational fluid dynamics (CFD) method was used to simulate the blood flow in the human pulmonary artery secondary branch based on physiological reality in a cardiac cycle, and the results were compared with those obtained from the connected circular tube method. The analysis of examples indicates that, the simulation results of the 2 methods are highly consistent, but in the aspects of simulation efficiency and certainty, the Womersley velocity boundary model based on the S-C mapping is better than the connected circular tube method, and has more practical significance for the simulation of vascular hemodynamics.
- Schwarz-Christoffel transformation,
- Womersley boundary condition,
- numerical simulation

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References(17)

References

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