锥形血管入口区域内管壁应力分析
The Stress Analysis of Vessel wall in the Entrance Region of a Tapered Vessel
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摘要: 本文对锥形血管入口区域的流动进行了探讨,导出了压力分布、轴向和径向的速度分布以及流场的切应力分布、管壁应力分布等公式,进行了相应的数值算例的研究和分析,还着重讨论了血管锥度角对管壁应力、压力分布等的影响。Abstract: The present paper deals with the flow in an entrance region of a tapered vessel.Pressure distribution formula, axial and radial distribution formulas,shear stress distribution formula of flow field and shear stress distribution formula of vessel wallare derived. Relative numerical computations are made and analyzed.Discussion of the effects of tapered angle on the pressure distribution and vessel wall stress distribution are emphasized.
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Key words:
- tapered angle /
- shear stress /
- entrance flow
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[1] Schultz. D. L., Pressure and flow in large arteries, in Cardiovasular Fluid Dynamics, Ed. Bergel. Vol. 1 Academic Press. New York(1972). 213-215. [2] 岑人经、秦婵,圆锥形血管中的振荡发展流动,应用数学和力学,14(4) (1993), 301-305. [3] Cen Ren-jing. Liu Bao-sen and N. H. C. Hwang. Developing oscillatory flow in a circular pipe: A new solution, J. Biomech. Eng. Tran. ASME. 109(1987). 340-345. [4] McDonald. D. A., Blond Flaw in Arteries, Edward Arnold Ltd. London(1974).370-373. -
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