| PRESSURE AND PRESSURE GRADIENT IN AN AXISYMMETRIC RIGID VESSEL WITH STENOSIS |
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| 作者姓名： | 姚力 李大治 |
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| 作者单位： | College of Science Nantong University Nantong 226001，Jiangsu Province，P. R. China，College of Science Nantong University，Nantong 226001，Jiangsu Province，P. R. China |
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| 基金项目： | Project supported by the Natural Science Foundation of Jiangsu Educational Bureau （No.02KJD180004） |
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| 摘 要： | Based on an improvement of the Karman-Pohlhausen's method, using nonlinear polynomial fitting and numerical integral, the axial distributions of pressure and its gradient in an axisymmetric rigid vessel with stenosis were obtained, and the distributions related to Reynolds number and the geometry of stenotic vessel were discussed. It shows that with the increasing of stenotic degree or Reynolds number, the fluctuation of pressure and its gradient in stenotic area is intense rapidly, and negative pressure occurs subsequently in the diverging part of stenotic area. Especially when the axial range of stenosis extends, the flow of blood in the diverging part will be more obviously changed. In higher Reynolds number or heavy stenosis, theoretical calculation is mainly in accordance with nast experiments.
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| 关 键 词： | 压力梯度 刚性导管 雷诺兹数 非线性多项式 生物力学 器官狭窄 |
| 收稿时间： | 2004-05-08 |
| 修稿时间： | 2005-09-12 |
Pressure and pressure gradient in an axisymmetric rigid vessel with stenosis |
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| Li Yao,Da-zhi Li.PRESSURE AND PRESSURE GRADIENT IN AN AXISYMMETRIC RIGID VESSEL WITH STENOSIS[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):347-351. |
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| Authors: | Li Yao Da-zhi Li |
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| Institution: | College of Science, Nantong University, Nantong 226001, Jiangsu Province, P. R. China |
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| Abstract: | Based on an improvement of the Karman-Pohlhausen's method, using nonlinear polynomial fitting and numerical integral, the axial distributions of pressure and its gradient in an axisymmetric rigid vessel with stenosis were obtained, and the distributions related to Reynolds number and the geometry of stenotic vessel were discussed. It shows that with the increasing of stenotic degree or Reynolds number, the fluctuation of pressure and its gradient in stenotic area is intense rapidly, and negative pressure occurs subsequently in the diverging part of stenotic area. Especially when the axial range of stenosis extends, the flow of blood in the diverging part will be more obviously changed. In higher Reynolds number or heavy stenosis, theoretical calculation is mainly in accordance with nast experiments. |
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| Keywords: | rigid vessel stenosis pressure gradient Reynolds number |
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