| 极性流体在带有小锥度圆管管道内流动的模型 |
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| 引用本文： | 郑广平 陆章基. 极性流体在带有小锥度圆管管道内流动的模型[J]. 复旦学报(自然科学版), 1999, 38(2): 153-158 |
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| 作者姓名： | 郑广平 陆章基 |
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| 作者单位： | 复旦大学力学与工程科学系 |
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| 基金项目： | 国家自然科学基金,上海市科委基金 |
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| 摘 要： | 讨论了用偶应力流体表示的血液在带有小锥度的刚性圆细管内的流动问题，运用Ｓｔｏｋｅ的偶应力流体理论和Ｂｌｅｕｓｔｅｉｎ与Ｇｒｅｅｎ的双极流体理论，分别导出了轴向速度，径向速度、流量和壁面剪应力的解析式，并作数值计算，分析了管子锥度，偶应力参数和双极参数等对上述有关量的影响。
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| 关 键 词： | 血液流动 小锥度圆管 极性流体 管内流动 |
Polar Fluid Model for Flow Through a Small Tapered Tube |
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| Zheng Guangping,Lu Zhangji. Polar Fluid Model for Flow Through a Small Tapered Tube[J]. Journal of Fudan University(Natural Science), 1999, 38(2): 153-158 |
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| Authors: | Zheng Guangping Lu Zhangji |
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| Affiliation: | Department of Mechanics and Engineering science |
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| Abstract: | In the paper,the steady flow of blood through a small rigid circular tube with small tapering angles is discussed and blood rheology is assumed to be described by couple stress fluid and dipolar fluid. Analytical expressions for flow velocities (both axial and radial),volume flow rate and shear stress at wall are obtained using stokes's couple stress fluid theory and Bleustein and Green's dipolar fluid theory respectively. The numerical computations are performed and the effects of tapered angles and couple stress paramters and dipolar paramters respectively on those quantities above are analyzed. |
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| Keywords: | couple stress fluid dipolar fluid the blood flow a small tapered tube |
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