极性流体在带有小锥度圆管管道内流动的模型  

Polar Fluid Model for Flow Through a Small Tapered Tube

作　　者：郑广平[1] 陆章基[1] 

机构地区：[1]复旦大学力学与工程科学系

出　　处：《复旦学报（自然科学版）》1999年第2期153-158,共6页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金;上海市科委基金

摘　　要：讨论了用偶应力流体和双极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Ｓｔｏｋｅｓ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。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.

关 键 词：血液流动 小锥度圆管 极性流体 管内流动 

分 类 号：R318.01[医药卫生—生物医学工程] O373[医药卫生—基础医学]