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本文提出以理想不可压流体驱动工作时,人工心室内血液流的数学模型。这个模型基于如下的假定:血液考虑为粘性均匀的牛顿不可压流体;心室膜片与入口的瓣膜是旋转对称的。对血液的流动可描述为具有旋转对称的三维N-S方程组 (?) 其中 (?) Vz,Vτ——线血流速度的轴向与径向分量, ψ,W——流函数与旋量函数, Re——雷诺数。方程组(1)的边界条件取为人工心脏的膜片表面与入口的瓣膜。在计算的区域内,取均匀的矩形网格,而且将
In this paper, we propose a mathematical model of artificial ventricular blood flow when driving with ideal incompressible fluid. This model is based on the assumption that the blood is considered as a viscous Newtonian incompressible fluid and that the valve of the ventricular membrane and inlet valve are rotationally symmetric. The flow to the blood can be described as a rotationally symmetric three-dimensional Navier-Stark equations (?) Where Vz, Vτ are the axial and radial components of the blood flow velocity, ψ, W - the flow and spin functions , Re-- Reynolds number. The boundary condition of equation (1) is taken as the valve surface of the artificial heart and the inlet valve. In the calculated area, take a uniform rectangular grid, and will be