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Abstract

Throughout this book, we treat blood as an incompressible fluid, that is, we consider that the blood density does not change. The equation of continuity asserts that if an incompressible fluid flows in a rigid tube with varying cross-sectional area along its length, the volume flow-rate Q(t),which is a function of the time t, takes the same value regardless of where it is measured. If the tube has a cross-sectional area A at a given section, the average longitudinal velocity u(t) at the same section is given by u(t) = Q(t)/A. Consider two sections, 1 and 2, of a rigid tube in which an incompressible fluid is flowing. Let u 1, p 1, and h l be the average velocity, the static pressure, and the height of the tube axis above some fixed horizontal datum at section 1, and u 2, p 2, and h 2, the corresponding quantities at section 2 (Fig. 1.1).

Keywords

Velocity Profile Aortic Valve Deceleration Phase Left Ventricular Outflow Tract Poiseuille Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Japan 1989

Authors and Affiliations

  • Motoaki Sugawara

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