Pulsatile Flow in a Rigid Tube

  • M. Zamir
Part of the Biological Physics Series book series (BIOMEDICAL)


Flow in a tube in which the driving pressure varies in time is governed by Eq.3.2.9, namely,
$$\rho \frac{{\partial u}}{{\partial t}} + \frac{1}{\rho }\frac{{\partial p}}{{\partial x}} = \mu \left( {\frac{{{\partial ^2}u}}{{\partial {r^2}}} + \frac{1}{r}\frac{{\partial u}}{{\partial r}}} \right)$$
Providing that all the simplifying assumptions on which the equation is based are still valid, the equation provides a forum for a solution in which the pressure p is a function of x and t while the velocity u is a function of r and t. Before obtaining this solution, it is important to reiterate the assumptions on which the equation is based, because these assumptions define the idealized features of the flow that the solution represents.


Pressure Gradient Phase Angle Steady Flow Pulsatile Flow Circular Cross Section 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • M. Zamir
    • 1
  1. 1.Department of Applied MathematicsUniversity of Western OntarioLondonCanada

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