The pulsatile blood flow during systole can be simulated by an appropriate combination of steady and oscillatory flow components. Consider a Newtonian incompressible fluid in a tube of radius R = 0.5 cm. Let = 1.06 g/cm', = 4.0 cP. The components of the pulsatile flow are summarized below. The steady component is known to be characterized by the following velocity profile: R dp where the pressure gradient dP/dz is constant and equal to-1 dyn/cm' For this steady component, the (steady) flow rate Qs can be calculated according to the Poiseuille model: 8dz The pulsatile component is composed of two oscillatory solutions (harmonics): . o The first harmonic has frequency f= 1.2 Hz, and the amplitude of the pressure . gradient is (dP/dz), =-10.0 dyn/c o The second harmonic has frequency f= 2.4 Hz, and the amplitude of the pressure gradient is (dPs/dz),- -8.5 dyn/cm For each one of the harmonics, the velogity depends on both the radial coordinate (r) and time (t), according to the Womersley solution