Simple calculation of the velocity profiles for pulsatile flow in a blood vessel using mathematica

Conclusion The numerical solution of Womersley flow can provide important physical insights to the student of Biofluid dynamics. This computer program is less than 70 lines and can be entered rapidly without extensive knowledge of Mathematica. Through manipulations, the effect of changes in the unsteadiness parameter, Reynolds number, and waveform shape on the pulsatile hemodynamics in straight tubes, can be explored. The exercise reinforces the importance of unsteady forces on the complex processes of physiologic flow and illustrates the usefulness of computers in fluid mechanics analyses.