Greetings, the following sources could be usefull for your research:
Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J. Asymptotic analysis of blood flow in stended arteries: time dependency and direct simulations. ESAIM Proceedings, Vol. 30, 2010: 70-89.
Milnor W. “Hemodynamics”. 2nd edition. Williams & Wilkins, Baltimore USA: Williams & Wilkins, 1989
Olufse, M., Peskin, C., Kim, W. Y., Pedersen, E. Nadim, A., Larsen, J. Numerical Simulation and Experimental Validation of Blood Flow in arteries with structured tree outflow conditions. Annals of Biomedical Engineering. Vol. 28, 2000:1281-1299
The velocity profile is strongly dependent on the artery of interest. It is not the same pulsatile flow in the coronary arteries than in the basilar artery for example. You have to be careful with this. Morphology, Re number and Womersley number are very important parameters to consider. If you want to dig into the velocity profile within an artery, check the papers of Womersley and other CFD-based studies that actually varied the velocity profile (like a flat, a parabolic or a Womersley profile [1]). IMO, the previous refs that were suggested do not deal with this.
1.Moyle, K. R., L. Antiga, and D. A. Steinman. Inlet conditions for image-based CFD models of the carotid bifurcation: is it reasonable to assume fully developed flow? J. Biomech. Eng. 128:371–9, 2006.
If you are looking for flow boundary conditions, you have several options based on physiological assumptions like WSS=1.5Pa, Re=100 to 300 or a given blood flow rate. All of them are dependent on the artery of interest as I said before. For the ICA and the vertebral arteries you might check these papers [2, 3, 4]
2.Cebral, J. R., M. A. Castro, C. M. Putman, and N. Alperin. Flow-area relationship in internal carotid and vertebral arteries. Physiol. Meas. 29:585–94, 2008.
3.Ford, M. D., N. Alperin, S. H. Lee, D. W. Holdsworth, and D. A. Steinman. Characterization of volumetric flow rate waveforms in the normal internal carotid and vertebral arteries. Physiol. Meas. 26:477–88, 2005.
4.Hoi, Y., B. A. Wasserman, Y. J. Xie, S. S. Najjar, L. Ferruci, E. G. Lakatta, G. Gerstenblith, and D. A. Steinman. Characterization of volumetric flow rate waveforms at the carotid bifurcations of older adults. Physiol Meas. 31:291–302, 2010.