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Mathematical Analysis of Pulsatile Flow of Blood in Bifurcation with Varying Frequency
Ashwini M Rao,  Sathisha A B,  K S Basavarajappa
Mathematical Model for carotid artery bifurcation with flow direction ratio ( I : E ) at the apex is studied in the present paper. Study consists the blood flow in Y model with flow rate ( I : E ) = 70% : 30% between internal carotid artery (ICA) and external carotid artery (ECA) respectively from the neck of the common carotid artery (CCA). The behavior of periodic dependent pulsatile flow, a representative normal carotid artery bifurcation wave form is imposed at the common carotid artery (CCA). To produce a representative constant flow split between ICA and ECA, fully developed velocity profile is applied in CCA. Peak systolic and end diastolic pressures are compared with cardiac cycle. The flow under consideration is associated with the difference between Reynold’snumber at a different radius of the artery leads to the flow stability breaks and forms the vortex at the junction of bifurcation. This is most possible case when there appears sudden change in the artery diameter. This behavior is numerically studied using Strouhal’s number which is given by St = f × R V̅. Pressure at the apex and velocity profiles under steady pulsatile wave form have been studied with frequency variations on each location in the direction of the flow. Peak systolic and diastolic pressures have been studied for 34 time steps. Series solution method is employed to study the governing equations of motion with perturbations on the characterizing physiological parameters.
Keywords- Artery, pulsatile, flow, velocity, blood
Unique Identification Number - IJEDR2003038Page Number(s) - 237-242Pubished in - Volume 8 | Issue 3 | August 2020DOI (Digital Object Identifier) -    Publisher - IJEDR (ISSN - 2321-9939)
Cite this Article
Ashwini M Rao,  Sathisha A B,  K S Basavarajappa,   "Mathematical Analysis of Pulsatile Flow of Blood in Bifurcation with Varying Frequency"
, International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.8, Issue 3, pp.237-242, August 2020, Available at :http://www.ijedr.org/papers/IJEDR2003038.pdf