Simulation of Flow Field for Pulsatile Blood Flow in a Femoral Artery Based on Cosserat Continua

Abstract

This investigation describes unsteady, pulsatile, laminar, and locally fully developed blood flow velocity and rotation fields during cardiac cycle in the femoral artery using Cosserat continuum mechanics approach. After solving the continuity, linear momentum, and angular momentum equations for flow of blood through artery, the time and position dependent velocity and rotation fields have been calculated. It is shown that the maximum values of velocity occur at the inlet core, while the maximum values of rotation occur on the arterial boundary. It is also demonstrated that the flow of blood in artery is laminar and a good agreement with existing data is established. A time dependent Gaussian equation for non-Newtonian blood viscosity coefficient γ_v has also been found.

Keywords:

• Cosserat continua
• locally fully developed flow
• micropolar fluid
• unsteady blood flow

Acknowledgments

We wish to thank Prof. Rupak K. Banerjee for his papers' availability. Special thanks is also extended to Prof. Seyed Mohammad Hasheminejad for reviewing this article and his useful suggestions. We also appreciate the consideration of Ms. Shima Fardad and Mr. Mohammad Faraji Gh.