A Semi-Analytical Semi-Experimental Solution for Flow Simulations in COSSERAT Continuum Mechanical Approach to Pulsatile Blood Flow in a Tapered Femoral Artery of a Dog

Khani, Sina; Atefi, Gholamali

doi:10.1080/01932690903271715

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2011

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“…Thus, a nonlinear optimization process may be employed to calculate these coefficients on the basis of experimental data. [16] To depict Equations (25) and (26) let us to have an equation for c v based on other two material coefficients. With scalingv z %U, x h % U D and r%D, where Uis the inlet core velocity.…”

Section: Resultsmentioning

confidence: 99%

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

Khani

Atefi

Soleimani

2011

Journal of Dispersion Science and Technology

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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 c v has also been found.

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Section: Resultsmentioning

confidence: 99%