A COSSERAT Continuum Mechanical Approach to Steady Flow of Blood through Artery

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

“…In this article, we improve the conditions and limits of Moosaie and Atefi [11] to a real and natural problem of blood flow in an artery.…”

“…[13] In 2007, an exact closed-form solution to the Hagen-Poiseuilli flow of a Cosserat fluid in the artery was obtained by Moosaie and Atefi. [11] This class of fluids can support the couple stress, the body couples, and the nonsymmetric stress tensor; as well, it possess a rotation field, which is independent of the velocity field. The rotation field is no longer equal to the half of the curl of the velocity vector field.…”

“…[5] Another model is the biviscosity model, which states that blood has non-Newtonian behavior in small shear rates and Newtonian behavior in large shear rates; this model was used successfully by Nakamura and Sawada. [6,7] If the microstructure of the material is mechanically significant and the theory of simple materials cannot solve the problem-which is the case in flow of blood-a more sensitive continuum theory such as multipolar, nonlocal, micropolar, and gradient theories [4,[8][9][10][11] is needed.…”

Analysis of Pulsatile Blood Flow in an Elastic Artery Using the Cosserat Continuum Mechanical Approach

“…Riahi and Curran [17] developed a three-dimensional finite element Cosserat theory formulation within the principles of continuum mechanics in the small deformation layered framework. Moosaie and Atefi [18] present a description of steady blood flow in an artery by a Cosserat continuum mechanical approach. They assumed the artery's wall to be a rigid body and a solution to the Hagen-Poiseuilli flow of a micropolar fluid in an artery was obtained.…”

The Exact Specification for Consumption of Blood Pressure Regulating Drugs with a Numerical Model of Pulsatile Micropolar Fluid Flow in Elastic Vessel

“…Previous scientific studies on micropolar fluid were limited to the solution of pulsatile flow in rigid vessels [15][16][17], but in the present paper, the ALE formulation for pulsatile micropolar fluid flow in elastic artery has been discretized to model the FSI problem for blood flow in artery. Also the numerical code of its transformed equations has been figured out.…”