An Application of Gradient Theory to Blood Flow  Fulltext 

[ Mansoor Alizadeh ] - Assistant Professor Mechanical Engineering Department Iran University of Science and Technology, Tehran, Iran
[ Mohsen Mazidi ] - Instructor Mechanical Engineering Department, Islamic Azad University, Bafgh Branch, Yazd, Iran
[ Mohammad Mazidi ] - MSc Student Mechanical Engineering Department Iran University of Science and Technology, Tehran, Iran

خلاصه مقاله:

In this paper, we present a gradient theory of grade two, based on an axiomatic conception of a non-local continuum theory for materials of grade n. In the case of isotropic materials both the tensor of rank two and three are tensor-valued functions of the second order strain rate tensor and its first gradient so that the equation of motion is of order four. The necessary boundary conditions for real (dissipative) boundaries are generated by using the so-called porosity tensors. This theory is applied to a pulsatile Blood flow in a tapered femoral artery of a dog. On the basis of these
experimental data, the material and porosity coefficients are identified by numerical algorithms such as least squares.

Gradient Theory, Grade Two, Blood, Non- Newtonian Fluid.