Comparison between the Cosserat and Classical Mathematical Models for the Pulsative Blood Flow with Spinning Boundry Condition at the Wall

In the classic continous model، assuming velocity field، one can completely define the problem. However، this is not suitable for the analysis of complex flows. On the other hand، according to the non-Newtonian behavior of blood، it seems that the use of theory of micro-polar fluids، based on the Cosserat continous model for the investigation of blood pulsatile fluid، is logical. The goal of this paper is to derive the analytical velocity field for comparison with suitable experimental velocity field in the future. In this paper، a comparison has been carried out between the results of the two Cosserat and classical models according to spinning condition on the wall. Using Laplace and Hankel transformations، we could analytically solve the pulsitive flow of Cosserat fluid.