PULSATILE FLOW OF BLOOD UNDER PERIODIC BODY ACCELERATION THROUGH VESSELS OF EXPONENTIAL DIVERGENCE

  • Dr. Itagi Sheebarani
Keywords: Blood, Couple stress fluid, Periodic body acceleration, exponentially diverging vessel.

Abstract

The object of the present investigation is to study the pulsatile blood flow under the influence of periodic body acceleration through an exponentially diverging vessel by considering blood as a couple stress fluid. The effect of body acceleration on the blood flow has been emphasized. Analytical expressions for axial velocity, flow rate and fluid acceleration have been obtained by applying the Laplace and finite Hankel transforms. The velocity variations with different parameters have been shown graphically. The effects of body acceleration a0, Womersely parameter  couple stress parameter  and divergence parameter  on the velocity field have been discussed. The present model gives a most general form of velocity expression from which the other mathematical models can easily be obtained by proper substitutions. It is of interest to note that the velocity expression obtained for the present model includes various velocity expressions for different mathematical models. Finally, the model gives a simple velocity expression for blood flow so it will help not only in the field of physiological fluid dynamics but will also help medical practioners with elementary knowledge of mathematics.

Published
2021-08-27
How to Cite
Dr. Itagi Sheebarani. (2021). PULSATILE FLOW OF BLOOD UNDER PERIODIC BODY ACCELERATION THROUGH VESSELS OF EXPONENTIAL DIVERGENCE. Design Engineering, 4300- 4312. Retrieved from http://www.thedesignengineering.com/index.php/DE/article/view/3808
Section
Articles