Effects of time Dependent acceleration on the flow of Blood in Artery with periodic body acceleration

Amit Gupta; Dr. GajendraSaraswat; Dr. Ravendra Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V53P549

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 5 | Year 2018 | Article Id. IJMTT-V53P549 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P549

Effects of time Dependent acceleration on the flow of Blood in Artery with periodic body acceleration

Amit Gupta, Dr. GajendraSaraswat, Dr. Ravendra Singh

Abstract

The aim of this paper is to develop a mathematical model describing the effect of time dependent acceleration with periodic body acceleration on the flow of blood in an artery. The flowing blood is treated to be Newtonian in character and the analytical solutions are obtained for this blood flow problem. The solution valid for the fast oscillations and a small external acceleration, are obtained for the velocity, flux and stress field. A computational analysis for the fluid mechanics of blood flow is also performed for the assumed situation. The effect of periodic body acceleration on the instantaneous flow rate, acceleration and shear stress are obtained and observed that it increases if we increase the magnitude of periodic body acceleration.

Keywords

Blood flow, arteries, accelerated motion, body acceleration and periodic external acceleration.

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Citation :

Amit Gupta, Dr. GajendraSaraswat, Dr. Ravendra Singh, "Effects of time Dependent acceleration on the flow of Blood in Artery with periodic body acceleration," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 5, pp. 409-415, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P549