Keywords:-

Keywords: Peristaltic flow, Non-Newtonian fluid, Vertical tube, Velocity, Volumetric flow rate, Pressure rise.

Article Content:-

Abstract

This paper deals with the non – Newtonian Prandtl fluid flow in a vertical tube. Blood flow is considered for the peristaltic blood flow. The study is motivated towards investigating the physiological flow of blood in the circulatory system. The velocity profile, flow rate, pressure gradient are investigated by using appropriate analytical and numerical method. The series solutions of axial velocity and pressure gradient are given by using regular perturbation technique when prandtl number is small. The computational results are present in graphical form. It is observe that, the pressure gradient increases with increasing values of ε, φ, and α. This paper also revealed that size of bolus reduces with increasing the amplitude ratio whereas it is unaltered with other parameters. Physiological implications of this mathematical and theoretical modeling to blood flow situations are also included in brief.

References:-

References

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Shah, S. R., Siddiqui, S., & Singh, A. (2016). Mathematical modeling of peristaltic blood flow through a vertical blood vessel using prandtl fluid model. International Journal Of Mathematics And Computer Research, 4(09), 1622-1630. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/71