Study of variable magnetic field and endoscope on peristaltic blood flow of particle-fluid suspension through an annulus

Abstract

Purpose

In this article, the effects of variable magnetic field and endoscope on peristaltic motion of non-Newtonian blood flow of particle-fluid suspension through an annulus have been studied. The non-uniform annulus having incompressible, irrotational and electrically conducting fluid which is filled with rigid particles of different shapes. An assumption of long wavelength and zero Reynolds number approximation is applied to model the governing flow problem. A sinusoidal wave is traveling on the outer tube whereas the inner tube is considered as rigid and moving with a constant velocity.

Methods

The expressions of velocity (u _f , u _p ) and pressure gradient have been obtained analytically and closed form solutions are presented. Numerical computation has been performed using symbolic computational software "Mathematica" to calculate the expressions for pressure rise and friction forces for outer and inner tube.

Results and Conclusions

The influence of all the physical parameters is discussed for pressure rise and friction forces. It is found that pressure rise increases due to the influence of magnetic field. It is also observed that friction forces for outer tube have greater magnitude as compared to friction forces for the inner tube. When the fluid depicts non- Newtonian behavior, then the pressure rise also diminishes. Moreover, the presence of particles in a fluid tends to resist the pressure. Higher values of Hartmann number diminish the friction forces significantly, however the friction forces for outer tube has greater magnitude as compared to inner tube. The present results are also presented for Newtonian fluid by taking λ ₁ →0, as a special case of our study.

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