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Applied Mathematics and Mechanics >

2019 , Vol. 40 >Issue 6: 805 - 822

DOI: https://doi.org/10.1007/s10483-019-2490-9

Articles

Mixture flow of particles and power-law fluid in round peristaltic tube

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  • Institute of Fluid Engineering, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

Received date: 2018-09-18

  Revised date: 2018-12-27

  Online published: 2019-06-01

Supported by

Project supported by the Major Program of National Natural Science Foundation of China (Nos. 11632016 and 91634103)

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Abstract

The erythrocyte and blood flowing in the blood vessel can be treated as the two-phase flow of the mixture of particles and a power-law fluid in a peristaltic tube. In the present work, the peristaltic transport of a power-law fluid and the suspension of particles in a tube is investigated by a perturbation method using the long wavelength approximation. The influence of different parameters on the velocity profile and streamlines is explored. Results show that there is a deflection of the flow field when the power-law index n=0.5 or 1.5 compared with the Newtonian fluid where the trapping zone is symmetric to a certain cross section. The flux rate and reflux of the material are identified, and the conditions under which the reflux appears are determined. Moreover, a reflux phenomenon occurs near the wall. The trapping zone is related to not only the tube geometry and the flow flux but also the fluid properties. Both the length and width of the trapping zone increase with an increase in θ or φ. The trapping zone is more difficult to produce in the shear-thinning fluid than the shear-thickening fluid.

Key words： Shallow shell; buckling; semi-analytic method; peristaltic transport; two-phase flow; trapping phenomenon; power-law fluid; perturbation method

Cite this article

Hailin YANG, Jianzhong LIN, Xiaoke KU . Mixture flow of particles and power-law fluid in round peristaltic tube[J]. Applied Mathematics and Mechanics, 2019 , 40(6) : 805 -822 . DOI: 10.1007/s10483-019-2490-9

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