Effects of Rheological Parameters of a Viscoplastic Fluid on Peristaltic Pumping in a Cylindrical Tube

H Rachid,M Ouazzani Touhami,S Aniss

doi:10.1051/matecconf/201928609003

H Rachid, M Ouazzani Touhami + Show 1 more

Open Access

https://doi.org/10.1051/matecconf/201928609003

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Abstract

In this paper, we study theoretically the peristaltic transport of a generalized four-parameter plastic fluid in a circular cylindrical tube. The present fluid model is presented for the rheological characterization of inelastic fluid foods. Long wavelength and low Reynolds number approximations are taken into account to get solution. The effects of embedded parameters on pressure rise, frictional force and especially on the mechanical efficiency have been numerically displayed and physically discussed.

Highlights

Viscoplastic materials are fluids that exhibit a yield stress: below a certain critical threshold τ0 in the imposed stresses, there is no deformation and the material behaves like a rigid solid, but when that yield value is exceeded, the material flows like a fluid
The most commonly studied such fluid is the Bingham fluid, which is often uppermost in the minds of the scientists when they think of non-Newtonian fluids
The numerical results of the pressure rise, frictional force and of the mechanical efficiency have been physically interpreted through graphs

Summary

Introduction

Viscoplastic materials are fluids that exhibit a yield stress: below a certain critical threshold τ0 in the imposed stresses, there is no deformation and the material behaves like a rigid solid, but when that yield value is exceeded, the material flows like a fluid Such flow behavior appears in many situations, including slurries and suspensions, certain polymer solutions, crystallizing lavas, muds and clays, heavy oils, avalanches, cosmetic creams, hair gel, liquid chocolate, and some pastes. The suitable model is the so-called HerschellBulkley and it is a true rheological behavior over a sufficiently wide range of shear rates. This three-parameter fluid (μ, τ0 and the power law index n) has been studied bay many authors as in [3, 4]. The numerical results of the pressure rise, frictional force and of the mechanical efficiency have been physically interpreted through graphs

Formulation and analysis

Solution

4: The ratio versus time-averaged flow rate