A Universal Model for Bingham Fluids with Two Characteristic Yield Stresses

TL;DR

This paper introduces a new universal model for Bingham fluids that accounts for complex shear stress-deformation velocity relationships, enabling analysis of flow behaviors with multiple yield stresses.

Contribution

The paper presents a novel, comprehensive model for Bingham fluids with complex yield stress dependence, unifying various special cases and allowing analytical solutions.

Findings

Flow rate behavior characterized for complex Bingham fluids

Model encompasses many special and limiting cases

Analytic calculations are feasible for several scenarios

Abstract

We inroduce a new model for Bingham fluids with a complicated dependence of the deformation velocity on the shear stress. Specific features of the flow rate for such fluid are studied. This model embraces many special and limiting cases, for many of them analytic calculations become possible