# Herschel-Bulkley fluid

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The Herschel-Bulkley fluid is a generalized model of a non-Newtonian fluid. Generally, the stress of the fluid is related to the strain in a nonlinear way. In the Herschel-Bulkley model, the fluid is characterized by the consistency $k$, the flow index $n$, and yield shear stress $\tau_0$. The consistency is a constant of proportionality, and the flow index is a measure of non-linearity in the stress-strain curve - that is, how shear-thinning or shear-thickening the fluid is. The yield stress is the amount of stress the fluid must experience before it begins to flow.