Prediction of Velocity Profile in Fluid in Which Yield Stress Varies With Depth

A method for predicting the velocity profile in a one‐dimensional, slow moving, laminar fluid in which yield stress varies with depth is presented in this paper. The governing equations are solved for two types of yield stress gradients [$τ0=τaYb$ and $τ0=a(Y−La)$]. The depth of the flowing layer and velocity profile are given as algebraic equations in these cases. A yield stress gradient can exist whenever high concentrations of fine‐grained solids are settling and compacting (e.g., dredged material containment area, high‐rate settler).