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Conditions for flow or no-flow are also determined in the correlation.

The correlation relates a defined friction factor to the dimensionless Reynolds and Hedstrom numbers and can be used to predict pressure drop for flow of a yield stress fluid through a packed bed of spherical particles. The third model parameter is determined from experimental data. Two of the parameters can be deduced in the limit as the yield stress becomes negligible and the model reduces to Ergun’s equation for Newtonian fluids. The resulting model has three parameters that are functions of the geometry and roughness of the particle surfaces. The correlation is developed by introducing the yield stress model in place of the Newtonian model used in deriving Ergun’s equation. In this paper, a correlation is presented for yield stress fluid flow through packed beds. Relatively few correlations are available for non-Newtonian fluid flows through packed beds, even though such fluids are frequently used in industry.