Pressure Drop Prediction for Slurries Exhibiting Bingham Plastic Rheology

4 Pressure Drop Prediction for Slurries Exhibiting Bingham Plastic Rheology 

As with slurries following a power-law flow model, it is necessary to reliably predict the pressure drop in a horizontal pipe of diameter D under laminar, fully developed flow conditions. A fundamental analysis of the Bingham plastic model yields the following expression for the mean velocity in terms of the yield stress Ty and the wall shear stress tq. 

If the ratio Ty/tq is small, as it often is, the mean velocity for the Bingham slurry can be approximated by the linear expression 

By expressing tq in terms of AP and rearranging, the relationship between the pressure drop and the average velocity can be obtained 

In the case of zero yield stress, Ty = 0, the Hagen-Poiseuille equation results. 

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