Herschel-Bulkley Model Parameter Fitting
Calculation of the consistency index (K) and the coefficient of determination (R²) for the Herschel-Bulkley rheological model, based on previously obtained regression parameters and sums of squares.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Consistency index (K)
- Pa s^n
- Pa s^n
Coefficient of determination (R_squared)
- dimensionless
- dimensionless
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The Herschel-Bulkley model describes the shear-stress response of non-Newtonian fluids that exhibit a yield stress, a power-law viscous behavior, and possible shear-thinning or shear-thickening. In process engineering, this model is used to size pumps, design mixers, and predict pressure drops in pipelines for various slurries and polymer solutions. Accurate parameter fitting is crucial for reliable scale-up from laboratory rheometry to industrial equipment.
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