Calculation of pipe frictional pressure loss for non-Newtonian fluids
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1. I would like to ask about the calculation of frictional pressure loss in pipelines for non-Newtonian fluids. I referred to a certain literature, which treats such fluids as Bingham plastic fluids for its calculations. I would like to know from those with more experience: in engineering design, what role do the yield stress τB and the stiffness coefficient η play? How are they typically determined, and what are their common values? (The attached figure shows the calculations for the examples in the literature; the attachments contain the references.) I was also unable to find the references for that literature. 2. If seniors have conducted any research on this topic, I would be very grateful if you could share your insights. Any standards or calculation procedures for non-Newtonian fluid calculations that you may have used would also be greatly appreciated; I’d be thankful for any discussions on this subject as well!
The calculation of pipe frictional loss for non-Newtonian fluids is more complex than that for Newtonian fluids, because the viscosity of non-Newtonian fluids changes with shear rate. A commonly used calculation method involves employing a viscosity function, along with empirical formulas such as the Reynolds number and friction factor. It is necessary to select an appropriate model based on the viscoelastic properties of the fluid, such as the Bingham plastic model, the Herschel-Bulkley model, etc. In practical applications, software tools such as ANSYS Fluent can also simulate the flow and pressure loss of non-Newtonian fluids. .