A number of correlations for friction factor determinations in smooth pipes have been proposed in the past decades. The accuracy and applicability of these friction factor formulas should be examined. Based on this notion the paper is designed to provide a comparative study of friction factor correlations in smooth pipes for all flow regimes of Bingham fluids. Nine models were chosen. The comparisons of the selected equations with the existing experimental results, which are available in the literature, were expressed through MARE, MRE+ , MRE- , RMSE, Ѳ, and S. The statistical comparisons were also carried out using MSC and AIC. The analyses show that the Wilson-Thomas (1985) and Morrison (2013) models are best fit models to the experimental data for the Reynolds number up to 40000. Within this range, both models can be used alternately. But beyond this Re value the discrepancy of the Wilson-Thomas model is higher than the Morrison model. In view of the fact that the Morrison model requires fewer calculations and parameters as well as a single equation is used to compute the friction factor for all flow regimes, it is the authors’ advice to use this model for friction factor estimation for the flow of Bingham fluids in smooth pipes as an alternative to the Moody chart and other implicit formulae.
An experimental investigations on the effect of convergence of stream lines on the Darcy and non-Darcy parameters for different radial lines for different ratios of the radii was studied in a convergent flow permeameter. The applicability of a resistance law relating friction factor and Reynolds number using the square root of intrinsic permeability as the characteristic length is examined for flow with converging boundaries. In this study, crushed rock of size 3.25 mm and 4.73 mm were used as media and water as fluid, to develop curves relating friction factor and Reynolds number for different radial lines with different ratios of the radii. and V konvergentnom permeametri sme experimentálne skúmali vplyv konvergencie prúdnic na Darcyovské a nedarcyovské charakteristiky prúdenia. Pre prúdenie v pórovitom prostredí s konvergujúcimi hranicami sme zisťovali použiteľnosť zákona odporu, ktorý dáva do súvislosti súčiniteľ trenia a Reynoldsovo číslo, používajúc druhú odmocninu vnútornej priepustnosti ako charakteristickú dĺžku. Pre získanie kriviek závislostí medzi súčiniteľom trenia a Reynoldsovým číslom pre rôzne hydraulické polomery a rôzne pomery hydraulických polomerov sme použili drvenú horninu s veľkosťou zŕn 3,25 mm a 4,73 mm, tekutinou bola voda.