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From this finding, the shear friction factor can be evaluated according to lubricant characteristics assigned.
The comparison test results reveal that through fuzzy rules and membership functions, the friction factor can be identified, precisely.
For non-Newtonian fluids in laminar flow, the friction factor can be calculated with the Hagen Poiseuille type equation.
During practical applications, researchers often find that a correct choice of the friction factor can be crucial to make a sound prediction of hydraulic problems.
Results of analysis show that 95% of variation in the friction factor can be described only by Reynolds number and concentration of drag reducing agent and their interactions.
An analytical solution of the Colebrook and White equation for the friction factor can be obtained, using the Lambert W function.
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These friction damping factors can be subtracted from the overall modal damping factors when doing computer simulations where the dynamic friction forces are calculated directly.
Emphasis is put on practical findings, and on proposing simplified expressions for the estimation of the contact enhancement factor and of the equivalent friction factor, that can be used at least for preliminary design purposes.
Notice that to handle different wall roughness and flow rates, Moody friction factor f can be directly added to Godunov scheme and computed in one step applying explicit correlations of f (Bilgesu and Koperna 1995).
Loss sources like gear meshing friction, bearing friction and seal friction can be taken into account.
From the obtained friction factor results, it can be inferred that addition of XG reduced the DR capability of mixed solutions (DR% = 40% and 55%) with respect to 200 wppm HPAM solution.
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