New assessment of friction factor correlations for power law fluids in turbulent pipe flow: A statistical approach
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A new statistical approach to assessing the friction factor correlations was presented. Fourteen correlations, published from 1959 to 2003, were collected to calculate friction factors for power law fluids in turbulent pipe flow. A series of Fanning friction factors, f, were computed from these equations. Then the relations between the calculated values of f and ReMR (Metzner-Reed Reynolds number) were analyzed, when the rheological behavior index, n, was given. To verify the foregoing analysis result, in addition, the relations between the calculated values of f and n were analyzed, when ReMR was given. The f value calculated from each equation was compared with each mean value of all the f values from the 14 equations, when each combination (n, ReMR) (n ranging from 0.4 to 1.4 and ReMR from 4 000 to 100 000) was set. The comparison results were surveyed in the relative deviation table of the calculated f values. It shows that the overall mean relative deviation (OMRD) of the Dodge-Metzner correlation is the minimum, 1.5%. Therefore, the Dodge-Metzner correlation is recommended for predicting the friction factors for the turbulent pipe flow of power law fluids.
Key wordsfriction factor turbulence power law fluids hydraulic analysis fluid mechanics
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