Abstract

Several formulae have been proposed for treating non-newtonian pipe flow friction data, and with one exception they rely in some way on laminar data for predicting turbulent data. Perhaps the most widely accepted and quoted of these formulae is that due toDodge andMetzner (2) which is also stated to be rigorous. Some consideration is given to theDodge-Metzner equation which seems to show that far from being rigorous it is not valid for real fluids. Moreover the formula ofBowen (1), which is the exceptional case not requiring laminar flow data, gives superior correlations and is, therefore, to be preferred. Using a diameter independence hypothesis andBowen's, formula it is possible to find an expression for the turbulent velocity profile. This is checked indirectly by comparing the theoretical and experimental friction factors. In a number of cases (but not all) the comparison is favourable.

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