Blasius-type Friction Equation for Yielding Fluids Based on Extended Kolmogorov Microscales

Abstract eng:
In previous works [1-2], the extension of the Kolmogorov K41 theory for purely viscous power-law fluids was developed. In the present work, the same procedure is used to find Kolmogorov microscales for yielding fluids. This idea is applied for Bingham plastic rheology and the related scales are derived. As a direct application a friction equation is developed for Bingham fluids by relating the purposed velocity scale and friction factor using a phenomenological model for turbulence. Comparing the new Blasius-type friction equation with experimental results shows a good agreement.

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