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THMT-15. Proceedings of the Eighth International Symposium On Turbulence Heat and Mass Transfer
September, 15-18, 2015, Sarajevo, Bosnia and Herzegovina

DOI: 10.1615/ICHMT.2015.THMT-15


ISBN Print: 978-1-56700-427-4

ISBN CD: 978-1-56700-428-8

Friction equation for purely viscous non-Newtonian fluids from Kolmogorov's theory

pages 151-154
DOI: 10.1615/ICHMT.2015.THMT-15.180
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摘要

This paper extends Kolmogorov's theory of turbulent flow of Newtonian fluids to purely viscous non-Newtonian fluids. The premises developed in the K41 theory are modified to account for non-Newtonian effects. It can be shown that only the first similarity hypothesis needs to be changed, which results in a new set of micro-scales. Also, the (-5/3)-law remains unchanged. As a direct engineering application of the extended theory, a Blasius-type friction equation is proposed for PVNN fluids. This result follows naturally from an examination of the relation between micro and meso-scales.

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