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Physics of Fluids : A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow

By Grigory Isaakovich Barenblatt

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Book Id: WPLBN0002169580
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 18 September 2008

Title: Physics of Fluids : A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow  
Author: Grigory Isaakovich Barenblatt
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
2008
Publisher: American Institute of Physics

Citation

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Barenblatt, G. I. (2008). Physics of Fluids : A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow. Retrieved from http://netlibrary.net/


Description
Description: Drag reduction, or the mean velocity increase in a turbulent flow at a fixed pressure drop through the addition of tiny amounts (several parts per million) of high-molecular-weight polymers (Thoms effect), has been known already for more than 60 years. Long ago it was understood that this effect is related to supramolecular structures formed in the flow. Recent experiments by Chu, Shaqfeh, and associates, where the motion of supramolecular structures was directly observed, made it possible to understand and quantify the dynamic interaction of the polymeric structures with the solvent (water) flow. These results lead to the construction of a mathematical model of the Thoms effect, based on the Kolmogorov (1942)–Prandtl (1945) semiempirical theory of shear flow turbulence. This is the subject of the present letter.

 

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