Resistance law for turbulent Couette-Taylor flow and the Lambert W function

Balonishnikov, A. M.; Kruchkova, Julia; Opalikhina, O. V.

doi:10.1088/1757-899x/862/2/022029

Cited by 2 publications

(1 citation statement)

References 8 publications

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“…Two close theoretical approaches to turbulent Taylor -Couette flow have been recently published in [2,3]. A concurrent approach to this problem, based on the extended local balance model [4][5][6][7][8], is being presented here.…”

Section: Introductionmentioning

confidence: 99%

Resistance law dependence on radius ratios for turbulent Taylor-Couette flow from extended local balance model

Balonishnikov

Kruchkova

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Turbulent Couette-Taylor flow is the most interesting kind of flow for theoreticians and experimenters. There are a great number of theories and experiments for larger and larger Reynolds numbers. The picture becomes more complex if we consider the case of independently rotating cylinders. The most simple quantity is a torque, acting on the lateral surface of inner cylinder by rotating fluid. How can we deduce theoretically the torque from Navier-Stokes equation? Unfortunately we have only bounds on this variable yet. So we cause use models of turbulence to predict the torque dependence on Reynolds numbers or Taylor number and on radius ration. Here we present the results of simple calculations, based on extended local balance model. The study compares the theory with experiments.

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Section: Introductionmentioning

confidence: 99%

Resistance law dependence on radius ratios for turbulent Taylor-Couette flow from extended local balance model

Balonishnikov

Kruchkova

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Ultimate resistance law for turbulent Couette-Taylor flow from extended local balance approach

Balonishnikov

Kruchkova

2020

J. Phys.: Conf. Ser.

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The article is focused on one of the ways to apply the generalized local balance turbulence model for Couette-Taylor flow. The ultimate resistance law can be expressed in terms of the Lambert W function, and its asymptotic behaviour at very large Taylor and Reynolds numbers can be easily obtain using the asymptotes of this function. Comparison with the recent theoretical approaches and some experiments are made.

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Resistance law for turbulent Couette-Taylor flow and the Lambert W function

Abstract: The article is focused on an application of generalized local balance turbulence model for Couette-Taylor flow. It is shown that resistance law can be expressed in terms of the Lambert W fuction. Comparison with some known experimental data are given.

Cited by 2 publications

References 8 publications

Resistance law dependence on radius ratios for turbulent Taylor-Couette flow from extended local balance model

Resistance law dependence on radius ratios for turbulent Taylor-Couette flow from extended local balance model

Ultimate resistance law for turbulent Couette-Taylor flow from extended local balance approach

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