Open AccessResistance law dependence on radius ratios for turbulent Taylor-Couette flow from extended local balance model
Author(s) -
А. М. Балонишников,
Julia Kruchkova
Publication year - 2022
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1227/1/012001
Subject(s) - taylor–couette flow , turbulence , reynolds number , radius , mechanics , flow (mathematics) , cylinder , physics , torque , balance (ability) , couette flow , classical mechanics , mathematics , statistical physics , thermodynamics , geometry , computer science , psychology , computer security , neuroscience
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.