Scaling of global momentum transport in Taylor-Couette and pipe flow |
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| Authors: | B Eckhardt S Grossmann D Lohse |
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| Institution: | Fachbereich Physik, Philipps-Universit?t Marburg, Renthof 6, 35032 Marburg, Germany, DE
Department of Applied Physics and J.M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, The Netherlands, NL
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| Abstract: | We interpret measurements of the Reynolds number dependence of the torque in Taylor-Couette flow by Lewis and Swinney Phys.
Rev. E 59, 5457 (1999)] and of the pressure drop in pipe flow by Smits and Zagarola Phys. Fluids 10, 1045 (1998)] within the scaling theory of Grossmann and Lohse J. Fluid Mech. 407, 27 (2000)], developed in the context of thermal convection. The main idea is to split the energy dissipation into contributions
from a boundary layer and the turbulent bulk. This ansatz can account for the observed scaling in both cases if it is assumed
that the internal wind velocity introduced through the rotational or pressure forcing is related to the external (imposed) velocity U, by with and for the Taylor-Couette (U inner cylinder velocity) and pipe flow (U mean flow velocity) case, respectively. In contrast to the Rayleigh-Bénard case the scaling exponents cannot (yet) be derived
from the dynamical equations.
Received 9 September 2000 |
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| Keywords: | PACS 47 27 -i Turbulent flows convection and heat transfer |
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