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Title: Transition from laminar to turbulent drag in flow due to a vibrating quartz fork

Abstract

Flow due to a commercially available vibrating quartz fork is studied in gaseous helium, He I and He II, over a wide range of temperatures and pressures. On increasing the driving force applied to the fork, the drag changes in character from laminar (characterized by a linear drive vs velocity dependence) to turbulent (characterized by a quadratic drive vs velocity dependence). We characterize this transition by a critical Reynolds number Re{sub cr}{sup {delta}}=U{sub cr}{delta}/{nu}, where U{sub cr} is the critical velocity, {nu} stands for the kinematic viscosity, {delta}={radical}(2{nu}/{omega}) is the viscous penetration depth, and {omega} is the angular frequency of oscillations. We have experimentally verified that the corresponding scaling U{sub cr}{proportional_to}{radical}({nu}{omega}) holds in a classical viscous fluid over two decades of {nu}.

Authors:
; ;  [1]
  1. Joint Low Temperature Laboratory, Institute of Physics ASCR and Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, 180 00 Prague (Czech Republic)
Publication Date:
OSTI Identifier:
21072380
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.75.025302; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRITICAL VELOCITY; DRAG; FLUID FLOW; HELIUM; OSCILLATIONS; PENETRATION DEPTH; PRESSURE DEPENDENCE; QUARTZ; REYNOLDS NUMBER; TEMPERATURE DEPENDENCE; VISCOSITY

Citation Formats

Blazkova, M, Schmoranzer, D, and Skrbek, L. Transition from laminar to turbulent drag in flow due to a vibrating quartz fork. United States: N. p., 2007. Web. doi:10.1103/PHYSREVE.75.025302.
Blazkova, M, Schmoranzer, D, & Skrbek, L. Transition from laminar to turbulent drag in flow due to a vibrating quartz fork. United States. https://doi.org/10.1103/PHYSREVE.75.025302
Blazkova, M, Schmoranzer, D, and Skrbek, L. 2007. "Transition from laminar to turbulent drag in flow due to a vibrating quartz fork". United States. https://doi.org/10.1103/PHYSREVE.75.025302.
@article{osti_21072380,
title = {Transition from laminar to turbulent drag in flow due to a vibrating quartz fork},
author = {Blazkova, M and Schmoranzer, D and Skrbek, L},
abstractNote = {Flow due to a commercially available vibrating quartz fork is studied in gaseous helium, He I and He II, over a wide range of temperatures and pressures. On increasing the driving force applied to the fork, the drag changes in character from laminar (characterized by a linear drive vs velocity dependence) to turbulent (characterized by a quadratic drive vs velocity dependence). We characterize this transition by a critical Reynolds number Re{sub cr}{sup {delta}}=U{sub cr}{delta}/{nu}, where U{sub cr} is the critical velocity, {nu} stands for the kinematic viscosity, {delta}={radical}(2{nu}/{omega}) is the viscous penetration depth, and {omega} is the angular frequency of oscillations. We have experimentally verified that the corresponding scaling U{sub cr}{proportional_to}{radical}({nu}{omega}) holds in a classical viscous fluid over two decades of {nu}.},
doi = {10.1103/PHYSREVE.75.025302},
url = {https://www.osti.gov/biblio/21072380}, journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}