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Nuclear magnetic resonance measurements of velocity distributions in an ultrasonically vibrated granular bed
journal contribution
posted on 2016-04-26, 09:03 authored by Jonathan Huntley, Tahir Tarvaz, M.D. Mantle, A.J. Sederman, L.F. Gladden, Nadeem A. Sheikh, Ricky D. WildmanWe report the results of nuclear magnetic resonance (NMR) imaging experiments on granular beds of mustard grains fluidised by vertical vibration at ultrasonic frequencies. The variation of both granular temperature and packing fraction with height was measured within the three-dimensional cell for a range of vibration frequencies, amplitudes and numbers of grains. Small increases in vibration frequency were found – contrary to the predictions of classical ‘hard-sphere’ expressions for the energy flux through a vibrating boundary – to result in dramatic reductions in granular temperature. Numerical simulations of the grain-wall interactions, using experimentally-determined Hertzian contact stiffness coefficients, showed that energy flux drops significantly as the vibration period approaches the grain-wall contact time. The experiments thus demonstrate the need for new models for ‘soft-sphere’ boundary conditions at ultrasonic frequencies.
Funding
This paper was supported by funding under Platform Grant EP/F047991/1
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCESVolume
372Issue
2015Pages
? - ? (17)Citation
HUNTLEY, J.M. ...et al., 2014. Nuclear magnetic resonance measurements of velocity distributions in an ultrasonically vibrated granular bed. Philosophical Transactions of The Royal Society A-Mathematical Physical and Engineering Sciences, 372: 20130185.Publisher
© The Authors. Published by The Royal SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014-05-13Notes
This paper was accepted for publication in the journal Philosophical Transactions of The Royal Society A-Mathematical Physical and Engineering Sciences and the definitive published version is available at http://dx.doi.org/10.1098/rsta.2013.0185ISSN
1364-503XPublisher version
Language
- en