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Abstract
A model for the Reynoldsnumber dependence of the dimensionless dissipation rate C was derived from the dimensionless KármánHowarth equation, resulting in C=C,+C/RL+O(1/RL2), where RL is the integral scale Reynolds number. The coefficients C and C, arise from asymptotic expansions of the dimensionless secondand thirdorder structure functions. This theoretical work was supplemented by direct numerical simulations (DNSs) of forced isotropic turbulence for integral scale Reynolds numbers up to RL=5875 (Rλ=435), which were used to establish that the decay of dimensionless dissipation with increasing Reynolds number took the form of a power law RLn with exponent value n=1.000±0.009 and that this decay of C was actually due to the increase in the Taylor surrogate U3/L. The model equation was fitted to data from the DNS, which resulted in the value C=18.9±1.3 and in an asymptotic value for C in the infinite Reynoldsnumber limit of C,=0.468±0.006.
Original language  English 

Article number  043013 
Journal  Physical Review E  Statistical, Nonlinear and Soft Matter Physics 
Volume  91 
Issue number  4 
DOIs  
Publication status  Published  21 Apr 2015 
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Dive into the research topics of 'Energy transfer and dissipation in forced isotropic turbulence'. Together they form a unique fingerprint.Projects
 2 Finished

Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., CallisonBurch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research