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A note on acoustic turbulence
KTH, School of Engineering Sciences (SCI), Mechanics.
2019 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 874, article id R2Article in journal (Refereed) Published
Abstract [en]

We consider a three-dimensional acoustic field of an ideal gas in which all entropy production is confined to weak shocks and show that similar scaling relations hold for such a field as for forced Burgers turbulence, where the shock amplitude scales as (epsilon d)(1/3) and the pth-order structure function scales as (epsilon d)(p/3)3r/d, epsilon being the mean energy dissipation per unit mass, d the mean distance between the shocks and r the separation distance. However, for the acoustic field, epsilon should be replaced by epsilon + chi, where chi is associated with entropy production due to heat conduction. In particular, the third-order longitudinal structure function scales as <delta u(r)(3)> = -C(epsilon + chi)r, where C takes the value 12/5 (gamma + 1) in the weak shock limit, gamma = c(p)/c(v) being the ratio between the specific heats at constant pressure and constant volume.

Place, publisher, year, edition, pages
Cambridge University Press, 2019. Vol. 874, article id R2
Keywords [en]
shock waves, turbulence theory, compressible turbulence
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-255544DOI: 10.1017/jfm.2019.523ISI: 000475907700001Scopus ID: 2-s2.0-85073167340OAI: oai:DiVA.org:kth-255544DiVA, id: diva2:1341303
Note

QC 20190808

Available from: 2019-08-08 Created: 2019-08-08 Last updated: 2020-03-09Bibliographically approved

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