Conditional eddies in isotropic turbulence

Ronald J. Adrian

Research output: Contribution to journalArticlepeer-review

113 Scopus citations


Isotropic turbulence is examined for the existence of conditional flow structures by computing estimates of the velocity u(x + r, t) given that the velocity at (x, t) assumes some specified value, u(x, t). In general, the best mean-square estimate of u(x + r, t) is the conditional average 〈u(x + r, t)| u(x, t)〉. This quantity is approximated in terms of second- and third-order two-point spatial correlations using nonlinear estimation techniques. The estimate predicts conditional eddies that are vortex rings axisymmetric about the direction of u(x, t). Averaging these estimates over all values of u(x, t) yields two-point moments that are correct through third order.

Original languageEnglish (US)
Pages (from-to)2065-2070
Number of pages6
JournalPhysics of Fluids
Issue number11
StatePublished - Jan 1 1979
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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