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A STATISTICAL THEORY ON THE TURBULENT DIFFUSION OF ...

A STATISTICAL THEORY ON THE TURBULENT DIFFUSION OF ...

A STATISTICAL THEORY ON THE TURBULENT DIFFUSION OF

RISØ-M-2327 A STATISTICAL THEORY ON THE TURBULENT DIFFUSION OF GAUSSIAN PUFFS T. Mikkelsen, S.E. Larsen and H.L. Pecseli Abstract. The relative diffusion of a one-dimensional Gaussian cloud of particles is related to a two-particle covariance function Habs^ij» T ) = u(Xj,(t) )u(Xi(t-T)-Cjj) in a homogenous and stationary field of turbulence. This two-particle covariance function expresses the velocityy correlation between one particle (i) which at time t is in the position x^, and another particle (j), which at the previous time t-x is displaced the fixed distance Cij relative to Xj_(t-T). For Sij = 0, R a bs re ~ duces to the Lagrangian covariance function of a single particle. Setting, on the other hand, the time lag T equal to zero, a pure Bulerian fixed point covariance function results. ,., (Cntinue on next page) December 1982 Risø National Laboratory, DK-4000 Roskilde, Denmark

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