@book{7b4872f119e4458ba2ef3388dbdc3e2e,

title = "Corrsin's Hypothesis and Two-Particle Dispersion in Isotropic, Stationary Turbulence",

abstract = "On the basis of Corrsin{\textquoteright}s independence hypothesis, in conjunction with specific assumptions about the form of the distance-neighbour function, an equation is derived for twoparticle dispersion in isotropic turbulence with no mean motion. It is formulated in terms of the mean-square difference between the particle positions r 1(t1) and r2(t2) at arbitrary times t1 and t2 after the release of the particles with a given initial separation. Eddy removal and eddy decay are included with wave-number dependent time scales. The equation, which in general must be solved numerically, has been considered for the scale free k−5/3 energy spectrum as well as for the von K´arm´an spectrum. The model implies that only when the outer scale is infinite, i.e. in the limit where the energy spectrum is of the form k−5/3, will there be a Cεt 3 range of the mean-square separation between the two particles. In this limiting case it is possible to estimate the dimensionless Richardson- Obukhov constant C as a function of a dimensionless eddy-decay parameter. A reasonable choice of this parameter leads to a C-value of the order 1.",

keywords = "Wind energy, Ris{\o}-R-1691, Ris{\o}-R-1691(EN), Vindenergi",

author = "Leif Kristensen and Peter Kirkegaard",

year = "2009",

language = "English",

isbn = "978-87-550-3748-9",

series = "Denmark. Forskningscenter Risoe. Risoe-R",

number = "1691(EN)",

publisher = "Danmarks Tekniske Universitet, Ris{\o} Nationallaboratoriet for B{\ae}redygtig Energi",

}