Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-04-02
Int. J. Modern Physics B, v15, 3419, 2001
Nonlinear Sciences
Chaotic Dynamics
RevTex4, publ. in Int. J. Mod. Phy. B, v.15, p.3419, 2001
Scientific paper
10.1142/S0217979201007270
The cascade rate of passive scalar and Bachelor's constant in scalar
turbulence are calculated using the flux formula. This calculation is done to
first order in perturbation series. Batchelor's constant in three dimension is
found to be approximately 1.25. In higher dimension, the constant increases as
$d^{1/3}$.
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