Abstract
Given (and confirmed numerically) that the exponents α and β in the passive scalar and velocity structure functions 〈(ΔT3)a〉∼rα, and 〈(Δu3)a〉∼rβ are anomalous, the scaling of γ in 〈(u(x+r)−u(x))a(T(x+r)−T(x))2a〉∼rγ is investigated. Analytical estimates show that γ cannot be as anomalous as α or β. Numerical computations (Pr=1, Reλ=141) show that γ is closer to β than to α. In addition, the statistical dependence of the velocity and passive scalar differences leads to an enhanced anomaly in γ.
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