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SCALING AND CORRELATION OF FLUCTUATING VORTICITY IN TURBULENT WALL LAYERS

Ronald L. Panton
Mechanical Engineering Department University of Texas Austin, TX 78712

Résumé

Asymptotic expansions for the profiles of fluctuating vorticity in boundary layers are proposed based on DNS data. The inner region requires two terms with different scalings; < ωiωi > /(U0uτ3 / v2 ) and iωi> /(u4τ / v2 ). The first term decays exponentially and needs no matching term in the outer region. The second term has an overlap behavior of ~ C / y+. To match the outer region this requires a third scaling for the outer expansion iωi> /(u3τ / vδ) . This scaling turns out to be the Kolmogorov time scale.