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Note: Performing your original search, boundary layer with concentrate , in PubMed Central will retrieve 428 citations . Journal List > Proc Natl Acad Sci U S A > v.100(4); Feb 18, 2003 Abstract Full Text PDF (69K) Contents Archive Related material: PubMed articles by: Barenblatt, G. PubMed related arts Copyright © 2003, The National Academy of Sciences Applied Mathematics Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers G. I. Barenblatt Department of Mathematics, University of California, and Lawrence Berkeley National Laboratory, Berkeley, CA 94720-3840 Contributed by G. I. Barenblatt Accepted December 5, 2002. Proc Natl Acad Sci U S A. 2003 February 18; 100(4): 1481–1483. Published online 2003 February 10. doi: 10.1073/pnas.0337426100. PMCID: PMC149856 TOP ABSTRACT We formulate the mass transfer problem for a passive additive in a turbulent boundary layer based on the recently proposed model of the turbulent boundary layer at very large Reynolds numbers. The solutions of three basic problems are obtained. These solutions are self-similar asymptotics describing the mass exchange at its initial stages. The solutions obtained can be used for the construction (in particular, the numerical construction) of the solution to the more general problems of passive admixture transfer in the developed turbulent wall-bounded shear flows. TOP ABSTRACT 1. INTRODUCTION Página 1 de 11 Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers 02/07/2009 http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=149856
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1. INTRODUCTION 2. STEADY ADMIXTURE PROPAGATION FROM A CONCENTRATED SOURCE 3. UNSTEADY HOMOGENEOUS PROBLEMS 4. CONCLUSION REFERENCES In a sequence of works of our group (see refs. 1 5 ), a new model of a turbulent boundary layer at very large Reynolds numbers was constructed and confirmed by comparison with experiment. According to this model, and contrary to previous models ( 6 , 7 ), the mean velocity distribution u ( y ) in the basic intermediate layer between the viscous sublayer and the free stream is represented by two sharply separated scaling laws: Here x and y are the longitudinal (along the flow direction) and transverse Cartesian coordinates, u = ( τ / ρ ) 1/2 is the dynamic or friction velocity, τ is the shear stress, ρ is the fluid density, and ν is the kinematic viscosity of the fluid. Furthermore, c 1 ~ 50 and c 2 are constants, λ 0 = c 1 ν / u is the thickness of the viscous sublayer, λ = c 2 ν / u is the thickness of the first self-similar layer adjacent to the viscous sublayer, and δ is the boundary layer thickness. The Reynolds number Re is determined for boundary layer flows by a simple procedure described in refs. 1 and 2 . We emphasize that it is different from the Reynolds number Re θ based on the momentum thickness used traditionally in boundary layer theory. Note (ref. 2 ) that the second self-similar region adjacent to the free stream is revealed only if the free stream turbulence is low. On the other hand, the first self-similar region was revealed in all experiments performed during the last 40 plus years by various authors (see refs.
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