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On the convection of a passive scalar by a turbulent Gaussian velocity field |
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| Authors: | T C Lipscombe A L Frenkel D ter Haar |
| Institution: | (1) B. Levich Institute for Physicochemical Hydrodynamics, City College, 10031 New York, New York;(2) Department of Theoretical Physics, Oxford University, OX1 3NP Oxford, Great Britain;(3) Present address: Physical Review B, 1 Research Road, 11961 Ridge, New York;(4) Present address: Department of Mathematics, University of Alabama, 35487 Tuscaloosa, Alabama;(5) Present address: P. O. Box 10, GU28 ORY Petworth, West Sussex, Great Britain |
| Abstract: | Through the use of the Novikov-Furutsu formula for Gaussian processes an equation is obtained for the diffusion of the ensemble average of a passive scalar in an incompressible turbulent velocity field in terms of the two-point, two-time correlator of this field. The equation is valid for turbulence which is not necessarily homogeneous or stationary and thus generalizes previous work. |
| Keywords: | Turbulence diffusion helicity convection incompressible fluids |
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