Comparison of Closure Approximation Theories in Turbulent Mixing
- 1 February 1966
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 9 (2) , 363-372
- https://doi.org/10.1063/1.1761680
Abstract
Using various closure approximation theories, the evolution of scalar quantity spectrum in a statistically stationary isotropic turbulent velocity field is investigated to provide a unified comparison at Peclet number of 50. The phenomenological Heisenberg (eddy diffusivity) transfer function and the analytical approaches including the truncation, the quasi-normal, and the recent direct-interaction closure approximations are examined. As already known, the truncation and quasi-normal closures result in a negative-spectrum within short decay times. A modified quasi-normal closure formula is suggested as a means of approximating the simultaneous covariances, and the results thereof are comparable with the direct-interaction counterparts.Keywords
This publication has 14 references indexed in Scilit:
- Lagrangian-History Closure Approximation for TurbulencePhysics of Fluids, 1965
- Kolmogorov's Hypotheses and Eulerian Turbulence TheoryPhysics of Fluids, 1964
- Turbulent motion and mixing in a pipeAIChE Journal, 1964
- A consequence of the zero fourth cumulant approximationJournal of Fluid Mechanics, 1962
- The closure problem of turbulence theoryPublished by American Mathematical Society (AMS) ,1962
- Decay of temperature fluctuations in homogeneous turbulence before the final periodInternational Journal of Heat and Mass Transfer, 1961
- Formulation of the theory of turbulence in an incompressible fluidAnnals of Physics, 1961
- An approximate equation for the spectrum of a conserved scalar quantity in a turbulent fluidJournal of Fluid Mechanics, 1960
- The structure of isotropic turbulence at very high Reynolds numbersJournal of Fluid Mechanics, 1959
- Zur statistischen Theorie der TurbulenzThe European Physical Journal A, 1948