Reassessment of the Classical Turbulence Closures

Robert Rubinstein · Timothy Clark

tet 2022 · Cambridge Scholars Publishing

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Turbulent fluid flows appear random and disordered. Airplane contrails are an obvious example of this, while water flowing through a pipe provides another common example, although it is observable only in a laboratory. This randomness means that designing household plumbing uses tables of the pressure needed to enforce a desired flow rate. However, this fact points to a key property, namely that averages like pressure and flow rate are predictable, even if flow details are not.

The scientific problem of deriving mathematical equations to describe the statistics of turbulent flows has a long history. The earliest attempts are the classical turbulence closures described here. Their simplicity makes them attractive, but their shortcomings inspired the development of far more complex mathematical descriptions, which are generally rejected as too difficult for practical applications. This book explores the possibility of finding a middle ground between these extremes, by suggesting computationally tractable yet physically realistic models of turbulence.

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Dr Robert Rubinstein received a PhD in Mathematics from MIT in 1972. Following positions at the University of Utah, Georgia Tech, and the Republic Steel Research Center in Cleveland, he began a long association with NASA as a contractor at the (then) NASA Lewis Research Center in 1984. He moved to the Institute for Computer Applications in Science and Engineering at NASA Langley Research Center in 1995, and joined the Computational Aerosciences Branch at Langley in 2000, before retiring from NASA Langley in 2017. His research has focused on the application of turbulence theories to practical turbulence modeling, and he has published over 50 papers in various technical journals.

Dr Timothy Clark received a PhD in Mechanical Engineering from the University of New Mexico, and has been associated with the Theoretical Division, and the computational physics divisions of Los Alamos National Laboratory since 1988. He has served as a member of the Scientific Committee for the International Workshop on the Physics of Compressible Mixing, and has published over 30 papers in peer-reviewed journals including Journal of Fluid Mechanics, Journal of the Optical Society of America, and Journal of Turbulence, among others.

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