Stochastic interpenetration of fluids

Steinkamp, Michael; Clark, Timothy T.; Harlow, Francis H.

doi:10.2172/123227

Cited by 10 publications

(12 citation statements)

References 3 publications

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“…Over the past two decades, advances in modeling of variable density turbulence has led to introduction of various turbulence models which includes: spectral transport models (Besnard et al 1990;1992;Steinkamp et al 1995), two-fluid models (Andrews 1986;Youngs 1989) and Reynolds Stress/Bousinesq models (Snider & Andrews 1996).…”

Section: Index For Fluidsmentioning

confidence: 99%

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Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Banerjee

Andrews

2006

Physics of Fluids

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A novel gas channel experiment was constructed to study the development of high Atwood number Rayleigh-Taylor mixing. Two gas streams, one containing air and the other containing helium-air mixture, flow parallel to each other separated by a thin splitter plate. The streams meet at the end of a splitter plate leading to the formation of an unstable interface and of buoyancy driven mixing. This buoyancy driven mixing experiment allows for long data collection times, short transients and was statistically steady. The facility was designed to be capable of large Atwood number studies of AB t B ~ 0.75. We describe work to measure the self similar evolution of mixing at density differences corresponding to 0.035 < AB t B < 0.25. Diagnostics include a constant temperature hot-wire anemometer, and high resolution digital image analysis. The hot-wire probe gives velocity, density and velocity-density statistics of the mixing layer. Two different multi-position single-wire techniques were used to measure the velocity fluctuations in three mutually perpendicular directions. Analysis of the measured data was used to explain the mixing as it develops to a self-similar regime in this flow. These measurements are to our iv knowledge, the first use of hot-wire anemometry in the Rayleigh-Taylor community.Since the measurement involved extensive calibration of the probes in a binary gas mixture of air and helium, a new convective heat transfer correlation was formulated to account for variable-density low Reynolds number flows past a heated cylinder. In addition to the hot-wire measurements, a digital image analysis procedure was used to characterize various properties of the flow and also to validate the hot-wire measurements. A test of statistical convergence was performed and the study revealed that the statistical convergence was a direct consequence of the number of different large three-dimensional structures that were averaged over the duration of the run.

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Section: Index For Fluidsmentioning

confidence: 99%

“…These measurements will be used for validation of predictive turbulent transport models (Andrews 1986;Besnard et al 1990;1992;Snider & Andrews 1996;Steinkamp et al 1995;Youngs 1989) as mentioned earlier.…”

Section: Objectives Of Present Researchmentioning

confidence: 99%

Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Banerjee

Andrews

2006

Physics of Fluids

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“…Similar balances for variable-density turbulence lead to analogous approximations, Steinkamp (1996) and Steinkamp, Clark, and Harlow (1995).…”

Section: G the Boussinesq Approximationmentioning

confidence: 86%

“…The turbulence self-diffusion represents a very complicated combination of random-walk processes, derived from the stochastic effects of fluctuations from all scales. With the inclusion of passive or active materials in the fluid, the stochastic advective transport may include an ordered (wave-like) interpenetration as well as the disordered (diffusive) part [Steinkamp, Clark, and Harlow (1995)…”

Section: \ Imentioning

confidence: 99%

Turbulence transport with nonlocal interactions

Linn¹,

Clark²,

Harlow³

et al. 1998

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This preliminary report describes a variety of issues in turbulence transport analysis with particular emphasis on closure procedures that are nonlocal in wave-number and/or physical space. Anomalous behavior of the transport equations for large-scale parts of the turbulence spectrum are resolved by including the physical-space nonlocal interactions. Direct and reverse cascade processes in wavenumber space are given a much richer potential for realistic description by the nonlocal formulations. The discussion also describes issues, many still not resolved, regarding new classes of self-similar form functions.

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“…The buoyancy calculations, including the important non-locality of pressure-wave effects in physical space, gave excellent results. The technique, described in several publications by Mike Steinkamp, Tim Clark and myself, has been called the SCH method [134,135]. For shear-driven instability, there was, however, a missing feature in the equations associated with a well-known process that continuously creates vortices of larger and larger sizes (called vortex pairing in a free shear layer).…”

Section: Turbulence (1967)mentioning

confidence: 99%

Introduction to Harlow's scientific memoir

Brackbill

2004

Journal of Computational Physics

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Stochastic interpenetration of fluids

Cited by 10 publications

References 3 publications

Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Turbulence transport with nonlocal interactions

Introduction to Harlow's scientific memoir

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