Velocity Spectrum of Locally Isotropic Turbulence in the Inertial and Dissipation Ranges

Lin, Jung-Tai

doi:10.1063/1.1693741

Cited by 22 publications

(7 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is most easily seen by observing the presence of a k K1 range in the one-dimensional spectrum. As shown by Lin (1972; see also Gamard & George 2000), this can be accounted for by directly cutting the spectral flux itself as the wavenumber is increased into the viscous range. This would seem to imply that any closure model for the subgrid scales should explicitly include a viscous damping, over and above the direct presence of viscosity in the instantaneous volume-averaged equations, at least when applied to flows of moderate to low Reynolds numbers.…”

Section: The 'Gap' and Its Relevance To Lesmentioning

confidence: 99%

Mind the gap: a guideline for large eddy simulation

George

Tutkun

2009

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

show abstract

Section: The 'Gap' and Its Relevance To Lesmentioning

confidence: 99%

Mind the gap: a guideline for large eddy simulation

George

Tutkun

2009

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

show abstract

“…The variable correspond to the width, height, and depth of the PIV interrogation volume and the separation between PIV vectors respectively. is the 3D energy spectrum, which is defined by [23] as:…”

Section: Taylor and Kolmogorov Scalesmentioning

confidence: 99%

Measurement of turbulence characteristics in a large scale fan-stirred spherical vessel

Bradley

Lawes

Morsy

2019

Journal of Turbulence

View full text Add to dashboard Cite

show abstract

“…Model 1 The first model is an extension to the case of scalar advection of the mode1 for energy transfer developed by Lin (1972). Two time scales are defined as follows:…”

Section: Models Of the Scalar Spectrum For Arbitrary V/dmentioning

confidence: 99%

Models of the scalar spectrum for turbulent advection

1978

View full text Add to dashboard Cite

Several models are developed for the high-wavenumber portion of the spectral transfer function of scalar quantities advected by high-Reynolds-number, locally isotropic turbulent flow. These models are applicable for arbitrary Prandtl or Schmidt number, v/D, and the resultant scalar spectra are compared with several experiments having different v/D. The ‘bump’ in the temperature spectrum of air observed over land is shown to be due to a tendency toward a viscous-convective range and the presence of this bump is consistent with experiments for large v/D. The wavenumbers defining the transition between the inertial-convective range and viscous-convective range for asymptotically large v/D (denoted k* and k1* for the three- and one-dimensional spectra) are determined by comparison of the models with experiments. A measurement of the transitional wavenumber k1* [denoted (k1*)s] is found to depend on v/D and on any filter cut-off. On the basis of the k* values it is shown that measurements of β1 from temperature spectra in moderate Reynolds number turbulence in air (v/D = 0·72) maybe over-estimates and that the inertial-diffusive range of temperature fluctuations in mercury (v/D ≃ 0·02) is of very limited extent.

show abstract

Velocity Spectrum of Locally Isotropic Turbulence in the Inertial and Dissipation Ranges

Cited by 22 publications

References 9 publications

Mind the gap: a guideline for large eddy simulation

Mind the gap: a guideline for large eddy simulation

Measurement of turbulence characteristics in a large scale fan-stirred spherical vessel

Models of the scalar spectrum for turbulent advection

Contact Info

Product

Resources

About