Calculation of turbulent boundary layers over flat plates with different phenomenological theories of turbulence and variable turbulent Prandtl number

Wassel, A.T.; Catton, I.

doi:10.1016/0017-9310(73)90183-x

Cited by 37 publications

(9 citation statements)

References 12 publications

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“…For P r = 0.025, however, it increases from the wall to a maximum value of 3.27 at y+ = 37 and then decreases gradually toward the channel centre. Although the profile of P r t in the vicinity of the wall has been a m atter of conjecture, the two numerical simulations do not show a marked increase toward the wall th at is seen in the previous empirical and experimental results (Wassel & Catton 1973;Kays & Crawford 1980). The time scale ratio R, which is the ratio of tem perature dissipation time scale tq to veloc dissipation time scale tu, is often used in scalar flux modelling.…”

Section: ____mentioning

confidence: 57%

Contribution of direct numerical simulation to understanding and modelling turbulent transport

Kasagi

Shikazono

1995

Proc. R. Soc. Lond. A

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With the advances in large scale computers, reliable numerical methods and efficient post-processing environment, direct numerical simulation (DNS) has become a valuable and indispensable resource for fundamental turbulence research, although DNS is possible only when the turbulent Reynolds (or Peclet) number remains small to moderate. This paper reviews the contribution that various DNSS have made to understanding and modelling turbulent transport phenomena. After general remarks are made on the grid requirements and numerical methods of DNS, its novelties as a numerical experiment are summarized and some of them are demonstrated by introducing typical DNS results at the University of Tokyo. Emphasis is laid upon new findings on the turbulence statistics, their budgets and quasi-coherent eddy structures revealed by the simulations of the fully developed channel flow with heat transport at different Prandtl numbers, and also a recent modelling attempt to take into account the new knowledge extracted from these DNSS, i. e. a remarkable change of the destruction mechanism of turbulent scalar flux with the Prandtl number and a low Reynolds number effect on the redistribution process of the Reynolds stress.

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Section: ____mentioning

confidence: 57%

Contribution of direct numerical simulation to understanding and modelling turbulent transport

Kasagi

Shikazono

1995

Proc. R. Soc. Lond. A

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“…Variable P r t models have had difficulty matching experimental data. [11][12][13][14] Scale resolving simulations (SRS) have become a major focus in recent years. Detached Eddy Simulation (DES) and Large Eddy Simulation (LES) allow the largest scales of turbulence to be resolved while filtering (implicitly or explicitly) the smallest scales.…”

Section: B Numerical Backgroundmentioning

confidence: 99%

Numerical and Experimental Examination of Turbulent Mixing of a Heated Jet in Crossflow

Borghi

Engblom²,

Thurman

et al. 2018

2018 Fluid Dynamics Conference

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The injection of fully-developed turbulent heated air from a tube into a cooler turbulent duct flow is examined, as an analogy to film cooled turbine blades. A LES numerical model is developed and applied in which tube and duct turbulence inflow effects are emulated using a divergence-free synthetic eddy method (SEM). For direct comparison, a hot-wire experiment is conducted within the ERB test cell SW-6 at NASA Glenn Research Center. Results related to velocity, temperature, and heat flux are obtained numerically and experimentally for a blowing ratio of 1.2, involving a 36 K temperature difference. The relative effect on the solutions of tube and duct inflow turbulence is systematically evaluated. The impact of inherent low-pass filtering of temperature measurements and probe wire offset on the experimental results are addressed. * Aerospace Engineer, Turbomachinery and Turboelectric Propulsion Branch, Member AIAA. † Aerospace Engineer, Turbomachinery and Turboelectric Propulsion Branch, Army Research Lab ‡ Aerospace Engineer, Turbomachinery and Turboelectric Propulsion Branch § Professor, Departments of Mechanical and Aerospace Engineering, Associate Fellow AIAA.

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“…Furthermore, the mean scalar gradient of the two-part model directly influences the evaluation of SGS scalar fluxes, although this is surprising since the SGS scalar fluxes must be determined locally (Horiuti 1987). A significant difference in k, near the wall by Wassel & Catton (1973) are included. The Pr, profile from Case 1 is in fairly good agreement with Hishida et al (1986), except in the channel central region.…”

Section: (4b)mentioning

confidence: 99%

Assessment of two-equation models of turbulent passive-scalar diffusion in channel flow

Horiuti

1992

J. Fluid Mech.

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Models for the transport of passive scalar in turbulent flow were investigated using databases derived from numerical solutions of the Navier—Stokes equations for fully developed plane channel flow, these databases being generated using large-eddy and direct numerical simulation techniques. Their reliability has been established by comparison with the experimental measurements of Hishida. Nagano & Tagawa (1986). The present paper compares these simulations and calculations using the Nagano & Kim (1988) ‘two-equation’ model for the scalar variance (kθ) and scalar variance dissipation (εθ). This model accounts for the dependence of flow quantities on the Prandtl number by expressing eddy diffusivity in terms of the ratio of the timescales of velocity and scalar fluctuations. However, the statistical analysis by Yoshizawa (1988) showed that there was an inconsistency in the definition of the isotropic eddy diffusivity in the Nagano—Kim model, the implications of which are clearly demonstrated by the results of this paper where large-eddy simulation and direct numerical simulation (LES/DNS) databases are used to compute the quantities contained in both models. An extension of the Nagano-Kim model is proposed which resolves these inconsistencies, and a further development of this model is given in which the anisotropic scalar fluxes are calculated. Near a rigid surface, a third-order ‘anisotropic representation’ of scalar fluxes may be used as an alternative model for reducing the eddy diffusivity, instead of the conventional ‘damping functions’. This model is similar but distinct from the algebraic scalar flux model of Rogers, Mansour & Reynolds (1989). A third aspect of this paper is the use of the LES/DNS databases to evaluate certain coefficients (those for modelling the pressure-scalar gradient terms) of another model of a similar type, namely the algebraic scalar flux model of Launder (1975).

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Calculation of turbulent boundary layers over flat plates with different phenomenological theories of turbulence and variable turbulent Prandtl number

Cited by 37 publications

References 12 publications

Contribution of direct numerical simulation to understanding and modelling turbulent transport

Contribution of direct numerical simulation to understanding and modelling turbulent transport

Numerical and Experimental Examination of Turbulent Mixing of a Heated Jet in Crossflow

Assessment of two-equation models of turbulent passive-scalar diffusion in channel flow

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