A model for the reduction of the turbulent energy redistribution by compressibility

Stefan, Heinz G.

doi:10.1063/1.1613652

Cited by 41 publications

(28 citation statements)

References 11 publications

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“…Heinze [17] modified the value of C l to account for the effect of compressibility, which is defined by the following equation:…”

Section: B Turbulence Modelingmentioning

confidence: 99%

“…In the present study, a numerical simulation of the supersonic oxygen jet showed that the kÀe turbulence model, including the compressibility correction proposed by Heinz, [17] underpredicts the potential flow core length at high ambient temperatures. Abdol-Hamid et al [18] proposed a temperature corrected turbulence model to take into account the effect of a large temperature gradient when a hot supersonic jet exits into a cold atmosphere.…”

Section: Introductionmentioning

confidence: 98%

“…[15] This result occurs because the standard kÀe model lacks the ability to reproduce the observed reduction in the growth rate of the turbulent mixing region. However, some modifications of the kÀe model have been proposed [16,17] to take into account the effect of compressibility in reducing the growth rate of the turbulent mixing region.…”

Section: Introductionmentioning

confidence: 99%

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Computational Fluid Dynamics Simulation of Supersonic Oxygen Jet Behavior at Steelmaking Temperature

Alam

Naser

Brooks

2010

Metall Mater Trans B

108

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Supersonic oxygen jets are used in steelmaking and other different metal refining processes, and therefore, the behavior of supersonic jets inside a high temperature field is important for understanding these processes. In this study, a computational fluid dynamics (CFD) model was developed to investigate the effect of a high ambient temperature field on supersonic oxygen jet behavior. The results were compared with available experimental data by Sumi et al. and with a jet model proposed by Ito and Muchi. At high ambient temperatures, the density of the ambient fluid is low. Therefore, the mass addition to the jet from the surrounding medium is low, which reduces the growth rate of the turbulent mixing region. As a result, the velocity decreases more slowly, and the potential core length of the jet increases at high ambient temperatures. But CFD simulation of the supersonic jet using the kÀe turbulence model, including compressibility terms, was found to underpredict the potential flow core length at higher ambient temperatures. A modified k-e turbulence model is presented that modifies the turbulent viscosity in order to reduce the growth rate of turbulent mixing at high ambient temperatures. The results obtained by using the modified turbulence model were found to be in good agreement with the experimental data. The CFD simulation showed that the potential flow core length at steelmaking temperatures (1800 K) is 2.5 times as long as that at room temperature. The simulation results then were used to investigate the effect of ambient temperature on the droplet generation rate using a dimensionless blowing number.

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“…Heinze [17] modified the value of C l to account for the effect of compressibility, which is defined by the following equation:…”

Section: B Turbulence Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Computational Fluid Dynamics Simulation of Supersonic Oxygen Jet Behavior at Steelmaking Temperature

Alam

Naser

Brooks

2010

Metall Mater Trans B

108

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“…The two equation k-ε turbulence model with compressibility correction 31) was used to model high speed gas jet in the single phase domain. To describe the turbulence resulting from the jet liquid interaction in case of multiphase domain, the standard k-ε turbulence model was used.…”

Section: Turbulence Modelingmentioning

confidence: 99%

A Computational Fluid Dynamics Model of Shrouded Supersonic Jet Impingement on a Water Surface

et al. 2012

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A computational fluid dynamics (CFD) model was developed to simulate the liquid flow field and surface deformation caused by an impinging shrouded supersonic jet on a liquid bath from the top as used in oxygen steelmaking. Two different computational domains were used to avoid the difficulties that arise from the simultaneous solution of compressible gas phase and incompressible liquid phase. The results were validated against the experimental data and the reasons for any deviation were described accordingly. The effect of shrouding gas flow rates on the axial jet velocity distribution, depth of penetration and velocity distribution of liquid phase were investigated. A high shrouding gas flow rate was found to increase the depth of penetration and liquid free surface velocity which in turn contributes in reducing the mixing time. The mechanism of droplets generation was investigated in detail. The CFD model successfully predicted the formation of surface waves inside the cavity and consequent liquid fingers from the edge of the cavity which were experimentally observed by the previous researchers.1,2) It was shown that the Blowing number theory (NB) fails to predict the droplet generation rate if the cavity operates in the deep penetrating mode. The possible reasons behind this limitation have been discussed using the Blowing number equation and CFD results. Finally, the cavity surface area was found to be the most influencing factor in the generation of droplets.

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“…Due to the assumptions made, the turbulence model can neglect some of the important compressibility features of turbulence in shear layers. Tsimis [10] found that a number of turbulence models did not capture the sensitivity of the shear layer mixing rate unless Heinza£s compressibility correction [13] was implemented. Without the correction the shear layer was developing laterally faster than in his experiments.…”

Section: Plume/freestream Mixingmentioning

confidence: 99%

On the uncertainties in assessing the atmospheric effects of launchers

Murray

Bekki²,

Toumi

et al. 2013

Progress in Propulsion Physics

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This paper discusses the areas contributing to uncertainty in the modeling of the e¨ects of launchers on the atmosphere. The main areas dealt with are (i) the aerothermodynamics of rocket plumes which includes the combustion and expansion process and (ii) climate modeling including the insertion of small scale plumes into relatively large scale climate models. The complexity of modeling necessary for a proper and accurate assessment of plume e¨ects implies the need for validation data which may require §ight and ground campaigns as well as laboratory experiments.

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A model for the reduction of the turbulent energy redistribution by compressibility

Cited by 41 publications

References 11 publications

Computational Fluid Dynamics Simulation of Supersonic Oxygen Jet Behavior at Steelmaking Temperature

Computational Fluid Dynamics Simulation of Supersonic Oxygen Jet Behavior at Steelmaking Temperature

A Computational Fluid Dynamics Model of Shrouded Supersonic Jet Impingement on a Water Surface

On the uncertainties in assessing the atmospheric effects of launchers

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