Modelling of turbulent energy flux in canonical shock-turbulence interaction

Quadros, Russell; Sinha, Krishnendu

doi:10.1016/j.ijheatfluidflow.2016.07.006

Cited by 16 publications

(9 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the current work, we take a simpler approach than [29] and model the turbulent heat flux in terms of a variable turbulent Prandtl number. This is unlike the previous paper, where the turbulent heat flux is modeled directly in the form of an algebraic or differential equation [29].…”

Section: Variable Turbulent Prandtl Number Modelmentioning

confidence: 99%

“…The approach is similar to the differential equation model proposed for turbulent energy flux in Ref. [29]. transport equation for ψ is such that it deviates from its undisturbed value ψ 0 only in the regions of strong compression and gradually relaxes back from the shock value to the reference value.…”

Section: Variable Turbulent Prandtl Number Modelmentioning

confidence: 99%

“…The current model is applied to the turbulent heat flux generated across a shock wave in canonical shock-turbulence interaction, for which LIA and DNS data is available in Refs. [12,13,29,32]. Quadros et al [12] study the shock-normal component of the turbulent energy flux u e in canonical STI.…”

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

“…In a subsequent work, Quadros and Sinha [29] propose physics-based models for the u e generated behind the shock wave. The algebraic heat flux limiter model is of particular interest in the current context and will be considered here.…”

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

“…We adopt the realizable Reynolds stress formulation, similar to Ref. [29], for the shock-normal Reynolds stress, and get the following model for the peak turbulent energy flux correlation in canonical shock-turbulence interaction.…”

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

See 4 more Smart Citations

Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction

2018

Self Cite

View full text Add to dashboard Cite

Interaction of shock waves with turbulent boundary layers can enhance the surface heat flux dramatically. Reynolds-averaged Navier-Stokes simulations based on constant turbulent Prandtl number often give grossly erroneous heat transfer predictions in SBLI flows. This is due to the fact that the underlying Morkovin's hypothesis breaks down in the presence of shock waves; thus, the turbulent Prandtl number can not be assumed to be a constant. In this paper, we develop a new variable turbulent Prandtl number model based on linearized Rankine-Hugoniot conditions applied to shock-turbulence interaction. The turbulent Prandtl number is a function of the shock strength and we propose a shock function to identify the location and strength of shock waves. The shock function also simulates the post-shock relaxation of the turbulent heat flux, akin to that observed in canonical shock-turbulence interaction. The model is combined with the well-validated shock-unsteadiness k-ω model and is applied to the complex shock topology observed in oblique shock-turbulent boundary layer interactions. Comparison with experimental data shows significant improvement in the surface heat transfer rate in the interaction region, both for attached and separated SBLI cases. The shock function is also used to propose a robust form of the existing shock-unsteadiness k-ω model that simplifies the numerical implementation enormously.

show abstract

Section: Variable Turbulent Prandtl Number Modelmentioning

confidence: 99%

Section: Variable Turbulent Prandtl Number Modelmentioning

confidence: 99%

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

Section: Application To Canonical Shock-turbulence Interactionmentioning

confidence: 99%

See 3 more Smart Citations

Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction

2018

Self Cite

View full text Add to dashboard Cite

show abstract

Thermodynamic fluctuations in canonical shock–turbulence interaction: effect of shock strength

Sethuraman

Sinha

Larsson

2018

Theor. Comput. Fluid Dyn.

View full text Add to dashboard Cite

Three-Dimensional Modeling Shock-Wave Interaction with a Fin at Mach 5

Pasha

2018

Arab J Sci Eng

View full text Add to dashboard Cite

The three-dimensional single fin configuration finds application in an intake geometry where the cowl-shock wave interacts with the side-wall boundary-layer. Accurate numerical simulation of such three-dimensional shock/turbulent boundary-layer interaction flows, which are characterized by the appearance of strong crossflow separation, is a challenging task. Reynolds-averaged Navier-Stokes computations using the shock-unsteadiness modified Spalart-Allmaras model is carried out at Mach of 5 at large fin angle of 23 • . The computed results using the modified model are compared to the standard Spalart-Allmaras model and validated against the experimental data. The focus of work is to implement the modified model and to study the flow physics in detail in the complex region of swept-shock-wave turbulent boundary-layer interaction in terms of the shock structure, expansion fan, shear layer and the surface streamlines.The flow structure is correlated to the wall pressure and skin friction in detail. It is observed that the standard model predicts an initial pressure location downstream of the experiments. The modified model reduces the eddy viscosity at the shock and predicts close to the experiments. Overall, the surface pressure using modified model is predicted accurately at all the locations. The skin friction is under predicted by both the models in the reattachment region and is attributed to the poor performance of turbulence models due to flow laminarization.

show abstract

Modelling of turbulent energy flux in canonical shock-turbulence interaction

Cited by 16 publications

References 23 publications

Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction

Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction

Thermodynamic fluctuations in canonical shock–turbulence interaction: effect of shock strength

Three-Dimensional Modeling Shock-Wave Interaction with a Fin at Mach 5

Contact Info

Product

Resources

About