Large-Eddy Simulation of Supersonic, Turbulent Mixing Layers Downstream of a Splitter Plate

Sharma, Arjun; Bhaskaran, Rathakrishnan; Lele, Sanjiva K.

doi:10.2514/6.2011-208

Cited by 13 publications

(6 citation statements)

References 48 publications

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“…These studies showed significant differences with respect to the case of mixing layers initiated through synthetic disturbances, and highlighted the significant influence of the initial velocity deficit on the fully developed mixing layer region. Sharma, Bhaskaran & Lele (2011) further observed that the merging of a laminar and a turbulent boundary layer results in faster development of self-similar velocity profiles as compared to the case of two incoming laminar boundary layers. They also observed that in the former case the flow adjustment from the wake-dominated regime to the mixing layer regime occurs without any major instability, resulting in a significantly weaker radiated acoustic near field.…”

Section: Introductionmentioning

confidence: 84%

“…The computational box has a size of L x × L y × L z = 120δ 0 × 47δ 0 × 12δ 0 , to be able to have fully developed upstream boundary layers, and follow the mixing layer evolution into the developed state. The computational domain has been selected based on previous experience (Foysi & Sarkar 2010;Sharma et al 2011), to minimize numerical confinement effects, within the constraints of computational cost. The origin of the coordinate system is set at the trailing edge of the splitter plate, at x 0 ≈ 40δ 0 downstream of the inflow.…”

Section: Computational Setupmentioning

confidence: 99%

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Early evolution of the compressible mixing layer issued from two turbulent streams

Pirozzoli

Bernardini²,

Marié³

et al. 2015

J. Fluid Mech.

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Direct numerical simulation of the spatially developing mixing layer issuing from two turbulent streams past a splitter plate is carried out under mild compressibility conditions. The study mainly focuses on the early evolution of the mixing region, where transition occurs from a wake-like to a canonical mixing-layer-like behaviour, corresponding to the filling-up of the initial momentum deficit. The mixing layer is found to initially grow faster than linearly, and then at a sub-linear rate further downstream. The Reynolds stress components are in close agreement with reference experiments and follow a continued slow decay till the end of the computational domain. These observations are suggestive of the occurrence of incomplete similarity in the developing turbulent mixing layer. Coherent eddies are found to form in the close proximity of the splitter plate trailing edge, that are mainly organized in bands, initially skewed and then parallel to the spanwise direction. Dynamic mode decomposition is used to educe the dynamically relevant features, and it is found to be capable of singling out the coherent eddies responsible for mixing layer development.

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Section: Introductionmentioning

confidence: 84%

Section: Computational Setupmentioning

confidence: 99%

Early evolution of the compressible mixing layer issued from two turbulent streams

Pirozzoli

Bernardini²,

Marié³

et al. 2015

J. Fluid Mech.

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show abstract

“…The stream in the low-speed side is laminar and lacks perturbations (Sandham & Sandberg 2009). Note that no forcing mechanism is applied in either inflow boundary layers (Sandham & Sandberg 2009;Laizet et al 2010;Sharma, Bhaskaran & Lele 2011;Pirozzoli et al 2015).…”

Section: Initial Conditionsmentioning

confidence: 99%

Compressibility effects on energy exchange mechanisms in a spatially developing plane free shear layer

Peyvan

Ghiasi

et al. 2021

J. Fluid Mech.

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“…The computational domain, as illustrated in figure 1 (left), has a streamwise extent 200,200], similar to the domain setup used by Sharma et al (2011). The splitter plate has an elliptic trailing edge with eccentricity of 0.866, with its tip positioned at the origin, x/w = y/w = 0.…”

Section: Computational Approachmentioning

confidence: 99%

“…For forced flow, periodic heating is introduced from the actuator placed at the elliptic trailing edge by specifying an oscillatory heat flux boundary condition at a frequency f + . of x/w ∈ [−15, 400] and a maximum vertical extent of y/w ∈ [−200, 200], similar to the domain setup used by Sharma et al (2011). The splitter plate has an elliptic trailing edge with eccentricity of 0.866, with its tip positioned at the origin, x/w = y/w = 0.…”

Section: Computational Approachmentioning

confidence: 99%

Laminar free shear layer modification using localized periodic heating

2017

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The application of local periodic heating for controlling a spatially developing shear layer downstream of a finite-thickness splitter plate is examined by numerically solving the two-dimensional Navier-Stokes equations. At the trailing edge of the plate, oscillatory heat flux boundary condition is prescribed as the thermal forcing input to the shear layer. The thermal forcing introduces low level of oscillatory surface vorticity flux and baroclinic vorticity at the actuation frequency in the vicinity of the trailing edge. The produced vortical perturbations can independently excite the fundamental instability that accounts for shear layer roll-up as well as the subharmonic instability that encourages the vortex pairing process farther downstream. We demonstrate that the nonlinear dynamics of a spatially developing shear layer can be modified by local oscillatory heat flux as a control input. We believe that this study provides a basic foundation for flow control using thermal-energy-deposition-based actuators such as thermophones and plasma actuators.Comment: 28 pages, 24 figures, accepted by Journal of Fluid Mechanic

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Large-Eddy Simulation of Supersonic, Turbulent Mixing Layers Downstream of a Splitter Plate

Cited by 13 publications

References 48 publications

Early evolution of the compressible mixing layer issued from two turbulent streams

Early evolution of the compressible mixing layer issued from two turbulent streams

Compressibility effects on energy exchange mechanisms in a spatially developing plane free shear layer

Laminar free shear layer modification using localized periodic heating

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