Numerical simulation of mixing enhancement in a hot supersonic jet

Grosch, C. E.; Seiner, J. M.; Hussaini, M. Y.; Jackson, T. L.

doi:10.1063/1.869203

Cited by 31 publications

(12 citation statements)

References 11 publications

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“…This strongly resembles the iso-streamwise velocity contours in Görtler vortices Lee & Liu 1992), which is expected from similarity considerations at least for an incompressible steady streamwise vortex flow . Grosch et al (1997) numerically simulated the presence of small tabs in a hot supersonic twodimensional jet. An empirical relation was used to model the presence of tabs by introducing a pair of incompressible, counter-rotating vortices as upstream condition.…”

Section: Description Of the Nonlinear Momentum Problemmentioning

confidence: 99%

An extended Reynolds analogy for excited wavy instabilities of developing streamwise vortices with applications to scalar mixing intensification

Liu

2007

Proc. R. Soc. A.

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Studies are presented to elucidate the role of steady streamwise vortex structures, initiated upstream from weak Görtler vortices in the absence of explicit vortex generators, and their excited nonlinear wavy instabilities in the intensification of scalar mixing in a spatially developing mixing region. While steady streamwise vortex flow gives rise to significant mixing enhancement, the excited nonlinear wavy instabilities, which in turn modify the basic three-dimensional streamwise vortices, give rise to further mixing intensification which is quantitatively assessed by a mixedness parameter. Possibility of similarity between the dimensionless streamwise momentum and scalar transport problems leading to an extended Reynolds analogy is sought. This similarity is shown earlier to hold for the steady streamwise vortex flow in the absence of nonlinear wavy instabilities (Liu & Sabry 1991 Proc. R. Soc. A 432, 1-12). In this paper, the momentum conservation equations for the nonlinear wavy or secondary instabilities together with the advected fluctuation scalar problems are examined in detail. The presence of the streamwise fluctuation pressure gradient, which prevents the similarity, is estimated in terms of the fluctuation dynamical pressure and its relative importance to advective transport. It is found from scaling that the fluctuating streamwise pressure gradient, though not completely negligible, is sufficiently unimportant so as to render similarity between fluctuation streamwise velocity and fluctuation temperature and concentration a distinct possibility. The scalar fluctuations are then inferable from the fluctuation streamwise velocity and that the Reynolds stresses of the nonlinear fluctuations and the scalar fluxes are also similar. The nonlinear instabilitymodified mean streamwise momentum and the modified mean heat and mass transport problems are also similar, thus providing a complete 'Reynolds analogy', rendering possible the interpretation of the scalar mixedness for a gaseous medium for which the Prandtl and Schmidt numbers are near unity. It is found that the nonlinearity of the wavy instability, which induces scalar fluxes modifying the mean scalar transport, further intensifies scalar mixedness over a significant streamwise region which is well above that achieved by the steady, unmodified streamwise vortices alone for the numerical example corresponding to the most amplified wavy-sinuous mode.

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Section: Description Of the Nonlinear Momentum Problemmentioning

confidence: 99%

An extended Reynolds analogy for excited wavy instabilities of developing streamwise vortices with applications to scalar mixing intensification

Liu

2007

Proc. R. Soc. A.

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“…1 shows a preliminary application of volume LIC to the visualization of a 3D flow. The depicted data represents a numerical simulation [10] of a hot, supersonic, laminar jet (temperature = 490K, Mach number = 1.57) exiting into a colder, subsonic coflow (temperature = 300K, Mach number = 0.63); the objective of the simulation is to investigate the potential effectiveness of using tabs in jets to reduce engine noise.…”

Section: Defining the Input Texturementioning

confidence: 99%

Strategies for effectively visualizing 3D flow with volume LIC

Interrante¹,

Grosch

Proceedings. Visualization '97 (Cat. No. 97CB36155)

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This paper discusses strategies for effectively portraying 3D flow using volume line integral convolution. Issues include defining an appropriate input texture, clarifying the distinct identities and relative depths of the advected texture elements, and selectively highlighting regions of interest in both the input and output volumes. Apart from offering insights into the greater potential of 3D LIC as a method for effectively representing flow in a volume, a principal contribution of this work is the suggestion of a technique for generating and rendering 3D visibilityimpeding "halos" that can help to intuitively indicate the presence of depth discontinuities between contiguous elements in a projection and thereby clarify the 3D spatial organization of elements in the flow. The proposed techniques are applied to the visualization of a hot, supersonic, laminar jet exiting into a colder, subsonic coflow.

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“…This is illustrated in Figure 2 nozzle. Later analyses 2,3,11,14,15,16 reject the nozzle lip thickness correction and implement a mixing layer between the primary and secondary streams. Emanuel 18 compares the one-dimensional analysis of supersonic air to air ejectors to where the incoming secondary flow is supersonic.…”

Section: Seminal Workmentioning

confidence: 99%

“…The concept of viscous mixing between tangential flows is a topic which has been investigated extensively 2,3,16,21 …”

Section: Shear Layersmentioning

confidence: 99%

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Numerical Examination of Flow Field Characteristics and Fabri Choking of 2D Supersonic Ejectors

Morham

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Numerical Examination of Flow Field Characteristics and Fabri Choking of 2D Supersonic Ejectors Brett MorhamAn automated computer simulation of the two-dimensional planar Cal Poly Supersonic Ejector test rig is developed. The purpose of the simulation is to identify the operating conditions which produce the saturated, Fabri choke and Fabri block aerodynamic flow patterns. The effect of primary to secondary stagnation pressure ratio on the efficiency of the ejector operation is measured using the entrainment ratio which is the secondary to primary mass flow ratio.

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Numerical simulation of mixing enhancement in a hot supersonic jet

Cited by 31 publications

References 11 publications

An extended Reynolds analogy for excited wavy instabilities of developing streamwise vortices with applications to scalar mixing intensification

An extended Reynolds analogy for excited wavy instabilities of developing streamwise vortices with applications to scalar mixing intensification

Strategies for effectively visualizing 3D flow with volume LIC

Numerical Examination of Flow Field Characteristics and Fabri Choking of 2D Supersonic Ejectors

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