Vortex Combustion Chamber Development For Future Liquid Rocket Engine Applications

Chiaverini, Martin J.; Malecki, Matthew; Sauer, Jörg; Knuth, William; Hall, Christopher D.

doi:10.2514/6.2002-4149

Cited by 45 publications

(21 citation statements)

References 6 publications

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“…This confirms the validity of our spherical solution. For a numerical verification, it may be instructive to present a sample of the results obtained by an independent group of investigators who employed a computational fluid dynamics code [26,33]. This code specializes in solving the coupled, three-dimensional Navier-Stokes equations for a chemically reactive, multi-phase and compressible flow.…”

Section: Comparison To Earlier Workmentioning

confidence: 99%

“…Recently, an efficient cooling method has been proposed by Chiaverini and co- workers [26][27][28] who have managed to reproduce cyclonic motion inside a liquid rocket engine (see Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

“…The engendered thermal blanket protects the chamber wall from fluctuating heating loads. The attendant lowering of wall temperatures is sufficiently efficient to the extent that a laboratory test using a fuel-rich Hydrogen-Oxygen combustion could be safely sustained in a Plexiglas model of this engine [26][27][28]. The thermal protection feature not only reduces cooling requirements but leads to appreciable cost reduction, prolonged life, more flexibility in material selection, and reduced weight.…”

Section: Introductionmentioning

confidence: 99%

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On the bidirectional vortex and other similarity solutions in spherical coordinates

Majdalani

Rienstra

2006

Z. angew. Math. Phys.

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The bidirectional vortex refers to the bipolar, coaxial swirling motion that can be triggered, for example, in cyclone separators and some liquid rocket engines with tangential aft-end injectors. In this study, we present an exact solution to describe the corresponding bulk motion in spherical coordinates. To do so, we examine both linear and nonlinear solutions of the momentum and vorticity transport equations in spherical coordinates. The assumption will be that of steady, incompressible, inviscid, rotational, and axisymmetric flow. We further relate the vorticity to some power of the stream function. At the outset, three possible types of similarity solutions are shown to fulfill the momentum equation. While the first type is incapable of satisfying the conditions for the bidirectional vortex, it can be used to accommodate other physical settings such as Hill's vortex. This case is illustrated in the context of inviscid flow over a sphere. The second leads to a closed-form analytical expression that satisfies the boundary conditions for the bidirectional vortex in a straight cylinder. The third type is more general and provides multiple solutions. The spherical bidirectional vortex is derived using separation of variables and the method of variation of parameters. The three-pronged analysis presented here increases our repertoire of general mean flow solutions that rarely appear in spherical geometry. It is hoped that these special forms will permit extending the current approach to other complex fluid motions that are easier to capture using spherical coordinates.

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Section: Comparison To Earlier Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the bidirectional vortex and other similarity solutions in spherical coordinates

Majdalani

Rienstra

2006

Z. angew. Math. Phys.

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“…(6)-(9) represent a corrected form of the Bloor-Ingham solution according to Barber & Majdalani (2009). Chiaverini et al (2002). In this vortex-driven engine, the swirling motion of the oxidizer insulates the sidewalls against thermal loading, thus leading to a substantial reduction in engine weight.…”

Section: Bidirectional Solutionsmentioning

confidence: 99%

Characterization of the Bidirectional Vortex Using Particle Image Velocimetry

Maicke¹,

Majdalani²

2012

The Particle Image Velocimetry - Characteristics, Limits and Possible Applications

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“…Prompted by this relative dearth of analytical models, Vyas & Majdalani (2006) initiated the development of an inviscid model of the bidirectional vortex in the context of a propulsive application (Chiaverini et al 2002). Over time, their model was refined to include increasingly more realistic effects.…”

mentioning

confidence: 99%

On the compressible bidirectional vortex in a cyclonically driven Trkalian flow field

2017

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In this study, the Bragg-Hawthorne equation (BHE) is extended in the context of a steady, inviscid and compressible fluid, thus leading to an assortment of partial differential equations that must be solved simultaneously. A solution is pursued by implementing a Rayleigh-Janzen expansion in the square of the reference Mach number. The corresponding formulation is subsequently used to derive a compressible approximation for the Trkalian model of the bidirectional vortex. The approximate solution is compared to a representative computational fluid dynamics simulation in order to validate the modelling assumptions under realistic conditions. The latter is found to exhibit an appreciable steepening of the axial velocity profile, which is accompanied by an axial dependence in the mantle location that is somewhat reminiscent of the radial shifting of mantles reported in some experimental trials and simulations. In this context, flows with a strong swirl intensity do not seem to be significantly affected by the introduction of compressibility. Rather, as the swirl intensity is reduced the effects of compressibility become more noticeable, especially in the axial and radial velocity components. It may also be realized that imparting a progressively larger swirl component stands to promote the axisymmetric distribution of flow field properties, and these include an implicit resistance to dilatational effects in the tangential direction. From a broader perspective, this study provides a viable approximation to the Trkalian motion associated with cyclonic flows, while serving as a limited proof of concept for the compressible Bragg-Hawthorne procedure applied to a steady, axisymmetric and inviscid fluid.

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Vortex Combustion Chamber Development For Future Liquid Rocket Engine Applications

Cited by 45 publications

References 6 publications

On the bidirectional vortex and other similarity solutions in spherical coordinates

On the bidirectional vortex and other similarity solutions in spherical coordinates

Characterization of the Bidirectional Vortex Using Particle Image Velocimetry

On the compressible bidirectional vortex in a cyclonically driven Trkalian flow field

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