Comparison of Tabulation and Correlated Dynamic Evaluation of Real Fluid Properties for Supercritical Mixing

Yang, Suo; Li, Yixing; Wang, Xingjian; Unnikrishnan, Umesh; Yang, Vigor; Sun, Wenting

doi:10.2514/6.2017-4858

Cited by 15 publications

(4 citation statements)

References 47 publications

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“…Matheis and Hickel 24 used a combined VLE-LES model to study inert mixing of dodecane and nitrogen. For most of the multidimensional numerical simulations carried out in the literature so far, 19,22,[24][25][26][27][28][29][30] a diffuse interface method is used where surface tension effects are neglected.…”

Section: Introductionmentioning

confidence: 99%

Phase separation analysis in supercritical injection using large-eddy-simulation and vapor-liquid-equilibrium

Banuti¹,

Peter²,

Ihme³

2017

53rd AIAA/SAE/ASEE Joint Propulsion Conference

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Injection at pressures exceeding the propellant critical pressures is typically considered a diffuse interface mixing process rather than a sharp interface break-up. However, this is not necessarily the case in mixtures where the local mixture critical pressure may exceed the value of the pure components. So far, there is no canonical theoretical or computational model to analyze local phase separation under these conditions. In the present paper, we propose to separate the problem into two aspects: determination of local mixture temperature and composition, and analysis of the local thermochemical state. We calculate transport of mass, momentum, energy, and species using a large-eddy simulation (LES) method to obtain an accurate local state. This local state is then assessed via a vapor-liquid equilibrium solution using the Peng-Robinson equation of state. We apply this methodology to three technically relevant mixing problems at propellant supercritical pressures: inert nitrogen/n-dodecane injection, an inert liquid oxygen/gaseous hydrogen shear layer, and a reacting liquid oxygen/gaseous hydrogen shear layer. The last case represents the first phase analysis of a reacting case; we show that it can be reduced to the binary mixing of oxygen and water. Counterintuitively, the reacting LOX/GH2 shear layer is more susceptible to phase separation than the inert mixing case, despite the high temperatures reached in the flame. Finally, we compare the mixture critical loci obtained from the canonical computational fluid dynamics mixing rules with results obtained from vapor liquid equilibrium calculations, and show that both are fundamentally, qualitatively different.

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Section: Introductionmentioning

confidence: 99%

Phase separation analysis in supercritical injection using large-eddy-simulation and vapor-liquid-equilibrium

Banuti¹,

Peter²,

Ihme³

2017

53rd AIAA/SAE/ASEE Joint Propulsion Conference

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show abstract

“…Some subsonic, sonic, or supersonic regions may appear due to shock and expansion waves (Courant and Friedrichs, 1999). Indeed, these phenomena are characterized by the violent variations of local Mach number, the large density gradient across liquid and gas phases, the intense compressibility and gas solubility effects, as well as the phase change and non-ideal thermodynamic properties (Yang et al, 2017). Especially, the phase change adds more complexity to the two-phase flow simulation, such as cavitation, strong shock or flash boiling phenomena.…”

Section: Introductionmentioning

confidence: 99%

A multicomponent real-fluid fully compressible four-equation model for two-phase flow with phase change

Yang

Habchi

et al. 2019

Physics of Fluids

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A fully compressible four-equation model for multicomponent two-phase flow coupled with a realfluid phase equilibrium-solver is suggested. It is composed of two mass, one momentum, and one energy balance equations under the mechanical and thermal equilibrium assumptions. The multicomponent characteristics in both liquid and gas phases are considered. The thermodynamic properties are computed using a composite equation of state (EoS), in which each phase follows its own Peng-Robinson (PR) EoS in its range of convexity, and the two-phase mixtures are connected with a set of algebraic equilibrium constraints. The drawback of complex speed of sound region for the two-phase mixture is avoided using this composite EoS. The phase change is computed using a phase equilibrium-solver, in which the phase stability is examined by the Tangent Plane Distance (TPD) approach; an isoenergetic-isochoric (UVn) flash including an isothermal-isobaric (TPn) flash is applied to determine the phase change. This four-equation model has been implemented into an inhouse IFP-C3D software. Extensive comparisons between the four-equation model predictions, experimental measurements in flash boiling cases, as well as available numerical results were carried out, and good agreements have been obtained. The results demonstrated that this four-equation model can simulate the phase change and capture most real-fluid behaviors for multicomponent two-phase flows. Finally, this validated model was applied to investigate the behaviors of n-dodecane/nitrogen mixtures in one-dimensional shock and double-expansion tubes. The complex wave patterns were unraveled, and the effects of dissolved nitrogen and the volume translation in PR EoS on the wave evolutions were revealed. A three-dimensional transcritical fuel injection is finally simulated to highlight the performance of the proposed four-equation model for multidimensional flows.

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“…To study transcritical flows numerically, diffused interface methods have been widely used and different numerical schemes have been adopted [19,20,21,22,23,24,25,26,27,28]. The surface tension force is typically not considered in these solvers.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis on mixing processes for transcritical real-fluid simulations

Peter

Banuti

et al. 2018

2018 AIAA Aerospace Sciences Meeting

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The accurate and robust simulation of transcritical real-fluid flows is crucial for many engineering applications. Diffused interface methods are frequently employed and several numerical schemes have been developed for simulating transcritical flows. These schemes can be categorized into two types, namely fully conservative and quasi-conservative schemes. An adaptive scheme which is a hybrid of the two is developed in this study. By considering several numerical test cases, it is shown that different schemes predict distinctly different mixing behaviors. It is shown that the mixing processes follow the isobaric-adiabatic and isobaric-isochoric mixing models for fully and quasi-conservative schemes, respectively, and the adaptive scheme yields a mixing behavior that spans both models. The distinct mixing behaviors are a consequence of numerical diffusion instead of physical diffusion and can be attributed to insufficient numerical spatial resolution. This work provides a better understanding on the interpretation of numerical simulation results and the mixing models that are commonly used to study transcritical flows.

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Comparison of Tabulation and Correlated Dynamic Evaluation of Real Fluid Properties for Supercritical Mixing

Cited by 15 publications

References 47 publications

Phase separation analysis in supercritical injection using large-eddy-simulation and vapor-liquid-equilibrium

Phase separation analysis in supercritical injection using large-eddy-simulation and vapor-liquid-equilibrium

A multicomponent real-fluid fully compressible four-equation model for two-phase flow with phase change

Numerical analysis on mixing processes for transcritical real-fluid simulations

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