Volume-translated Peng-Robinson equation of state for liquid densities of diverse binary mixtures

Abudour, Agelia M.; Mohammad, Sayeed A.; Robinson, Robert L.; Gasem, Khaled A. M.

doi:10.1016/j.fluid.2013.04.002

Cited by 45 publications

(44 citation statements)

References 129 publications

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“…The effect of pressure fluctuations and real-gas thermodynamics is thus not reflected in the species composition of the flame structure. However, we solve an enthalpy transport equation and calculate the thermodynamic properties in the LES using the real-gas thermodynamics models based on the volume correction of Abudour et al [14]. Figure 2 shows the result of a CH 4 /O 2 flamelet simulation at χ st ≈ 0 and p = 5.61 MPa.…”

Section: Flamelet Model For Real Fluidsmentioning

confidence: 99%

“…These methods have the advantage to improve the predictive quality of cubic EoSs for near-critical conditions without a significant degradation of their good computational performance. In the present work, we employ the volume-translation method of Abudour et al [14] which is based on the work of Chou and Prausnitz [15]. This method has already been used in our previous LES studies of supercritical nitrogen injection [16] as well as of inert coaxial LN 2 /GH 2 injection [17].…”

Section: Introductionmentioning

confidence: 99%

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A flamelet model for transcritical LOx/GCH₄flames

Müller

Pfitzner

2017

J. Phys.: Conf. Ser.

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Abstract. This work presents a numerical framework to efficiently simulate methane combustion at supercritical pressures. A LES flamelet approach is adapted to account for real-gas thermodynamics effects which are a prominent feature of flames at near-critical injection conditions. The thermodynamics model is based on the Peng-Robinson equation of state (PR-EoS) in conjunction with a novel volume-translation method to correct deficiencies in the transcritical regime. The resulting formulation is more accurate than standard cubic EoSs without deteriorating their good computational performance. To consistently account for pressure and strain fluctuations in the flamelet model, an additional enthalpy equation is solved along with the transport equations for mixture fraction and mixture fraction variance. The method is validated against available experimental data for a laboratory scale LOx/GCH 4 flame at conditions that resemble those in liquid-propellant rocket engines. The LES result is in good agreement with the measured OH * radiation. IntroductionTodays main stage liquid-propellant rocket engines (LRE) typically operate at supercritical pressures, i.e., at chamber pressures that exceed the critical pressure of the propellants, and at cryogenic injection temperatures. One or both of the propellants are thus injected at near-critical conditions and mixing, ignition and combustion are affected by non-ideal thermodynamic effects. In particular, the thermodynamic-and transport properties, e.g., density, enthalpy, viscosity, are highly non-linear functions of temperature and pressure. Moreover, the experiments of Mayer et al. [1,2] showed that the surface tension between liquid and vapor is diminished at sufficiently high pressures and mixing is characterized by continuous-phase diffusion rather than by two-phase spray atomization. In these diffusion mixing layers, the fluid properties change drastically and the density may vary by two orders of magnitude within a few micrometers.Such configurations pose a serious challenge for numerical as well as for experimental studies. At the same time, their investigation is important to better understand the involved processes and to develop tools that help in the design of LREs, but also of other high pressure combustion devices, such as novel Diesel motors or gas turbines. The topic received considerable attention in the last decade and several valuable experiments were carried out. Thorough overviews are given, for instance, by Oschwald et al. [5] focusing on the Mascotte testing facility. Along with the better understanding that has been generated by the experimental efforts, several groups developed models and numerical tools to perform simulations of near-critical mixing and combustion allowing for a detailed view on the flow. Among the first to conduct large-eddy simulations (LES) of supercritical injection was Oefelein and Yang [6] and later Zong et al. [7] as well as Oefelein [8]. These studies showed that the accurate treatment of thermodynamic non-idealities are ke...

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Section: Flamelet Model For Real Fluidsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A flamelet model for transcritical LOx/GCH₄flames

Müller

Pfitzner

2017

J. Phys.: Conf. Ser.

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“…However, especially at cryogenic temperatures, deficiencies are reported. 25,26 In the present work, we therefore employ the volume-translation method of Abudour et al 16 that considerably improves the accuracy of the density prediction at minimal extra computational cost. The basic principle is to shift the thermodynamic state of the fluid along its volume axis.…”

Section: Thermodynamic Modelsmentioning

confidence: 99%

“…An example is the volume-translation method of Harstad et al 13 that was used for LES of supercritical single-species injection. 14,15,11 In the present work, we employ the recently proposed volume-translation method of Abudour et al 16 for binary mixtures. It is based on the PR EoS and relates the volume shift to the distance between the mixture's pressure-volume isotherm and its critical point.…”

Section: Introductionmentioning

confidence: 99%

Large-Eddy Simulation of Coaxial LN2/GH2 Injection at Trans- and Supercritical Conditions

Müller

Pfitzner

Matheis

et al. 2015

53rd AIAA Aerospace Sciences Meeting

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The coaxial injection of liquid nitrogen (LN2) and preheated hydrogen (GH2) at supercritical pressures is studied using Large-Eddy Simulation (LES). The focus of the present work lies on the evaluation of real-gas thermodynamics models for binary mixtures at conditions that are similar to that in LOx/GH2 liquid rocket combustors. A novel volumetranslation method on the basis of the cubic Peng-Robinson equation of state is introduced for the use in multi-species LES and is tested for both trans-and supercritical injection conditions. The new method corrects the deficiencies of the Peng-Robinson equation of state in the transcritical regime at minimal extra computational cost. A comparison with available experimental data is encouraging.

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“…They reported lower average relative deviations for their model. Using a volume-translated Peng-Robinson equation of state, Abudour et al [29] studied the densities of diverse binary liquid mixtures over large ranges of pressures and temperatures. Using a volume-translated method with the SRK EoS, Frey et al [30] also studied the densities of various liquid mixtures over large ranges of pressures and temperatures and obtained satisfactory results.…”

Section: Introductionmentioning

confidence: 99%

Modeling of ionic liquid+polar solvent mixture molar volumes using a generalized volume translation on the Peng–Robinson equation of state

Sheikhi-Kouhsar

Bagheri

Raeissi

2015

Fluid Phase Equilibria

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Volume-translated Peng-Robinson equation of state for liquid densities of diverse binary mixtures

Cited by 45 publications

References 129 publications

A flamelet model for transcritical LOx/GCH₄flames

A flamelet model for transcritical LOx/GCH₄flames

Large-Eddy Simulation of Coaxial LN2/GH2 Injection at Trans- and Supercritical Conditions

Modeling of ionic liquid+polar solvent mixture molar volumes using a generalized volume translation on the Peng–Robinson equation of state

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Volume-translated Peng-Robinson equation of state for liquid densities of diverse binary mixtures

Cited by 45 publications

References 129 publications

A flamelet model for transcritical LOx/GCH4flames

A flamelet model for transcritical LOx/GCH4flames

Large-Eddy Simulation of Coaxial LN2/GH2 Injection at Trans- and Supercritical Conditions

Modeling of ionic liquid+polar solvent mixture molar volumes using a generalized volume translation on the Peng–Robinson equation of state

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A flamelet model for transcritical LOx/GCH₄flames

A flamelet model for transcritical LOx/GCH₄flames