Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions
Large Eddy Simulations of liquid O<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula>/gaseous...
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MDPI AG
2023-01-01
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author | Thomas Schmitt Sébastien Ducruix |
author_facet | Thomas Schmitt Sébastien Ducruix |
author_sort | Thomas Schmitt |
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description | Large Eddy Simulations of liquid O<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula>/gaseous H<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> coaxial flames at subcritical pressure conditions are reported in this paper. These simulations reproduce the experimental Mascotte cases A1, A10 and A30, operating at 1, 10 and 30 bar, respectively, and for which temperature measurements and experimental visualisations are available. The main objective of this work is to assess the accuracy of the multi-fluid Homogeneous Equilibrium Model (HEM) described in Pelletier et al. (Computers & Fluids, 2020) for rocket engine applications. Of particular interest is the comparison with the experimental temperature measurements from Grisch et al. (Aerospace science and technology, 2003). To that purpose, numerical simulations are conducted with care, in order to ensure a proper statistical convergence and estimate the influence of the grid resolution for each case. Despite the crude assumptions—no surface tension and no atomisation model, for instance—that are made with the HEM used in this work, results are found to be in reasonable agreements with the measurements for case A10, even with the coarser grid. For case A30, a fine mesh resolution is required to capture the low intensity recirculation zone downstream of the inner jet necessary to reproduce the shape of the experimental profile. Finally, case A1 simulations, with the lowest Weber number, show large departures with the experimental measurements. This is expected to be due to a deficiency of the model to properly reproduce the two-phase dispersed flow. |
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spelling | doaj.art-dbb8a0df78a0416d9c86534556b760cb2023-11-16T18:26:33ZengMDPI AGAerospace2226-43102023-01-011029810.3390/aerospace10020098Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical ConditionsThomas Schmitt0Sébastien Ducruix1CNRS, Laboratoire EM2C 3, Université Paris-Saclay, CentraleSupélec, rue Joliot Curie, 91190 Gif-sur-Yvette, FranceCNRS, Laboratoire EM2C 3, Université Paris-Saclay, CentraleSupélec, rue Joliot Curie, 91190 Gif-sur-Yvette, FranceLarge Eddy Simulations of liquid O<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula>/gaseous H<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> coaxial flames at subcritical pressure conditions are reported in this paper. These simulations reproduce the experimental Mascotte cases A1, A10 and A30, operating at 1, 10 and 30 bar, respectively, and for which temperature measurements and experimental visualisations are available. The main objective of this work is to assess the accuracy of the multi-fluid Homogeneous Equilibrium Model (HEM) described in Pelletier et al. (Computers & Fluids, 2020) for rocket engine applications. Of particular interest is the comparison with the experimental temperature measurements from Grisch et al. (Aerospace science and technology, 2003). To that purpose, numerical simulations are conducted with care, in order to ensure a proper statistical convergence and estimate the influence of the grid resolution for each case. Despite the crude assumptions—no surface tension and no atomisation model, for instance—that are made with the HEM used in this work, results are found to be in reasonable agreements with the measurements for case A10, even with the coarser grid. For case A30, a fine mesh resolution is required to capture the low intensity recirculation zone downstream of the inner jet necessary to reproduce the shape of the experimental profile. Finally, case A1 simulations, with the lowest Weber number, show large departures with the experimental measurements. This is expected to be due to a deficiency of the model to properly reproduce the two-phase dispersed flow.https://www.mdpi.com/2226-4310/10/2/98large-eddy simulationcryogenic coaxial flamestwo-phase flow |
spellingShingle | Thomas Schmitt Sébastien Ducruix Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions Aerospace large-eddy simulation cryogenic coaxial flames two-phase flow |
title | Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions |
title_full | Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions |
title_fullStr | Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions |
title_full_unstemmed | Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions |
title_short | Evaluation of Large-Eddy Simulation Coupled with an Homogeneous Equilibrium Model for the Prediction of Coaxial Cryogenic Flames under Subcritical Conditions |
title_sort | evaluation of large eddy simulation coupled with an homogeneous equilibrium model for the prediction of coaxial cryogenic flames under subcritical conditions |
topic | large-eddy simulation cryogenic coaxial flames two-phase flow |
url | https://www.mdpi.com/2226-4310/10/2/98 |
work_keys_str_mv | AT thomasschmitt evaluationoflargeeddysimulationcoupledwithanhomogeneousequilibriummodelforthepredictionofcoaxialcryogenicflamesundersubcriticalconditions AT sebastienducruix evaluationoflargeeddysimulationcoupledwithanhomogeneousequilibriummodelforthepredictionofcoaxialcryogenicflamesundersubcriticalconditions |