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An Equation-of-State Tabulation Approach for Injectors with Non-Condensable Gases: Development and Analysis

Bode, Mathis and Satcunanathan, Sutharsan and Maeda, Kazuki and Colonius, Tim and Pitsch, Heinz (2018) An Equation-of-State Tabulation Approach for Injectors with Non-Condensable Gases: Development and Analysis. In: Proceedings of the 10th Symposium on Cavitation (CAV2018). American Society of Mechanical Engineers , New York, NY, pp. 45-50. ISBN 9780791861851. http://resolver.caltech.edu/CaltechAUTHORS:20190709-092100057

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Abstract

In this work, a general equation-of-state (EOS) tabulation method is presented, which allows arbitrary combinations of EOSs in different phases and can be used with single-phase flow solvers by adding one additional transport equation for the total partial density of all non-condensable gases. The new tabulation method assumes instantaneous equilibrium for all phase change processes and uses Legendre transformation to construct the convex hull of the energy surface. Newton iterations are applied to improve the accuracy within the tabulation step as well as of the data retrieved at runtime. A high-order 5-equation multiphase solver with stiffened-gas equations as EOS for all phases and with the ability to use different time scales for the relaxation processes between liquid and vapor phase is used to discuss the full equilibrium assumption of the tabulation approach. Furthermore, results using different EOSs for the tabulation are compared. The implication of choosing a stiffened-gas equation or a cubic EOS, such as the Peng Robinson equation for the vapor phase, on the saturation quantities is discussed. A nozzle simulation performed under typical gasoline direct injection (GDI) conditions is finally used to demonstrate the advantages of the new tabulation method and to evaluate additional computational cost.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1115/1.861851_ch10DOIBook Chapter
ORCID:
AuthorORCID
Maeda, Kazuki0000-0002-5729-6194
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2018 The American Society of Mechanical Engineers. The authors gratefully acknowledge funding by the Cluster of Excellence "Tailor-Made Fuels from Biomass" and Honda R&D.
Funders:
Funding AgencyGrant Number
Excellence Cluster UniverseUNSPECIFIED
Honda Research Institute EuropeUNSPECIFIED
Subject Keywords:Equation-of-State; Homogeneous Equilibrium Model; Cavitation; Non-Condensable Gases; Injector Flows; Homogeneous Relaxation Model
Record Number:CaltechAUTHORS:20190709-092100057
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190709-092100057
Official Citation:Bode, Mathis, , Satcunanathan, Sutharsan, , Maeda, Kazuki, , Colonius, Tim, , Pitsch, Heinz,, 2018. "An Equation of State Tabulation Approach for Injectors with Non-Condensable Gases: Development and Analysis," Proceedings of the 10th International Symposium on Cavitation (CAV2018), Joseph Katz, ASME, New York, 6 pp.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96963
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:10 Jul 2019 22:37
Last Modified:10 Jul 2019 22:56

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