Understanding the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions
Abstract
A generalized framework for multi-component liquid injections is presented to understand and predict the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions. The analysis focuses on the thermodynamic structure and the immiscibility state of representative gas-liquid interfaces. The most modern form of Helmholtz energy mixture state equation is utilized which exhibits a unique and physically consistent behavior over the entire two-phase regime of fluid densities. It is combined with generalized models for non-linear gradient theory and for liquid injections to quantify multi-component two-phase interface structures in global thermal equilibrium. Then, the Helmholtz free energy is minimized which determines the interfacial species distribution as a consequence. This minimal free energy state is demonstrated to validate the underlying assumptions of classic two-phase theory and spray atomization. However, under certain engine-relevant conditions for which corroborating experimental data are presented, this requirement for interfacial thermal equilibrium becomes unsustainable. A rigorously derived probability density function quantifies the ability of the interface to develop internal spatial temperature gradients in the presence of significant temperature differences between injected liquid and ambient gas. Then, the interface can no longer be viewed as an isolated system at minimal free energy. Instead, the interfacial dynamics become intimatelymore »
- Authors:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States). Combustion Research Facility
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1249075
- Alternate Identifier(s):
- OSTI ID: 1303248
- Report Number(s):
- SAND-2016-2790J; SAND2016-7816J
Journal ID: ISSN 1070-6631; PHFLE6; 637597
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 28; Journal Issue: 4; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Multicomponent; Gradient Theory; Supercritical; Spray atomization; Liquid injection
Citation Formats
Dahms, Rainer N. Understanding the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions. United States: N. p., 2016.
Web. doi:10.1063/1.4946000.
Dahms, Rainer N. Understanding the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions. United States. https://doi.org/10.1063/1.4946000
Dahms, Rainer N. Tue .
"Understanding the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions". United States. https://doi.org/10.1063/1.4946000. https://www.osti.gov/servlets/purl/1249075.
@article{osti_1249075,
title = {Understanding the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions},
author = {Dahms, Rainer N.},
abstractNote = {A generalized framework for multi-component liquid injections is presented to understand and predict the breakdown of classic two-phase theory and spray atomization at engine-relevant conditions. The analysis focuses on the thermodynamic structure and the immiscibility state of representative gas-liquid interfaces. The most modern form of Helmholtz energy mixture state equation is utilized which exhibits a unique and physically consistent behavior over the entire two-phase regime of fluid densities. It is combined with generalized models for non-linear gradient theory and for liquid injections to quantify multi-component two-phase interface structures in global thermal equilibrium. Then, the Helmholtz free energy is minimized which determines the interfacial species distribution as a consequence. This minimal free energy state is demonstrated to validate the underlying assumptions of classic two-phase theory and spray atomization. However, under certain engine-relevant conditions for which corroborating experimental data are presented, this requirement for interfacial thermal equilibrium becomes unsustainable. A rigorously derived probability density function quantifies the ability of the interface to develop internal spatial temperature gradients in the presence of significant temperature differences between injected liquid and ambient gas. Then, the interface can no longer be viewed as an isolated system at minimal free energy. Instead, the interfacial dynamics become intimately connected to those of the separated homogeneous phases. Hence, the interface transitions toward a state in local equilibrium whereupon it becomes a dense-fluid mixing layer. A new conceptual view of a transitional liquid injection process emerges from a transition time scale analysis. Close to the nozzle exit, the two-phase interface still remains largely intact and more classic two-phase processes prevail as a consequence. Further downstream, however, the transition to dense-fluid mixing generally occurs before the liquid length is reached. As a result, the significance of the presented modeling expressions is established by a direct comparison to a reduced model, which utilizes widely applied approximations but fundamentally fails to capture the physical complexity discussed in this paper.},
doi = {10.1063/1.4946000},
journal = {Physics of Fluids},
number = 4,
volume = 28,
place = {United States},
year = {Tue Apr 26 00:00:00 EDT 2016},
month = {Tue Apr 26 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 44 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Liquid Jet Instability and Atomization in a Coaxial Gas Stream
journal, January 2000
- Lasheras, J. C.; Hopfinger, E. J.
- Annual Review of Fluid Mechanics, Vol. 32, Issue 1
Structure and breakup properties of sprays
journal, December 1995
- Faeth, G. M.; Hsiang, L. -P; Wu, P. -K
- International Journal of Multiphase Flow, Vol. 21
On spray formation
journal, January 1999
- Marmottant, P.; Villermaux, E.
- Journal of Fluid Mechanics, Vol. 498
Modeling Primary Atomization
journal, January 2008
- Gorokhovski, Mikhael; Herrmann, Marcus
- Annual Review of Fluid Mechanics, Vol. 40, Issue 1
On the experimental investigation on primary atomization of liquid streams
journal, June 2008
- Dumouchel, Christophe
- Experiments in Fluids, Vol. 45, Issue 3
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
journal, September 2008
- Desjardins, Olivier; Moureau, Vincent; Pitsch, Heinz
- Journal of Computational Physics, Vol. 227, Issue 18
Theory of Particle Combustion at High Pressures
journal, November 1959
- Spalding, D. B.
- ARS Journal, Vol. 29, Issue 11
Fuel droplet vaporization and spray combustion theory
journal, January 1983
- Sirignano, William A.
- Progress in Energy and Combustion Science, Vol. 9, Issue 4
Advances in droplet array combustion theory and modeling
journal, June 2014
- Sirignano, William A.
- Progress in Energy and Combustion Science, Vol. 42
Evaporation and combustion of sprays
journal, January 1983
- Faeth, G. M.
- Progress in Energy and Combustion Science, Vol. 9, Issue 1-2
Mixing, transport and combustion in sprays
journal, January 1987
- Faeth, G.
- Progress in Energy and Combustion Science, Vol. 13, Issue 4
Recent advances in droplet vaporization and combustion
journal, January 1982
- Law, C. K.
- Progress in Energy and Combustion Science, Vol. 8, Issue 3
Mechanism of atomization of a liquid jet
journal, January 1982
- Reitz, R. D.
- Physics of Fluids, Vol. 25, Issue 10
An Interactively Coupled CFD-Multi-Zone Approach to Model HCCI Combustion
journal, February 2009
- Felsch, C.; Dahms, R.; Glodde, B.
- Flow, Turbulence and Combustion, Vol. 82, Issue 4
A comprehensive modeling study of in-cylinder fluid flows in a high-swirl, light-duty optical diesel engine
journal, December 2014
- Perini, Federico; Miles, Paul C.; Reitz, Rolf D.
- Computers & Fluids, Vol. 105
Review of high efficiency and clean reactivity controlled compression ignition (RCCI) combustion in internal combustion engines
journal, February 2015
- Reitz, Rolf D.; Duraisamy, Ganesh
- Progress in Energy and Combustion Science, Vol. 46
Effects of Real-Fluid Thermodynamics on High-Pressure Fuel Injection Processes
journal, April 2014
- Oefelein, Joseph; Lacaze, Guilhem; Dahms, Rainer
- SAE International Journal of Engines, Vol. 7, Issue 3
Fuel reactivity effects on the efficiency and operational window of dual-fuel compression ignition engines
journal, February 2014
- Splitter, Derek A.; Reitz, Rolf D.
- Fuel, Vol. 118
Detailed Modeling and Simulation of High-Pressure Fuel Injection Processes in Diesel Engines
journal, January 2012
- Oefelein, Joseph; Dahms, Rainer; Lacaze, Guilhem
- SAE International Journal of Engines, Vol. 5, Issue 3
Parametric study and optimization of a RCCI (reactivity controlled compression ignition) engine fueled with methanol and diesel
journal, February 2014
- Li, Yaopeng; Jia, Ming; Chang, Yachao
- Energy, Vol. 65
Advanced gasoline engine development using optical diagnostics and numerical modeling
journal, January 2007
- Drake, M. C.; Haworth, D. C.
- Proceedings of the Combustion Institute, Vol. 31, Issue 1
Invited Review: Combustion instability in spray-guided stratified-charge engines: A review
journal, February 2015
- Fansler, Todd D.; Reuss, David L.; Sick, Volker
- International Journal of Engine Research, Vol. 16, Issue 3
Detailed chemistry flamelet modeling of mixed-mode combustion in spark-assisted HCCI engines
journal, January 2011
- Dahms, R.; Felsch, C.; Röhl, O.
- Proceedings of the Combustion Institute, Vol. 33, Issue 2
On the ignition and flame development in a spray-guided direct-injection spark-ignition engine
journal, January 2014
- Peterson, Brian; Reuss, David L.; Sick, Volker
- Combustion and Flame, Vol. 161, Issue 1
Pollutant formation modelling in natural gas SI engines using a level set based flamelet model
journal, February 2008
- Dahms, R.; Peters, N.; Stanton, D. W.
- International Journal of Engine Research, Vol. 9, Issue 1
Early flame propagation in a spark-ignition engine measured with quasi 4D-diagnostics
journal, January 2015
- Peterson, B.; Baum, E.; Böhm, B.
- Proceedings of the Combustion Institute, Vol. 35, Issue 3
Detailed Simulations of Stratified Ignition and Combustion Processes in a Spray-Guided Gasoline Engine using the SparkCIMM/G-Equation Modeling Framework
journal, January 2012
- Dahms, Rainer N.; Drake, Michael C.; Grover, Ronald O.
- SAE International Journal of Engines, Vol. 5, Issue 2
In-Cylinder Flow and Fuel Spray Interactions in a Stratified Spray-Guided Gasoline Engine Investigated by High-Speed Laser Imaging Techniques
journal, September 2013
- Stiehl, R.; Schorr, J.; Krüger, C.
- Flow, Turbulence and Combustion, Vol. 91, Issue 3
Modeling ignition phenomena in spray-guided spark-ignited engines
journal, January 2009
- Dahms, R.; Fansler, T. D.; Drake, M. C.
- Proceedings of the Combustion Institute, Vol. 32, Issue 2
Flow field assessment in a fired spray-guided spark-ignition direct-injection engine based on UV particle image velocimetry with sub crank angle resolution
journal, January 2007
- Fajardo, Claudia; Sick, Volker
- Proceedings of the Combustion Institute, Vol. 31, Issue 2
Understanding ignition processes in spray-guided gasoline engines using high-speed imaging and the extended spark-ignition model SparkCIMM. Part A: Spark channel processes and the turbulent flame front propagation
journal, November 2011
- Dahms, Rainer N.; Drake, Michael C.; Fansler, Todd D.
- Combustion and Flame, Vol. 158, Issue 11
Understanding ignition processes in spray-guided gasoline engines using high-speed imaging and the extended spark-ignition model SparkCIMM
journal, November 2011
- Dahms, Rainer N.; Drake, Michael C.; Fansler, Todd D.
- Combustion and Flame, Vol. 158, Issue 11
Simulation of pollutant formation in a gas-turbine combustor using unsteady flamelets
journal, January 1998
- Barths, H.; Peters, N.; Brehm, N.
- Symposium (International) on Combustion, Vol. 27, Issue 2
Large Eddy Simulations of gaseous flames in gas turbine combustion chambers
journal, December 2012
- Gicquel, L. Y. M.; Staffelbach, G.; Poinsot, T.
- Progress in Energy and Combustion Science, Vol. 38, Issue 6
Large Eddy Simulation of combustion instabilities in a lean partially premixed swirled flame
journal, February 2012
- Franzelli, Benedetta; Riber, Eleonore; Gicquel, Laurent Y. M.
- Combustion and Flame, Vol. 159, Issue 2
Large-eddy simulation of spray combustion in a gas turbine combustor
journal, January 2014
- Jones, W. P.; Marquis, A. J.; Vogiatzaki, K.
- Combustion and Flame, Vol. 161, Issue 1
LES evaluation of the effects of equivalence ratio fluctuations on the dynamic flame response in a real gas turbine combustion chamber
journal, January 2013
- Hermeth, S.; Staffelbach, G.; Gicquel, L. Y. M.
- Proceedings of the Combustion Institute, Vol. 34, Issue 2
Experimental study of industrial gas turbine flames including quantification of pressure influence on flow field, fuel/air premixing and flame shape
journal, October 2013
- Stopper, Ulrich; Meier, Wolfgang; Sadanandan, Rajesh
- Combustion and Flame, Vol. 160, Issue 10
Injection and Mixing Processes in High-Pressure Liquid Oxygen/Gaseous Hydrogen Rocket Combustors
journal, September 2000
- Mayer, W.; Schik, A.; Schaffler, M.
- Journal of Propulsion and Power, Vol. 16, Issue 5
Atomization and Breakup of Cryogenic Propellants Under High-Pressure Subcritical and Supercritical Conditions
journal, September 1998
- Mayer, Wolfgang O. H.; Schik, Axel H. A.; Vielle, Bruno
- Journal of Propulsion and Power, Vol. 14, Issue 5
Propellant injection in a liquid oxygen/gaseous hydrogen rocket engine
journal, November 1996
- Mayer, Wolfgang; Tamura, Hiroshi
- Journal of Propulsion and Power, Vol. 12, Issue 6
Recent Experimental Efforts on High-Pressure Supercritical Injection for Liquid Rockets and Their Implications
journal, January 2012
- Chehroudi, Bruce
- International Journal of Aerospace Engineering, Vol. 2012
Visual characteristics and initial growth rates of round cryogenic jets at subcritical and supercritical pressures
journal, February 2002
- Chehroudi, B.; Talley, D.; Coy, E.
- Physics of Fluids, Vol. 14, Issue 2
Structure and Dynamics of Cryogenic Flames at Supercritical Pressure
journal, January 2006
- Candel*, S.; Juniper†, M.; Singla, G.
- Combustion Science and Technology, Vol. 178, Issue 1-3
Spreading Angle and Centerline Variation of Density of Supercritical Nitrogen jets
journal, January 2002
- Oschwald, M.; Micci, Michael M.
- Atomization and Sprays, Vol. 12, Issue 1-3
Injection of Fluids into Supercritical Environments
journal, January 2006
- Oschwald*, M.; Smith, J. J.; Branam, R.
- Combustion Science and Technology, Vol. 178, Issue 1-3
Mass transfer and combustion in transcritical non-premixed counterflows
journal, January 2009
- Pons, L.; Darabiha, N.; Candel, S.
- Combustion Theory and Modelling, Vol. 13, Issue 1
A posteriori study using a DNS database describing fluid disintegration and binary-species mixing under supercritical pressure: heptane and nitrogen
journal, February 2010
- Taskinoglu, Ezgi S.; Bellan, Josette
- Journal of Fluid Mechanics, Vol. 645
Subgrid-scale models and large-eddy simulation of oxygen stream disintegration and mixing with a hydrogen or helium stream at supercritical pressure
journal, May 2011
- TaŞKinoĞLu, Ezgi S.; Bellan, Josette
- Journal of Fluid Mechanics, Vol. 679
Theory, Modeling and Analysis of Turbulent Supercritical Mixing
journal, January 2006
- Bellan, Josette
- Combustion Science and Technology, Vol. 178, Issue 1-3
Evaluation of commonly used assumptions for isolated and cluster heptane drops in nitrogen at all pressures
journal, October 2001
- Harstad, K.; Bellan, J.
- Combustion and Flame, Vol. 127, Issue 1-2
Measurement and Prediction of Interfacial Tension of Binary Mixtures
journal, January 2010
- Nino-Amezquita, Oscar G.; Enders, Sabine; Jaeger, Philip T.
- Industrial & Engineering Chemistry Research, Vol. 49, Issue 2
Surface tension measurement of fuels and alkanes at high pressure under different atmospheres
journal, May 2004
- Dechoz, Jérôme; Rozé, Claude
- Applied Surface Science, Vol. 229, Issue 1-4
Investigation of Bulk and Interfacial Properties for Nitrogen and Light Hydrocarbon Binary Mixtures by Perturbed-Chain Statistical Associating Fluid Theory Combined with Density-Gradient Theory
journal, December 2009
- Liu, SongTao; Fu, Dong; Lu, JianYi
- Industrial & Engineering Chemistry Research, Vol. 48, Issue 23
Understanding high-pressure gas-liquid interface phenomena in Diesel engines
journal, January 2013
- Dahms, Rainer N.; Manin, Julien; Pickett, Lyle M.
- Proceedings of the Combustion Institute, Vol. 34, Issue 1
On the transition between two-phase and single-phase interface dynamics in multicomponent fluids at supercritical pressures
journal, September 2013
- Dahms, Rainer N.; Oefelein, Joseph C.
- Physics of Fluids, Vol. 25, Issue 9
Microscopic investigation of the atomization and mixing processes of diesel sprays injected into high pressure and temperature environments
journal, October 2014
- Manin, J.; Bardi, M.; Pickett, L. M.
- Fuel, Vol. 134
Evidence for supercritical mixing layers in the ECN Spray A
journal, January 2015
- Falgout, Zachary; Rahm, Mattias; Wang, Zhenkan
- Proceedings of the Combustion Institute, Vol. 35, Issue 2
Gas/fuel jet interfaces under high pressures and temperatures
journal, March 2016
- Falgout, Zachary; Rahm, Mattias; Sedarsky, David
- Fuel, Vol. 168
Non-equilibrium gas–liquid interface dynamics in high-pressure liquid injection systems
journal, January 2015
- Dahms, Rainer N.; Oefelein, Joseph C.
- Proceedings of the Combustion Institute, Vol. 35, Issue 2
Liquid jet breakup regimes at supercritical pressures
journal, October 2015
- Dahms, Rainer N.; Oefelein, Joseph C.
- Combustion and Flame, Vol. 162, Issue 10
A Linear Gradient Theory Model for Calculating Interfacial Tensions of Mixtures
journal, September 1996
- Zuo, You-Xiang; Stenby, Erling H.
- Journal of Colloid and Interface Science, Vol. 182, Issue 1
A New Functional Form and New Fitting Techniques for Equations of State with Application to Pentafluoroethane (HFC-125)
journal, March 2005
- Lemmon, Eric W.; Jacobsen, Richard T.
- Journal of Physical and Chemical Reference Data, Vol. 34, Issue 1
Gradient Theory simulations of pure fluid interfaces using a generalized expression for influence parameters and a Helmholtz energy equation of state for fundamentally consistent two-phase calculations
journal, May 2015
- Dahms, Rainer N.
- Journal of Colloid and Interface Science, Vol. 445
A rigorous method for predicting the critical properties of multicomponent systems from an equation of state
journal, March 1977
- Peng, Ding-yu; Robinson, Donald B.
- AIChE Journal, Vol. 23, Issue 2
The calculation of critical points
journal, September 1980
- Heidemann, Robert A.; Khalil, Ahmed M.
- AIChE Journal, Vol. 26, Issue 5
Numerical study of the transient vaporization of an oxygen droplet at sub- and super-critical conditions
journal, January 1993
- Delplanque, J. -P.; Sirignano, W. A.
- International Journal of Heat and Mass Transfer, Vol. 36, Issue 2
The GERG-2008 Wide-Range Equation of State for Natural Gases and Other Mixtures: An Expansion of GERG-2004
journal, October 2012
- Kunz, O.; Wagner, W.
- Journal of Chemical & Engineering Data, Vol. 57, Issue 11
Critical behavior in fluids and fluid mixtures
journal, January 1983
- Levelt Sengers, J. M. H.; Morrison, G.; Chang, R. F.
- Fluid Phase Equilibria, Vol. 14
Dilute mixtures and solutions near critical points
journal, January 1986
- Levelt Sengers, J. M. H.
- Fluid Phase Equilibria, Vol. 30
Mean-field theories, their weaknesses and strength
journal, June 1999
- Levelt Sengers, Johanna M. H.
- Fluid Phase Equilibria, Vol. 158-160
Free Energy of a Nonuniform System. I. Interfacial Free Energy
journal, February 1958
- Cahn, John W.; Hilliard, John E.
- The Journal of Chemical Physics, Vol. 28, Issue 2
Translation of J. D. van der Waals' ?The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density?
journal, February 1979
- Rowlinson, J. S.
- Journal of Statistical Physics, Vol. 20, Issue 2
Gradient theory modeling of surface tension for pure fluids and binary mixtures
journal, June 2007
- Lin, Hong; Duan, Yuan-Yuan; Min, Qi
- Fluid Phase Equilibria, Vol. 254, Issue 1-2
Modeling of the Surface Tension of Multicomponent Mixtures with the Gradient Theory of Fluid Interfaces
journal, April 2005
- Miqueu, Christelle; Mendiboure, Bruno; Graciaa, Alain
- Industrial & Engineering Chemistry Research, Vol. 44, Issue 9
Free-energy theory of inhomogeneous fluids
journal, September 1979
- McCoy, B. F.; Davis, H. T.
- Physical Review A, Vol. 20, Issue 3
Dynamical density functional theory of gas–liquid nucleation
journal, April 1994
- Talanquer, V.; Oxtoby, David W.
- The Journal of Chemical Physics, Vol. 100, Issue 7
Gas-liquid nucleation in a two dimensional system
journal, December 2008
- Santra, Mantu; Chakrabarty, Suman; Bagchi, Biman
- The Journal of Chemical Physics, Vol. 129, Issue 23
Nonclassical nucleation theory for the gas–liquid transition
journal, December 1988
- Oxtoby, David W.; Evans, R.
- The Journal of Chemical Physics, Vol. 89, Issue 12
Free Energy of a Nonuniform System. II. Thermodynamic Basis
journal, May 1959
- Cahn, John W.
- The Journal of Chemical Physics, Vol. 30, Issue 5
Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid
journal, September 1959
- Cahn, John W.; Hilliard, John E.
- The Journal of Chemical Physics, Vol. 31, Issue 3
Interfacial properties of selected binary mixtures containing n-alkanes
journal, August 2009
- Müller, Erich A.; Mejía, Andrés
- Fluid Phase Equilibria, Vol. 282, Issue 2
Phase and interface behaviors in type-I and type-V Lennard-Jones mixtures: Theory and simulations
journal, July 2005
- Mejía, Andrés; Pàmies, Josep C.; Duque, Daniel
- The Journal of Chemical Physics, Vol. 123, Issue 3
Simultaneous Application of the Gradient Theory and Monte Carlo Molecular Simulation for the Investigation of Methane/Water Interfacial Properties
journal, August 2011
- Miqueu, Christelle; Míguez, José M.; Piñeiro, Manuel M.
- The Journal of Physical Chemistry B, Vol. 115, Issue 31
On the phase and interface behavior along the three-phase line of ternary Lennard-Jones mixtures: A collaborative approach based on square gradient theory and molecular dynamics simulations
journal, July 2014
- Garrido, José Matías; Quinteros-Lama, Héctor; Piñeiro, Manuel M.
- The Journal of Chemical Physics, Vol. 141, Issue 1
Semiempirical theory of surface tension of binary systems
journal, September 1980
- Carey, B. S.; Scriven, L. E.; Davis, H. T.
- AIChE Journal, Vol. 26, Issue 5
Semiempirical theory of surface tensions of pure normal alkanes and alcohols
journal, November 1978
- Carey, B. S.; Scriven, L. E.; Davis, H. T.
- AIChE Journal, Vol. 24, Issue 6
Modelling of the surface tension of pure components with the gradient theory of fluid interfaces: a simple and accurate expression for the influence parameters
journal, May 2003
- Miqueu, C.; Mendiboure, B.; Graciaa, A.
- Fluid Phase Equilibria, Vol. 207, Issue 1-2
Modelling of the surface tension of binary and ternary mixtures with the gradient theory of fluid interfaces
journal, April 2004
- Miqueu, C.; Mendiboure, B.; Graciaa, C.
- Fluid Phase Equilibria, Vol. 218, Issue 2
Molecular theory of fluid interfaces
journal, December 1976
- Bongiorno, V.; Scriven, L. E.; Davis, H. T.
- Journal of Colloid and Interface Science, Vol. 57, Issue 3
Molecular theory of surface tension
journal, May 1976
- Yang, Arthur J. M.; Fleming, Paul D.; Gibbs, Julian H.
- The Journal of Chemical Physics, Vol. 64, Issue 9
Theoretical determination of the thickness of a liquid-vapour interface
journal, December 1978
- Lekner, J.; Henderson, J. R.
- Physica A: Statistical Mechanics and its Applications, Vol. 94, Issue 3-4
Investigation of the surface tension of methane and n-alkane mixtures by perturbed-chain statistical associating fluid theory combined with density-gradient theory
journal, May 2009
- Fu, Dong; Jiang, HongJuan; Wang, BaoSheng
- Fluid Phase Equilibria, Vol. 279, Issue 2
Interfacial tension and spreading coefficient under reservoir conditions
journal, January 1998
- Amin, Robert; Smith, Terence N.
- Fluid Phase Equilibria, Vol. 142, Issue 1-2
Current status of droplet and liquid combustion
journal, January 1977
- Faeth, G. M.
- Progress in Energy and Combustion Science, Vol. 3, Issue 4
Supercritical (and subcritical) fluid behavior and modeling: drops, streams, shear and mixing layers, jets and sprays
journal, August 2000
- Bellan, J.
- Progress in Energy and Combustion Science, Vol. 26, Issue 4-6
Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen
journal, January 1906
- von Smoluchowski, M.
- Annalen der Physik, Vol. 326, Issue 14
Free-path distribution and Knudsen-layer modeling for gaseous flows in the transition regime
journal, February 2015
- To, Quy Dong; Léonard, Céline; Lauriat, Guy
- Physical Review E, Vol. 91, Issue 2
Viscosity and slip velocity in gas flow in microchannels
journal, December 2005
- Fichman, M.; Hetsroni, G.
- Physics of Fluids, Vol. 17, Issue 12
An extended Navier-Stokes formulation for gas flows in the Knudsen layer near a wall
journal, September 2007
- Guo, Z. L.; Shi, B. C.; Zheng, C. G.
- Europhysics Letters (EPL), Vol. 80, Issue 2
Molecular free path distribution in rarefied gases
journal, March 2011
- Dongari, Nishanth; Zhang, Yonghao; Reese, Jason M.
- Journal of Physics D: Applied Physics, Vol. 44, Issue 12
Modeling of Knudsen Layer Effects in Micro/Nanoscale Gas Flows
journal, July 2011
- Dongari, Nishanth; Zhang, Yonghao; Reese, Jason M.
- Journal of Fluids Engineering, Vol. 133, Issue 7
Higher-order hydrodynamics: Extended Fick’s Law, evolution equation, and Bobylev’s instability
journal, January 2002
- Jou, David; Casas-Vázquez, José; Madureira, Justino R.
- The Journal of Chemical Physics, Vol. 116, Issue 4
Fractional Derivatives for Physicists and Engineers
book, January 2013
- Uchaikin, Vladimir V.
- Nonlinear Physical Science
The mean free path of gas molecules in the transition r$eacute$gime
journal, May 1970
- Stops, D. W.
- Journal of Physics D: Applied Physics, Vol. 3, Issue 5
Chord‐length and free‐path distribution functions for many‐body systems
journal, April 1993
- Lu, Binglin; Torquato, S.
- The Journal of Chemical Physics, Vol. 98, Issue 8
Lennard–Jones parameters for combustion and chemical kinetics modeling from full-dimensional intermolecular potentials
journal, January 2014
- Jasper, Ahren W.; Miller, James A.
- Combustion and Flame, Vol. 161, Issue 1
“Third-Body” collision efficiencies for combustion modeling: Hydrocarbons in atomic and diatomic baths
journal, January 2015
- Jasper, Ahren W.; Oana, C. Melania; Miller, James A.
- Proceedings of the Combustion Institute, Vol. 35, Issue 1
Constant surface tension simulations of lipid bilayers: The sensitivity of surface areas and compressibilities
journal, July 1999
- Feller, Scott E.; Pastor, Richard W.
- The Journal of Chemical Physics, Vol. 111, Issue 3
Comparison of Diesel Spray Combustion in Different High-Temperature, High-Pressure Facilities
journal, August 2010
- Pickett, Lyle M.; Genzale, Caroline L.; Bruneaux, Gilles
- SAE International Journal of Engines, Vol. 3, Issue 2
Liquid Fuels and Propellants for Aerospace Propulsion: 1903-2003
journal, November 2003
- Edwards, Tim
- Journal of Propulsion and Power, Vol. 19, Issue 6
Atomization and Dense-Fluid Breakup Regimes in Liquid Rocket Engines
journal, September 2015
- Dahms, Rainer N.; Oefelein, Joseph C.
- Journal of Propulsion and Power, Vol. 31, Issue 5
Atomic diffusion theory challenging the Cahn-Hilliard method
journal, October 2014
- Nastar, M.
- Physical Review B, Vol. 90, Issue 14
Transport properties for combustion modeling
journal, September 2011
- Brown, Nancy J.; Bastien, Lucas A. J.; Price, Phillip N.
- Progress in Energy and Combustion Science, Vol. 37, Issue 5
First-principles binary diffusion coefficients for H, H 2 , and four normal alkanes + N 2
journal, September 2014
- Jasper, Ahren W.; Kamarchik, Eugene; Miller, James A.
- The Journal of Chemical Physics, Vol. 141, Issue 12
Mechanism of Atomization of a Liquid jet
journal, January 1995
- Li, Xianguo
- Atomization and Sprays, Vol. 5, Issue 1
Current status of droplet and liquid combustion
book, January 1979
- Faeth, G. M.
- Energy and Combustion Science
Fluid Dynamics and Transport of Droplets and Sprays
journal, December 2000
- Yarin, L. P.
- International Journal of Multiphase Flow, Vol. 26, Issue 12
Pollutant formation modelling in natural gas SI engines using a level set based flamelet model
text, January 2008
- Dahms, Rainer Norbert Uwe; Peters, Norbert; Stanton, Donald W.
- RWTH Aachen University
Works referencing / citing this record:
A critical assessment of the line tension determined by the modified Young’s equation
journal, August 2018
- Zhang, Jun; Wang, Pengfei; Borg, Matthew K.
- Physics of Fluids, Vol. 30, Issue 8
A diffuse interface model for two-phase flows with phase transition
journal, September 2019
- Pan, Lun Sheng; Lou, Jing; Li, Hong Ying
- Physics of Fluids, Vol. 31, Issue 9
Large eddy simulations of diesel-fuel injection and auto-ignition at transcritical conditions
journal, December 2018
- Ihme, Matthias; Ma, Peter C.; Bravo, Luis
- International Journal of Engine Research, Vol. 20, Issue 1
Novel approach for adaptive coefficient tuning for the simulation of evaporating high-speed sprays injected into a high-temperature and high-pressure environment
journal, October 2019
- Nsikane, Dm; Vogiatzaki, K.; Morgan, Re
- International Journal of Engine Research, Vol. 21, Issue 7
High-Pressure Experiments Relevant to Rocket Propulsion
book, January 2020
- Sardeshmukh, S.; Huang, C.; Gejji, R.
- High-Pressure Flows for Propulsion Applications
Numerical Investigations of Phase-Separation During Multi-Component Mixing at Super-Critical Conditions
journal, December 2019
- Tudisco, P.; Menon, S.
- Flow, Turbulence and Combustion
Transition of subcritical liquid jets in single and multicomponent systems
journal, October 2018
- Ayyappan, Dhanesh; Vaidyanathan, Aravind; Muthukumaran, C. K.
- Physics of Fluids, Vol. 30, Issue 10
Study on instability of circular liquid jets at subcritical to supercritical conditions using dynamic mode decomposition
journal, January 2020
- Ayyappan, Dhanesh; S., Ajith Kumar; Vaidyanathan, Aravind
- Physics of Fluids, Vol. 32, Issue 1