Calculation of isentropic compressibility and sound velocity in two-phase fluids

Nichita, Dan Vladimir; Khalid, Perveiz; Broseta, Daniel

doi:10.1016/j.fluid.2009.12.022

Cited by 47 publications

(25 citation statements)

References 25 publications

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“…This basic derivation holds also for two-phase systems if one takes into account the phase split when evaluating the different properties and partial derivatives, for more details see Nichita et al [47]. From the Eq.…”

Section: Name Symbol Equationmentioning

confidence: 93%

“…In multi-phase systems this is not true anymore and the evaluation gets way more complicated. This is also true for measurements and therefore many researchers focus on the numerical investigation of the speed of sound in multi-component, multi-phase systems, e.g., Picard and Bishnoi [45], Firoozabadi and Pan [46], Nichita et al [47] and Castier [48]. A simplified and very popular method for calculating the speed of sound in two-phase systems is the correlation of Wood [49].…”

Section: Name Symbol Equationmentioning

confidence: 99%

“…This correlation is suitable to capture the basic trends of the variation of the speed of sound in the twophase region but misses the abrupt/discontinues changes at the phase boundaries, see Nichita et al [47] for a more thorough discussion. Different approaches can be found in literature to numerically/analytically calculate the thermodynamic speed of sound in two-phase mixtures [45,46,47,48].…”

Section: Name Symbol Equationmentioning

confidence: 99%

“…Different approaches can be found in literature to numerically/analytically calculate the thermodynamic speed of sound in two-phase mixtures [45,46,47,48]. In this study we follow the approach devised by Nichita et al [47] as it is a general and efficient numerical scheme [48].…”

Section: Name Symbol Equationmentioning

confidence: 99%

“…(20) only contains partial derivatives at constant temperature and pressure, respectively. Therefore, we followed the suggestion of Nichita et al [47] and calculate this partially derivatives numerically by applying T pnflashes at (p,T ± ) and (p ± ,T ). These flashes converge very fast within 1-2 Newton iterations, since an excellent initial guess is available from the hpn-flash performed during every iteration/time step (if the mixture was characterized unstable by the TPD-analysis).…”

Section: Name Symbol Equationmentioning

confidence: 99%

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A numerical framework implemented in the open-source tool OpenFOAM is presented in this work combining a hybrid, pressure-based solver with a vapor-liquid equilibrium model based on the cubic equation of state. This framework is used in the present work to investigate underexpanded jets at engine-relevant conditions where real-gas effects and mixture induced phase separation are probable to occur. A thorough validation and discussion of the applied vapor-liquid equilibrium model is conducted by means of general thermodynamic relations and measurement data available in the literature. Enginerelevant simulation cases for two different fuels were defined. Analyses of the flow field show that the used fuel has a first order effect on the occurrence of phase separation. In the case of phase separation two different effects could be revealed causing the single-phase instability, namely the strong expansion and the mixing of the fuel with the chamber gas. A comparison of single-phase and two-phase jets disclosed that the phase separation leads to a completely different penetration depth in contrast to single-phase injection and therefore commonly used analytical approaches fail to predict the penetration depth.

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Section: Name Symbol Equationmentioning

confidence: 93%

Section: Name Symbol Equationmentioning

confidence: 99%

Section: Name Symbol Equationmentioning

confidence: 99%

Section: Name Symbol Equationmentioning

confidence: 99%

Section: Name Symbol Equationmentioning

confidence: 99%

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Multiphase dynamic flash simulations using entropy maximization and application to compressible flow with phase change

2014

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A isochoric‐isoenergetic flash solver using a direct entropy maximization principle for phase splitting and Gibbs free energy minimization for phase stability is developed. The solver searches for the global stable state in a rigorous and thermodynamically consistent way. The solver is demonstrated to be robust and efficient to handle multiphase flash, even in the vicinity of phase boundaries. Dynamic flash computations and gas dynamics simulations of shock waves are considered for pure ethylene and for binary ethylene‐nitrogen mixtures. The simulations show significantly different shock wave characteristics when phase separation is considered due to intensive energy exchange, compared to the frozen flow limiting single‐phase solution. © 2014 American Institute of Chemical Engineers AIChE J, 60: 3013–3024, 2014

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Thermodynamic Speed of Sound for Multiphase Multi-Reactive Equilibrium Systems

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Calculation of isentropic compressibility and sound velocity in two-phase fluids

Cited by 47 publications

References 25 publications

Real-Gas Effects and Phase Separation in Underexpanded Jets at Engine-Relevant Conditions

Real-Gas Effects and Phase Separation in Underexpanded Jets at Engine-Relevant Conditions

Multiphase dynamic flash simulations using entropy maximization and application to compressible flow with phase change

Thermodynamic Speed of Sound for Multiphase Multi-Reactive Equilibrium Systems

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