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Research Papers: Flows in Complex Systems

Computational Fluid Dynamics Modeling of Flashing Flow in Convergent-Divergent Nozzle

[+] Author and Article Information
Quang Dang Le

Department of Energy,
Politecnico di Milano,
via Lambruschini 4,
Milan 20156, Italy
e-mail: lequang.dang@polimi.it

Riccardo Mereu

Department of Energy,
Politecnico di Milano,
via Lambruschini 4,
Milan 20156, Italy
e-mail: riccardo.mereu@polimi.it

Giorgio Besagni

Department of Energy,
Politecnico di Milano,
via Lambruschini 4,
Milan 20156, Italy
e-mail: giorgio.besagni@polimi.it

Vincenzo Dossena

Department of Energy,
Politecnico di Milano,
via Lambruschini 4,
Milan 20156, Italy
e-mail: vincenzo.dossena@polimi.it

Fabio Inzoli

Department of Energy,
Politecnico di Milano,
via Lambruschini 4,
Milan 20156, Italy
e-mail: fabio.inzoli@polimi.it

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 20, 2017; final manuscript received April 2, 2018; published online May 7, 2018. Assoc. Editor: Ioannis K. Nikolos.

J. Fluids Eng 140(10), 101102 (May 07, 2018) (22 pages) Paper No: FE-17-1169; doi: 10.1115/1.4039908 History: Received March 20, 2017; Revised April 02, 2018

In this paper, a computational fluid dynamics model of flashing flow, which considers the thermal nonequilibrium effect, has been proposed. In the proposed model, based on the two-phase mixture approach, the phase-change process depends on the difference between the vaporization pressure and the vapor partial pressure. The thermal nonequilibrium effect has been included by using ad hoc modeling of the boiling delay. The proposed model has been applied to the case of two-dimensional axisymmetric convergent-divergent nozzle, which is representative of well-known applications in nuclear and energy engineering applications (e.g., the primary flow in the motive nozzle of ejectors). The numerical results have been validated based on a benchmark case from the literature and have been compared with the numerical results previously obtained by different research groups. The proposed approach has shown a good level of agreement as regards the global and the local experimental fluid dynamic quantities. In addition, sensitivity analyses have been carried out concerning (a) grid independency, (b) turbulence modeling approaches, (c) near-wall treatment approaches, (d) turbulence inlet parameters, and (e) semi-empirical coefficients. In conclusion, the present paper aims to provide guidelines for the simulation of flash boiling flow in industrial applications.

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Figures

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Fig. 2

Vertical circular convergent-divergent nozzle in Abuaf [8]

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Fig. 1

Physical behavior of flashing flow: (a) thermodynamic diagram of phase change of water with equilibrium assumption and (b) start of vaporization

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Fig. 4

Influence of y+ on the velocity profile at cross section I (x = 0.458 m) and cross section N (x = 0.577 m)

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Fig. 3

Mesh and boundary condition of convergent-divergent nozzle

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Fig. 5

Section description and radial vapor profile with effects of turbulence RANS models

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Fig. 13

Radial vapor fraction in comparison with results of Ref. [24] — x = 0.59 m

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Fig. 14

Radial vapor fraction in comparison with results of Ref. [24]: (a) x = 0.59 m and (b) x = 0.59 m

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Fig. 9

Averaged vapor fraction and absolute pressure along nozzle compared to experimental data and Janet model [24]

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Fig. 10

Radial void fraction profile at positions along divergent nozzle

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Fig. 11

Radial vapor profile of BNL309 compared to experiment data and Liao and Lucas model [43]

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Fig. 12

Turbulence kinetic energy field

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Fig. 6

Influence of turbulence inlet intensity to numerical results: (a) vapor fraction along center line and (b) radial vapor profile at x = 0.577 m

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Fig. 7

Artificial coefficients sensitivity in BNL309: (a) vapor profile and static pressure along nozzle with fixed dp = 75 Pa and (b) vapor profile and static pressure along nozzle with fixed β = 1.2

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Fig. 8

Averaged vapor fraction and absolute pressure along nozzle compared to experimental data and Liao and Lucas model [43]

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Fig. 15

Artificial coefficients sensitivity for BNL284: (a) vapor profile and static pressure along nozzle with fixed dp = 75 Pa and (b) vapor profile and static pressure along nozzle with fixed β = 0.8

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Fig. 16

Artificial coefficients sensitivity for BNL273: (a) vapor profile and static pressure along nozzle with fixed dp = 75 Pa and (b) vapor profile and static pressure along nozzle with fixed β = 1.05

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Fig. 17

Artificial coefficients sensitivity for BNL268: (a) vapor profile and static pressure along nozzle with fixed dp = 75 Pa and (b) vapor profile and static pressure along nozzle with fixed β = 1.0

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Fig. 18

Artificial coefficients sensitivity for BNL304: : (a) vapor profile and static pressure along nozzle with fixed dp = 75 Pa and (b) vapor profile and static pressure along nozzle with fixed β = 1.11

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