The flow of wet steam in a one-dimensional nozzle

Mccallum, Marcus; Hunt, Roland

doi:10.1002/(sici)1097-0207(19990430)44:12<1807::aid-nme563>3.0.co;2-z

Cited by 28 publications

(6 citation statements)

References 8 publications

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“…[6][7][8][9] The MOM consists of simultaneous solution of the FDEs and a number of moment equations ͑MEs͒ that are obtained from taking moments of the GDE. The main advantage of the ME/FDE approach with respect to the GDE/FDE approach is the strong reduction of computational effort.…”

Section: Introductionmentioning

confidence: 99%

Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments

2005

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We consider condensing flow with droplets that nucleate and grow, but do not slip with respect to the surrounding gas phase. To compute the local droplet size distribution, one could solve the general dynamic equation and the fluid dynamics equations simultaneously. To reduce the overall computational effort of this procedure by roughly an order of magnitude, we propose an alternative procedure, in which the general dynamic equation is initially replaced by moment equations complemented with a closure assumption. The key notion is that the flow field obtained from this so-called method of moments, i.e., solving the moment equations and the fluid dynamics equations simultaneously, approximately accommodates the thermodynamic effects of condensation. Instead of estimating the droplet size distribution from the obtained moments by making assumptions about its shape, we subsequently solve the exact general dynamic equation along a number of selected fluid trajectories, keeping the flow field fixed. This alternative procedure leads to fairly accurate size distribution estimates at low cost, and it eliminates the need for assumptions on the distribution shape. Furthermore, it leads to the exact size distribution whenever the closure of the moment equations is exact.

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Section: Introductionmentioning

confidence: 99%

Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments

2005

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“…Lagrangian) of the liquid phase suffers when scaling to large threedimensional flow situations, in particular multi-stage transient flow behavior. For this reason development in the past years has begun to focus on Eulerian/Eulerian schemes for condensing steam flows [11,12]. Such schemes lend themselves more naturally to parallel computing and large transient multi-stage flow calculations.…”

Section: Introductionmentioning

confidence: 99%

A pressure based Eulerian–Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow

Gerber

Kermani

2004

International Journal of Heat and Mass Transfer

169

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“…The reason is that estimating the streamlines (or path lines for unsteady flows) for Lagrangian integration and then calculating the changes and reallocation of properties to the domain cells become extremely complicated in wet-steam turbines [7]. Consequently, the current commercial and in-house codes usually only apply the fully-Eulerian monodispersed methods (Mono) [8] [9] [10]. However, the Mono cannot retain information on the droplet size distribution.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Moment-Based Methods for Representing Droplet Size Distributions in Supersonic Nucleating Flows of Steam

Afzalifar

Turunen-Saaresti

Grönman

2017

Journal of Fluids Engineering

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This paper investigates the performance of moment-based methods and a monodispersed model (Mono) in predicting the droplet size distribution and behavior of wet-steam flows. The studied moment-based methods are a conventional method of moments (MOM) along with its enhanced version using Gaussian quadrature, namely the quadrature method of moments (QMOM). The comparisons of models are based on the results of an Eulerian–Lagrangian (E–L) method, as the benchmark calculations, providing the full spectrum of droplet size. In contrast, for the MOM, QMOM, and Mono an Eulerian reference frame is chosen to cast all the equations governing the phase transition and fluid motion. This choice of reference frame is essential to draw a meaningful comparison regarding complex flows in wet-steam turbines as the most important advantage of the moment-based methods is that the moment-transport equations can be conveniently solved in an Eulerian frame. Thus, the moment-based method can avoid the burdensome challenges in working with a Lagrangian framework for complicated flows. The main focus is on the accuracy of the QMOM and MOM in representing the water droplet size distribution. The comparisons between models are made for two supersonic low-pressure nozzle experiments reported in the literature. Results show that the QMOM, particularly inside the nucleation zone, predicts moments closer to those of the E–L method. Therefore, for the test case in which the nucleation is significant over a large proportion of the domain, the QMOM provides results in clearly better agreements with the E–L method in comparison with the MOM.

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The flow of wet steam in a one-dimensional nozzle

Cited by 28 publications

References 8 publications

Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments

Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments

A pressure based Eulerian–Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow

Comparison of Moment-Based Methods for Representing Droplet Size Distributions in Supersonic Nucleating Flows of Steam

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