Single- and two-fluid models for steam condensing flow modeling

Dykas, Sławomir; Wróblewski, Włodzimierz

doi:10.1016/j.ijmultiphaseflow.2011.05.008

Cited by 99 publications

(34 citation statements)

References 7 publications

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“…Detailed assessment of single-and two-fluid model can be found e.g. in [6]. Provided that viscosity, heat conduction and gravitational effects are negligible, governing equations for mixture dynamics can be expressed in the form of inviscid Euler system of equations…”

Section: Mixture Modelmentioning

confidence: 99%

Numerical Solution of Transonic Wet Steam Flow in Blade-to-Blade Cascade with Non-equilibrium Condensation and Real Thermodynamics

Hric

Halama

2015

EPJ Web of Conferences

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Abstract. We present an engineering approach to mathematical modeling and numerical solution of 2D inviscid transonic flow of wet steam in a steam turbine cascade channel of penultimate stage at rotor tip section in full Eulerian framework. Our flow model consists of the Euler system for the mixture (dry steam + homogeneously dispersed water droplets) and transport equations for moments of droplet number distribution function known as method of moments. Thermodynamic properties of vapor steam are provided by set of IAPWS equations. For equation of state for vapor phase valid both in superheated and wet (meta-stable) region we adopted recently developed equation in CFD formulation for low pressures provi1ded by Hrubý et al. [9], [8], [10]. For extraction of vapor parameters from the mixture ones we implemented simple relations in polynomial form describing thermodynamic properties of saturated liquid state. Nucleation model is resorting to modified classical nucleation theory. Linear droplet growth model is implemented for calculation of liquid sources. Numerical method is simple: cell-centered finite volume approach, 1st-order AUSM+ scheme for spatial derivatives, symmetrical fractional step method for separation of convection and condensation part, explicit 2-stage 2nd-order RungeKutta method for time integration. Geometry of blade profile and experimental results are provided by Bakhtar's work [22], [23]. Results were obtained for one subsonic inlet/subsonic outlet regime and gave quite reasonable accordance with experiment.

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Section: Mixture Modelmentioning

confidence: 99%

Numerical Solution of Transonic Wet Steam Flow in Blade-to-Blade Cascade with Non-equilibrium Condensation and Real Thermodynamics

Hric

Halama

2015

EPJ Web of Conferences

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“…When the slurry concentration is high and great deal of fine particles exist, the relationship between the shear rate and shear stress of backfilling slurry presents nonlinear characteristics; as a kind of non-Newtonian fluid [6]. At present, tphe mixture model and conventional Euler model are usually used in numerical simulations on two-phase flows [7,8]. The multiphase mixed flow field is averaged in these methods, with less analysis on the movement and function of discrete phases.…”

Section: Introductionmentioning

confidence: 99%

Particle Flow Characteristics and Transportation Optimization of Superfine Unclassified Backfilling

Zhou

Gao

2017

Minerals

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Abstract:In order to investigate the high volume fraction problem of the solid phase in superfine unclassified backfilling pipeline transportation, characteristic parameters were obtained by fitting to test data with an R-R particle size distribution function; then, a Euler dense-phase DPM (Discrete phase model) model was established by applying solid-liquid two-phase flow theory and the kinetic theory of granular flow (KTGF). The collision and friction of particles were imported by the UDF (User-define function) function, and the pipeline fluidization system, dominated by interphase drag forces, was analyzed. The best concentration and flow rate were finally obtained by comparing the results of the stress conditions, flow field characteristics, and the discrete phase distributions. It is revealed that reducing the concentration and flow rate could control pressure loss and pipe damage to a certain degree, while lower parameters show negative effects on the transportation integrity and backfilling strength. Indoor tests and field industrial tests verify the reliability of the results of the numerical simulations. Research shows that the model optimization method is versatile and practical for other, similar, complex flow field working conditions.

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“…Furthermore, Moore et al acquired pressure distribution along a Laval nozzle in a wet-steam tunnel established independently through their research [10], while Young developed a group of conservation equations for wet steam flow and these equations were widely employed in the ensuing studies of wet steam flow [11]. A twofluid model was developed by Dykas et al to more accurately predict the homogeneous condensation steam and droplet radii attained from the model, which were more precise than that achieved from the single-fluid model [12].…”

Section: Introductionmentioning

confidence: 99%

Influences of area ratio and surface roughness on homogeneous condensation in ejector primary nozzle

Wang

Zou

et al. 2017

Energy Conversion and Management

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Single- and two-fluid models for steam condensing flow modeling

Cited by 99 publications

References 7 publications

Numerical Solution of Transonic Wet Steam Flow in Blade-to-Blade Cascade with Non-equilibrium Condensation and Real Thermodynamics

Numerical Solution of Transonic Wet Steam Flow in Blade-to-Blade Cascade with Non-equilibrium Condensation and Real Thermodynamics

Particle Flow Characteristics and Transportation Optimization of Superfine Unclassified Backfilling

Influences of area ratio and surface roughness on homogeneous condensation in ejector primary nozzle

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