Modelling for isothermal cavitation with a four-equation model

Goncalves, Éric; Charrière, Boris

doi:10.1016/j.ijmultiphaseflow.2013.10.015

Cited by 69 publications

(56 citation statements)

References 49 publications

(58 reference statements)

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“…An alternative modelling approach, which is used extensively in engineering applications for acoustic cavitation, is the single-phase (or homogeneous mixture) concept. Homogeneousmixture models assume that the vapour and liquid phases are uniformly mixed together, and no clear vapour structures, or inter-phase boundaries, can therefore be simulated in the flow; the dispersed bubbles are rather small, and any significant relative motion is thereby eliminated [76]. The liquid and vapour phases are assumed to be in local thermodynamic equilibrium and, as a consequence, T v = T l := T. Furthermore, the effects of surface tension, liquid viscosity and velocity slip are neglected at the liquid-vapour boundaries, and the pressure of the mixture is assumed to be equal to the saturation pressure: p v = p l = p(T).…”

Section: Cavitation Modelling In Engineering Systemsmentioning

confidence: 99%

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Ferrari¹

2017

Proc. R. Soc. A.

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Cavitation is the transition from a liquid to a vapour phase, due to a drop in pressure to the level of the vapour tension of the fluid. Two kinds of cavitation have been reviewed here: acoustic cavitation and hydrodynamic cavitation. As acoustic cavitation in engineering systems is related to the propagation of waves through a region subjected to liquid vaporization, the available expressions of the sound speed are discussed. One of the main effects of hydrodynamic cavitation in the nozzles and orifices of hydraulic power systems is a reduction in flow permeability. Different discharge coefficient formulae are analysed in this paper: the Reynolds number and the cavitation number result to be the key fluid dynamical parameters for liquid and cavitating flows, respectively. The latest advances in the characterization of different cavitation regimes in a nozzle, as the cavitation number reduces, are presented. The physical cause of choked flows is explained, and an analogy between cavitation and supersonic aerodynamic flows is proposed. The main approaches to cavitation modelling in hydraulic power systems are also reviewed: these are divided into homogeneous-mixture and twophase models. The homogeneous-mixture models are further subdivided into barotropic and baroclinic models. The advantages and disadvantages of an implementation of the complete Rayleigh-Plesset equation are examined.

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Section: Cavitation Modelling In Engineering Systemsmentioning

confidence: 99%

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Ferrari¹

2017

Proc. R. Soc. A.

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“…Assuming the mass transfer is proportional to the divergence of the velocity, it is possible to develop a family of models (Goncalves 2013, Goncalves & Charriere 2014 in which the mass transfer is expressed as:ṁ…”

Section: Closure Relation For the Mass Transfermentioning

confidence: 99%

“…The vapour pressure is assumed to vary linearly with the temperature though the parameter dP vap /dT . Validations have shown the ability of such models to correctly simulate cavitation pockets in both water and freon R-114 (Goncalves 2013, Goncalves & Charriere 2014, Goncalves 2014, Charriere et al 2015, Goncalves & Zeidan 2015. In order to investigate thermal effects in LH 2 cryogenic cavitating flows, one-dimensional cavitation tube problems are proposed.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of unsteady cavitation in liquid hydrogen flows

Goncalves

Zeidan

2017

IJESMS

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An unsteady cavitation model in liquid hydrogen flow is studied in the context of compressible, two-phase, one-fluid inviscid solver. This is accomplished by applying three conservation laws for mixture mass, mixture momentum and total energy along with gas volume fraction transport equation, with thermodynamic effects. Various mass transfers between phases are utilized to study the process under consideration. A numerical procedure is presented for the simulation of cavitation due to rarefaction and shock waves. Attention is focused on cavitation in which the simulated fluid is liquid hydrogen in cryogenic conditions. Numerical results are in close agreement with theoretical solutions for several test cases. The current numerical results show that liquid hydrogen flow can be accurately modeled using an accurate inviscid approach to describe the features of thermodynamic effects on cavitation.Keywords: Two-phase flow; heat and mass transfer; liquid and hydrogen, cavitation; homogeneous model; splitting techniques, inviscid simulation. Reference · · · Biographical notes: Eric Goncalvès is a Professor in the Aeronautical EngineeringSchool ISAE-ENSMA, Poitiers, France. Currently, he is the head of the Department Fluid Mechanics and Aerodynamics. His research interests are related to the modelling and the simulation of flows for which the density is variable such as compressible flow, two-phase flow and cavitation. Recent work include shock wave boundary layer interaction, thermal effects in cavitation and investigation of three-dimensional effects on cavitation pocket. Dia Zeidan is currently a Tenure-track Assistant Professor in the School of Basic Sciences and Humanities at the German Jordanian University, Amman, Jordan. His expertise is in the mathematical modelling and numerical simulations of multiphase fluid flow problems. Recent work also includes hyperbolicity and conservativity resolution related to two-phase flows equations in the context of the Riemann problem and simulations of such flows over a wide range of non-equilibrium behaviours.

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“…Until today several works [7][8][9][10][11] tried to order particular approaches and presented short reviews of selected studies. This review summarizes assumptions of all significant homogeneous fluid approaches used to model the sheet and cloud cavitation up to now.…”

Section: Introductionmentioning

confidence: 99%

Review of numerical models of cavitating flows with the use of the homogeneous approach

Niedźwiedzka¹,

Schnerr²,

Sobieski³

2016

Archives of Thermodynamics

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The focus of research works on cavitation has changed since the 1960s; the behaviour of a single bubble is no more the area of interest for most scientists. Its place was taken by the cavitating flow considered as a whole. Many numerical models of cavitating flows came into being within the space of the last fifty years. They can be divided into two groups: multifluid and homogeneous (i.e., single-fluid) models. The group of homogenous models contains two subgroups: models based on transport equation and pressure based models. Several works tried to order particular approaches and presented short reviews of selected studies. However, these classifications are too rough to be treated as sufficiently accurate. The aim of this paper is to present the development paths of numerical investigations of cavitating flows with the use of homogeneous approach in order of publication year and with relatively detailed description. Each of the presented model is accompanied by examples of the application area. This review focuses not only on the list of the most significant existing models to predict sheet and cloud cavitation, but also on presenting their advantages and disadvantages. Moreover, it shows the reasons which inspired present authors to look for new ways of more accurate numerical predictions and dimensions of cavitation. The article includes also the division of source terms of presented models based on the transport equation with the use of standardized symbols. Boldface lower-case letters refer to vectors while boldface capital letters and Greek lowercase letters refer to matrices.

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Modelling for isothermal cavitation with a four-equation model

Cited by 69 publications

References 49 publications

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Numerical simulation of unsteady cavitation in liquid hydrogen flows

Review of numerical models of cavitating flows with the use of the homogeneous approach

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