Modeling for non isothermal cavitation using 4-equation models

Goncalves, Éric

doi:10.1016/j.ijheatmasstransfer.2014.04.065

Cited by 41 publications

(33 citation statements)

References 41 publications

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“…The cavitation solvers solve the conservative form of the Navier-Stokes equation but use different approaches in handling the state equation and the two-phase modelling. The first solver is based on a barotropic equation of state (denoted herein as BES -Barotropic Equation-of-state based Solver), which directly couples the density to the pressure [23,24]. The minimal speed of sound of the mixture is used as a fitting parameter for the model.…”

Section: Computational Modelling and Setup 21 Numerical Toolsmentioning

confidence: 99%

“…Bluff body cavitationHemispherical headform [29] Inducer blade passage cavitation -2D Venturi [24] Attached leading edge cavitation -Hydrofoil [30] Rotational flow cavitation -Ship Propeller (3D) The first case deals with the bluff body cavitation occurring at the inducer boss. This domain is simplified to an axisymmetric hemispherical headform.…”

Section: Case Descriptionmentioning

confidence: 99%

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Turbulence Modeling of Cavitating Flows in Liquid Rocket Turbopumps

Mani

Cervone

Hickey

2016

Journal of Fluids Engineering

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An accurate prediction of the performance characteristics of cavitating cryogenic turbopump inducers is essential for an increased reliance on numerical simulations in the early turbopump design stages of liquid rocket engines. This work focuses on the sensitivities related to the choice of turbulence models on the cavitation prediction in flow setups relevant to cryogenic turbopump inducers. To isolate the influence of the turbulence closure models for Reynolds-averaged Navier-Stokes equations, four canonical problems are abstracted and studied individually to separately consider cavitation occurring in flows with a bluff body pressure drop, adverse pressure gradient, blade passage contraction and rotation. The choice of turbulence model plays a significant role in the prediction of the phase-distribution in the flow. It was found that the sensitivity to the closure model depends on the choice of cavitation model itself; the barotropic-based cavitation models are far more sensitive to the turbulence closure than the transportbased models. The sensitivity of the turbulence model is also strongly dependent on the type of flow. For bounded cavitation flows (blade passage), stark variations in the cavitation topology are observed based on the selection of the turbulence model. For unbounded problems, the spread in the results due to the choice of turbulence models is similar to non-cavitating, single-phase flow cases. A set of considerations for turbopump designers are provided for an informed decision on the selection of turbulence models. * Corresponding author IntroductionTurbopumps in liquid rocket engines (LRE) deliver propellants, such as liquid hydrogen (LH2) and liquid oxygen (LO2), from low pressure storage tanks to a high pressure combustion chamber [1]. They are a central component in LREs as they control both injection pressure and propellant mass flow rate to the combustor. The design and analysis of turbopumps is highly complex due to high rotational speeds, and potential for the onset of vibrations and flow instabilities while simultaneously needing to meet the stringent performance and weight requirements of the system [1,2].The mass and size constraints imposed to the turbopump means that a high rotational speed (often over 20,000 rpm) is needed in order to deliver the required mass flow rate of propellants to the combustor. Because of the high rotational speeds, cavitation is likely to arise on the suction side of the blade passages as the static pressure of the liquid drops down to its vapour pressure [1]. Cavitation is to be avoided as it leads to a reduction of the pump efficiency, mixing losses, erratic mass flow rate, insufficient power to the fluid, and can result in dangerous vibrations and instabilities. In a turbopump assembly, an axial impeller called inducer is placed in front of the main impeller on the same shaft with the same rotational speed [1]. The inducer marginally increases the liquid pressure such that cavitation is avoided or severely reduced at the main impeller inl...

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Section: Computational Modelling and Setup 21 Numerical Toolsmentioning

confidence: 99%

Section: Case Descriptionmentioning

confidence: 99%

Turbulence Modeling of Cavitating Flows in Liquid Rocket Turbopumps

Mani

Cervone

Hickey

2016

Journal of Fluids Engineering

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“…Recently, a new four-equation cavitation model with consideration of thermodynamic effects has been presented by Goncalves et al [30][31][32]. Their results showed that the new model performed well for sheet cavitation cases.…”

Section: State Of the Artmentioning

confidence: 99%

“…RANS turbulence models have been used to simulate various industrial fluid machines for years because of their good performance in giving acceptable simulation results within a reasonable computational time. For cavitating flow simulations, recent CFD studies showed that these turbulence models would need some modifications in the turbulent eddy viscosity [31,33,34]. There are several different RANS turbulence models for different utilities.…”

Section: State Of the Artmentioning

confidence: 99%

Investigation of Cavitation Models for Steady and Unsteady Cavitating Flow Simulation

Tran¹,

Nennemann²,

Vu³

et al. 2015

International Journal of Fluid Machinery and Systems

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The objective of this paper is to evaluate the applicability of mass transfer cavitation models and determine appropriate numerical parameters for cavitating flow simulations. CFD simulations were performed for a NACA66 hydrofoil at cavitation numbers of 1.49 and 1.00, corresponding to steady sheet and unsteady sheet/cloud cavitating regimes using the Kubota and Merkle cavitation models. The Merkle model was implemented into CFX by User Fortran code. The Merkle cavitation model is found to give some improvements for cavitating flow simulation results for these cases. Turbulence modeling is also found to have an important contribution to the prediction quality of the simulations. The relationship between the turbulence viscosity modification, in order to take into account the local compressibility at the vapor/liquid interfaces, and the predicted numerical results is clarified. The limitations of current cavitating flow simulation techniques are discussed throughout the paper.

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“…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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Modeling for non isothermal cavitation using 4-equation models

Cited by 41 publications

References 41 publications

Turbulence Modeling of Cavitating Flows in Liquid Rocket Turbopumps

Turbulence Modeling of Cavitating Flows in Liquid Rocket Turbopumps

Investigation of Cavitation Models for Steady and Unsteady Cavitating Flow Simulation

Numerical simulation of unsteady cavitation in liquid hydrogen flows

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