A consistent momentum interpolation method for steady and unsteady multiphase flows

Cubero, Ana; Sánchez-Insa, Alberto; Fueyo, Norberto

doi:10.1016/j.compchemeng.2013.12.002

Cited by 21 publications

(22 citation statements)

References 33 publications

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“…The interfacial interactions between a gas (g) and a solid phase (s) are modeled as: proposed by the authors has been extended in this work to manage variable phase density and interphase mass transfer [15]. The total-mass conservation-equation (obtained by summing the mass-conservation equations for the volume fraction for all the phases) is discretized as follows:…”

Section: Discussionmentioning

confidence: 99%

“…This reference density is introduced in order to avoid too large differences between the contribution for the different phases. The rest of nomenclature is the same as in the original paper [15], except that there α denotes a generic phase and P a generic cell.…”

Section: Discussionmentioning

confidence: 99%

“…The In previous paper [16] in Appendix B. We use a sequential, dual-step procedure for solving the unsteady, coupled equations governing multiphase flows as detailed in [15], but including for the problem at hand an additional loop for solving the equation for the phase temperature, gas species and particle components.…”

Section: Numerical Algorithmmentioning

confidence: 99%

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The effect of particle polydispersion in a gasifier bed dynamics using Eulerian-Eulerian models

Cubero

Sánchez-Insa

Fueyo

2020

Fuel Processing Technology

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The influence of the coal particle size distribution on the performance of a fluidized bed gasifier is investigated by means of a multiphase Eulerian-Eulerian model embodied in the Open-FOAM CFD code. To distinguish the effects of combustion from those of particle segregation we compare the solutions obtained by modeling of solids as, alternatively, monodispersed or polydispersed particles; and as reactive or inert ones. Results reveal that the preferential motion of the smaller particles towards the bed top significantly delays char consumption at the bottom layers, favors volatile oxidation, and results in a more uneven lateral distribution of the off-gas.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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The effect of particle polydispersion in a gasifier bed dynamics using Eulerian-Eulerian models

Cubero

Sánchez-Insa

Fueyo

2020

Fuel Processing Technology

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“…Note that the works on Rhie-Chow interpolation consistently reiterate the importance of applying a consistent formulation in order to obtain consistent results and also to improve convergence. Of those, some also stress the influence of the correct interpolation taking into account the α g , which needs to added in the derivation, in opposition to using the standard interpolation to a single-phase formulation (CUBERO et al, 2014;BARTHOLOMEW et al, 2018). In the present thesis, the implementation of the corrected Rhie-Chow interpolation was carried out in accordance to all remarks presented in the aforementioned works.…”

Section: Rhie-chow Interpolationmentioning

confidence: 92%

“…However, recent advances in this area have been showing that more additions to Equation 4.6 are necessary in order to provide more accurate results CUBERO et al, 2014;MOUKALLED et al, 2016;TUKOVIĆ et al, 2018;BARTHOLOMEW et al, 2018). For instance, in order to guarantee a time-step independent 4.1.…”

Section: Rhie-chow Interpolationmentioning

confidence: 99%

From dilute to dense gas-solid flows simulation: the CFB riser case study

Venturi¹

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On the other end, here in Uberlândia, are all the friends made at the MFLab. Some of them helped me by sitting with me and discussing ideas and equations, other by teaching me how to use a software, and others just by getting my mind off the study and taking a cup of coffee or a glass of beer with me. It is fulfilling to be able to make such good friends away from home. Also here, I found two teachers who increased my desire for knowledge and taught me to be a better student and researcher, Profs. Francisco and Aristeu. On the financial side, I cannot forget to mention the support from the Brazilian National Council for Scientific and Technological Development (CNPq) for the full scholarship during this four years of research, and also to Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and Petrobras. A researcher can only dream that his work may affect society in some way that more people start to see research budget as investment. And at last, I surely also have a lot to thank to all the staff at the Federal University of Uberlândia, at the Mechanical Engineering Graduate Program, and at the MFLab. "Bear in mind that the wonderful things you learn in your schools are the work of many generations, produced by enthusiastic effort and infinite labor in every country of the world. All this is put into your hands as your inheritance in order that you may receive it, honor it, add to it, and one day faithfully hand it on to your children. Thus do we mortals achieve immortality in the permanent things which we create in common." (Albert Einstein, The World As I See It) "Inventions are, above all, the result of stubborn work, in which there must be no room for discouragement."

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Basic verification of a numerical framework applied to a morphology adaptive multifield two‐fluid model considering bubble motions

Meller

Schlegel

Lucas

2020

Numerical Methods in Fluids

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Summary A morphology adaptive modeling framework is derived that is able to handle computationally efficiently dispersed as well as resolved interfacial structures coexisting in the computational domain with the same set of equations. The Eulerian multifield two‐fluid model is combined with the compact momentum interpolation method for multiple phases, which has been proposed in the literature as an extension to the Rhie‐Chow pressure‐velocity coupling. Additionally to the interfacial drag force, the virtual mass force is consistently accounted for in the model. Utilizing a specialized interfacial drag formulation, large interfacial structures can be described with the presented method in a volume‐of‐fluid‐like manner, additionally to the disperse description. The strong phase coupling due to the drag closure model in interfacial regions is resolved with a partial elimination algorithm, which is adapted to work in an approximate manner for more than two phases via a sum formulation. The presented model is implemented in the C++ library OpenFOAM and solver performance is compared with results obtained with the homogeneous model approach in two cases of a single rising gas bubble for two‐ and three‐dimensional space, respectively. Additionally, for both three‐dimensional cases, the results are compared with experimental data. Finally, the presented method's capability of representing dispersed and resolved interfacial structures at the same time is demonstrated with two test cases: a two‐dimensional gas bubble, rising in a liquid, which is laden with micro gas bubbles, and a two‐dimensional stagnant stratification of water and oil, sharing a large‐scale interface, which is penetrated by micro gas bubbles.

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A consistent momentum interpolation method for steady and unsteady multiphase flows

Cited by 21 publications

References 33 publications

The effect of particle polydispersion in a gasifier bed dynamics using Eulerian-Eulerian models

The effect of particle polydispersion in a gasifier bed dynamics using Eulerian-Eulerian models

From dilute to dense gas-solid flows simulation: the CFB riser case study

Basic verification of a numerical framework applied to a morphology adaptive multifield two‐fluid model considering bubble motions

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