Bubble size distribution prediction for large-scale ship flows: Model evaluation and numerical issues

Castro, Alejandro; Carrica, Pablo M.

doi:10.1016/j.ijmultiphaseflow.2013.08.001

Cited by 19 publications

(32 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At this point the complexity can grow substantially if there exist bubbles of different sizes at any fluid point and instant, in which case one must adopt a polydisperse model [20]. Such models are based on a population balance equation for the so-called bubble density function f b (r, x, t), defined such that the number of bubbles per unit volume at x and t with radius between r and r + dr is f b (r, x, t)dr [21,22]. Techniques for numerically handling polydisperse models can be found in the literature [23,24,22,25].…”

Section: The Field Rayleigh-plesset Equationmentioning

confidence: 99%

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

Jaramillo

Buscaglia

2019

Tribology International

View full text Add to dashboard Cite

The coupling of Reynolds and Rayleigh-Plesset equations has been used in several works to simulate lubricated devices considering cavitation. The numerical strategies proposed so far are variants of a staggered strategy where Reynolds equation is solved considering the bubble dynamics frozen, and then the Rayleigh-Plesset equation is solved to update the bubble radius with the pressure frozen. We show that this strategy has severe stability issues and a stable methodology is proposed. The proposed methodology performance is assessed on two physical settings. The first one concerns the propagation of a decompression wave along a fracture considering the presence of cavitation nuclei. The second one is a typical journal bearing, in which the coupled model is compared with the Elrod-Adams model.

show abstract

Section: The Field Rayleigh-plesset Equationmentioning

confidence: 99%

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

Jaramillo

Buscaglia

2019

Tribology International

View full text Add to dashboard Cite

show abstract

“…• The liquid phase of the mixture is continuous while the gas phase corresponds to a high number of spherical bubbles dispersed in the liquid [14,39,40,41,21,42,19];…”

Section: Future Workmentioning

confidence: 99%

“…(1.1) and (1.5) are presented. This presentation is based in the Theory of Multicomponent Fluids [24], which has been used by Carrica and coworkers to study the dynamics of a bubbly mixture around a surface ship [39,40,41,42].…”

Section: Appendixmentioning

confidence: 99%

About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis

Jaramillo

Bayada²,

Ciuperca

et al. 2019

Eur. J. Appl. Math

View full text Add to dashboard Cite

In the lubrication area, which is concerned with thin film flow, cavitation has been considered as a fundamental element to correctly describe the characteristics of lubricated mechanisms. Here, the well-posedness of a cavitation model that can explain the interaction between viscous effects and micro-bubbles of gas is studied. This cavitation model consists of a coupled problem between the compressible Reynolds PDE (that describes the flow) and the Rayleigh-Plesset ODE (that describes micro-bubbles evolution). This coupled model seems never to be studied before from its mathematical aspects. Local times existence results are proved and stability theorems are obtained based on the continuity of the spectrum for bounded linear operators. Numerical results are presented to illustrate these theoretical results.

show abstract

“…Theory, modeling, and experiments over the past several decades have continued to increase our understanding of the gas dissolution process in bubble (e.g., Refs. [15][16][17][18] and modeling advances for spillways have increase the process represented [19][20][21]. In contrast to the present work, the previous efforts have focused on spillways discharging from less than 50 m of head, which apply underflow energy dissipation techniques rather than the ski-jump spillways common to high dams of 100-200 m head [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Two‐phase flow simulation of supersaturated total dissolved gas in the plunge pool of a high dam

Zhang

et al. 2016

Env Prog and Sustain Energy

View full text Add to dashboard Cite

Total dissolved gas (TDG) supersaturation can cause potentially fatal Gas Bubble Disease (GBD) in fish and is recognized for its severe environmental impact for high‐dam operation conditions. The generation of supersaturated TDG in high‐head hydropower project is substantially different from middle‐ or low‐head projects that have been previously studied. Although the mechanics of TDG generation in a plunge pool are clearly three‐dimensional (3D), there are great challenges and difficulties of the 3D simulation for high‐dam projects. Toward this end, a two‐dimensional (2D) model of two‐phase flow in high‐dam plunge pool is developed with established computational fluid dynamics (CFD) software. New simulation modules are developed to account for a normal distribution of bubble sizes, which allows the TDG mass transfer from bubbles and across the free surface to include bubble size nonlinearities that were previously neglected. The model is calibrated based on observations from a high‐dam hydropower project with a ski‐jump spillway and deep plunge pool. Characteristics of simulated hydrodynamics, air‐bubble distribution, and TDG distribution downstream of the high dam were analyzed. Results showed that the model achieved satisfactory calibrated simulation of dissolved gas behavior and the assumption of a bubble normal distribution could properly reflect the bubble transfer process. Residence time in the plunge pool appeared to be a key factor determining maximum modeled TDG supersaturation levels. © 2016 American Institute of Chemical Engineers Environ Prog, 35: 1139–1148, 2016

show abstract

Bubble size distribution prediction for large-scale ship flows: Model evaluation and numerical issues

Cited by 19 publications

References 50 publications

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis

Two‐phase flow simulation of supersaturated total dissolved gas in the plunge pool of a high dam

Contact Info

Product

Resources

About