Modeling of free surface flow in a helical channel with finite pitch

Morales, Rigoberto E. M.; Rosa, Eugênio Spanó

doi:10.1590/s1678-58782007000400002

Cited by 5 publications

(3 citation statements)

References 30 publications

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“…The interface-capturing method is commonly used. There have been many kinds of interface-capturing methods developed, such as the level set, height of liquid, and volume of fluid (VOF) methods . In addition to the traditional CFD approach, the lattice Boltzmann (LB) model has been increasingly used to study interface flow due to its capability to model interfaces …”

Section: Cfd Modeling Methodsmentioning

confidence: 99%

Computational Fluid Dynamics (CFD) Modeling of Bubble Dynamics in the Aluminum Smelting Process

Zhang

Feng

Schwarz

et al. 2013

Ind. Eng. Chem. Res.

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This paper presents a microscale modeling approach for investigation of bubble dynamics in the aluminum smelting process. The motion of a single bubble has been studied through a computational fluid dynamics (CFD) model facilitated with the volume-of-fluid (VOF) method to capture the bubble shapes. Using a two-dimensional geometry of part of a real cell as the testing bed, the motion of different sized bubbles has been simulated in an air–water system and a CO2–cryolite system. Comparisons between the two systems are conducted through the three periods of bubble motion: bubble sliding under the anode, bubble releasing at the anode edge, and bubble rising in the side channel. It was found that both systems show similar trends in bubble dynamics, such as an increase in the bubble sliding velocity as the bubble size increases and the appearance of a thick head at large bubble sizes. Quantitatively, there are differences between the two systems, evidenced in terms of the detailed bubble dynamics at each period of bubble motion, such as the bubble morphology, the bubble sliding velocity, the bubble layer thickness, and the bubble-induced liquid flow. The detailed microscale modeling provides useful information for the development of a multiscale modeling methodology by building constitutive correlations to support the macro/process scale modeling.

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Section: Cfd Modeling Methodsmentioning

confidence: 99%

Computational Fluid Dynamics (CFD) Modeling of Bubble Dynamics in the Aluminum Smelting Process

Zhang

Feng

Schwarz

et al. 2013

Ind. Eng. Chem. Res.

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“…Furthermore we often come across helicoidal structures and objects that are related to navigation in nature, science and engineering. For instance; creeper plants, helicoidal staircases, helicoidal conveyors, parking garage ramps, helicoidal railways, moving walkways and footbridges, helicoidal towers and (nowadays) skyscrapers (Capanna et al, 2012), helicoidal fractures in geology (Pollard and Fletcher, 2005), helicoidal paths, tropical cyclones (Levina and Montgomery, 2010), electronic states on the helicoidal surfaces (Jensen, 2009) and helical channels (Morales and Rosa, 2007).…”

Section: Introductionmentioning

confidence: 99%

“…Stereographic projection of a loxodrome on a sphere (Babaarslan and Munteanu, 2013). (Capanna et al, 2012), helicoidal fractures in geology (Pollard and Fletcher, 2005), helicoidal paths, tropical cyclones (Levina and Montgomery, 2010), electronic states on the helicoidal surfaces (Jensen, 2009) and helical channels (Morales and Rosa, 2007).…”

mentioning

confidence: 99%

Differential Equation of the Loxodrome on a Helicoidal Surface

Babaarslan

Yaylı

2015

J. Navigation

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In nature, science and engineering, we often come across helicoidal surfaces. A curve on a helicoidal surface in Euclidean 3-space is called a loxodrome if the curve intersects all meridians at a constant azimuth angle. Thus loxodromes are important in navigation. In this paper, we find the differential equation of the loxodrome on a helicoidal surface in Euclidean 3-space. Also we give some examples and draw the corresponding pictures via the Mathematica computer program to aid understanding of the mathematics of navigation.

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