Relevant bibliographies by topics / Planar cluster, soap bubbles

Academic literature on the topic 'Planar cluster, soap bubbles'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Planar cluster, soap bubbles"

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Cox, S. J., F. Morgan, and F. Graner. "Are large perimeter- minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?" Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2149 (January 8, 2013): 20120392. http://dx.doi.org/10.1098/rspa.2012.0392.

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A computer study of clusters of up to N =200 000 equal-area bubbles shows for the first time that partially rounding conjectured optimal hexagonal planar soap bubble clusters reduces perimeter. Different methods of creating optimal clusters are compared, and new candidate minimizers for several N are given.
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Wichiramala, Wacharin. "Weak Approach to Planar Soap Bubble Clusters." Missouri Journal of Mathematical Sciences 24, no. 2 (November 2012): 167–81. http://dx.doi.org/10.35834/mjms/1352138562.

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Garza-Hume, C. E. "Planar soap bubble clusters with multiple cavities." Applied Mathematics Letters 23, no. 3 (March 2010): 226–29. http://dx.doi.org/10.1016/j.aml.2009.09.025.

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FENG, Y., H. J. RUSKIN, and B. ZHU. "PERSISTENCE MEASURES FOR 2D SOAP FROTH." International Journal of Modern Physics C 14, no. 09 (November 2003): 1163–70. http://dx.doi.org/10.1142/s0129183103005285.

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Soap froths as typical disordered cellular structures, exhibiting spatial and temporal evolution, have been studied through their distributions and topological properties. Recently, persistence measures, which permit representation of the froth as a two-phase system, have been introduced to study froth dynamics at different length scales. Several aspects of the dynamics may be considered and cluster persistence has been observed through froth experiment. Using a direct simulation method, we have investigated persistent properties in 2D froth both by monitoring the persistence of survivor cells, a topologically independent measure, and in terms of cluster persistence. It appears that the area fraction behavior for both survivor and cluster persistence is similar for Voronoi froth and uniform froth (with defects). Survivor and cluster persistent fractions are also similar for a uniform froth, particularly when geometries are constrained, but differences observed for the Voronoi case appear to be attributable to the strong topological dependency inherent in cluster persistence. Survivor persistence, on the other hand, depends on the number rather than size and position of remaining bubbles and does not exhibit the characteristic decay to zero.
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Eppstein, David. "A Möbius-Invariant Power Diagram and Its Applications to Soap Bubbles and Planar Lombardi Drawing." Discrete & Computational Geometry 52, no. 3 (September 5, 2014): 515–50. http://dx.doi.org/10.1007/s00454-014-9627-0.

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Garza-Hume, C. E., and P. Padilla. "Planar soap bubble clusters with a cavity." European Physical Journal E 23, no. 1 (May 2007). http://dx.doi.org/10.1140/epje/i2006-10082-4.

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Frichot, Hélène. "What can we learn from the Bubble Man and his Atmospheric Ecologies?" IDEA JOURNAL, July 18, 2010, 102–13. http://dx.doi.org/10.37113/ideaj.v0i0.130.

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With this essay I present the fragile thought-image of the soap-bubble to venture an augmented understanding of what an atmospheric ecology might be, what it might include, and how it might contribute to a thinking of interiors. In contemporary digital design the soap-bubble or soap film is most often investigated for what it can tell us about material behaviour, and how an understanding of material behaviour as it occurs in ‘Nature’ can be innovatively applied to design problems. Soap film can be studied in terms of what it tells us about surface tension and minimal distribution of material, which then allows the designer to better understand tensile structures. It also contributes to an understanding of cell walls (from the scale of the microscopic to the macroscopic), and how an interior condition responds to the pressure of an exterior condition. Appropriated from nature through a process of biomimicry the behaviour of soap film and soap-bubbles has been broadly used to test speculative design schemes and also to generate new digital techniques and technologies. I propose to liberate the thought-figure of the soap-bubble from this set of technical studies and applications in order to extend an understanding of how it can be used to frame atmospheric ecologies, especially after the manner in which soap-bubbles cluster and froth. Ecology here must be understood in an expanded sense that encompasses not just naturally occurring systems, championed by special interest groups that fight for a specific environmental niche, but also subjective and social ecologies, and how these different systems remain profoundly intertwined. I draw on the work of Peter Sloterdijk, Jakob Von Uexküll, and also Gregory Bateson to offer other visions of what an atmospheric ecology might be, and how it can offer us more open definitions of the interiors in which we need to find a way to survive.
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Zhao, Bin, Weiwei Guo, and Long Quan. "Cavitation of a Submerged Jet at the Spherical Valve Plate/Cylinder Block Interface for Axial Piston Pump." Chinese Journal of Mechanical Engineering 33, no. 1 (October 1, 2020). http://dx.doi.org/10.1186/s10033-020-00486-8.

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Abstract The spherical valve plate/cylinder block pair has the advantages of strong overturning resistance and large bearing area. However, the configurations of the unloading and pre-boosting triangular grooves on the spherical valve plate are different from those in the planar valve plate, resulting in special cavitation phenomenon on the spherical port plate pair. In order to study cavitation characteristics of spherical port plate pair, a dynamic CFD model of the piston pump including turbulence model, cavitation model and fluid compressibility is established. A detailed UDF compilation scheme is provided for modelling of the micron-sized spherical oil film mesh, which makes up for the lack of research on the meshing of the spherical oil film. In this paper, using CFD simulation tools, from the perspectives of pressure field, velocity field and gas volume fraction change, a detailed analysis of the transient evolution of the submerged cavitation jet in a axial piston pump with spherical valve plate is carried out. The study indicates the movement direction of the cavitation cloud cluster through the cloud image and the velocity vector direction of the observation point. The sharp decrease of velocity and gas volume fraction indicates the collapse phenomenon of bubbles on the part wall surface. These discoveries verify the special erosion effect in case of the spherical valve plate/cylinder block pair. The submerged cavitation jet generated by the unloading triangular grooves distributed on the spherical valve plate not only cause denudation of the inner wall surface of the valve plate, but also cause strong impact and denudation on the lower surface of the cylinder body. Finally, the direction of the unloading triangular groove was modified to extend the distance between it and the wall surface which can effectively alleviate the erosion effect.
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Dissertations / Theses on the topic "Planar cluster, soap bubbles"

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TAMAGNINI, ANDREA. "Planar Clusters." Doctoral thesis, 2016. http://hdl.handle.net/2158/1029430.

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Book chapters on the topic "Planar cluster, soap bubbles"

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Morgan, Frank. "The Space of Planar Soap Bubble Clusters." In Imagine Math 6, 135–44. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93949-0_12.

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Conference papers on the topic "Planar cluster, soap bubbles"

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Eppstein, David. "The graphs of planar soap bubbles." In the 29th annual symposium. New York, New York, USA: ACM Press, 2013. http://dx.doi.org/10.1145/2462356.2462370.

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