کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
237503 465711 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic motion of four spheres in a “kite” configuration
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Periodic motion of four spheres in a “kite” configuration
چکیده انگلیسی

Cluster settling plays an important role in the sedimentation of dilute suspensions. Studies of isolated clusters indicate that they show considerable stability. In particular, spheres initially arranged in a horizontal isosceles triangle or rhombus exhibit simple periodic motion as they descend. Moving one sphere outward along the long diagonal of a rhombus produces a kite configuration that settles with a complicated periodic motion relative to its center of mass, which exhibits a back-and-forth movement as it descends. This makes the kite configuration the second member of a class between small clusters with simple periodic motions and isolated clusters that merely remain intact for a considerable time. If the displacement along the diagonal is too great, one sphere is left behind. Higher-order terms, which have little effect on widely separated spheres in a rhombus, are important in maintaining the periodicity of the kite configuration and in slowing its breakup.

This figure shows the orbit, relative to the center of mass, of a sphere on the long diagonal of a kite formation. Starting from the far right, the sphere follows a complicated path that eventually repeats. The orbit of the other sphere on the long diagonal is the mirror image of this one.Figure optionsDownload as PowerPoint slideHighlights
► Identical spheres situated at the vertices of a horizontal kite configuration settle with a complex periodic motion.
► The center of mass of the four spheres oscillates in the vertical plane of the long axis.
► Orbits relative to the center of mass best illustrate the complex periodicity.
► Higher-order interaction terms for the kite configuration are important even for widely spaced spheres.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Powder Technology - Volume 214, Issue 1, 25 November 2011, Pages 14–20
نویسندگان
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