An exact irrotational solution for a hemispherically bounded cyclonic flowfield
نویسندگان
چکیده
This study focuses on the development of an internal potential flow solution in context a hemispherically bounded cyclonic chamber. The analysis proceeds from Bragg–Hawthorne equation, which is quite effective treatment steady, inviscid, and axisymmetric flows when expressed terms streamfunction. Once streamfunction obtained, other properties are readily deduced; these include principal velocity pressure distributions, swirl intensity, crossflow velocity, mantle location. Furthermore, given overarching spherical geometry, two different types mantles identified related to coexistence axially bidirectional circularly bipolar regions. first, axial mantle, traditionally used cylindrical conical cyclone separators, consists rotating, non-translating interfacial layer along vanishes. It thus separates outer, vertical updraft, inner, swirling downdraft. second, polar arises hemispherical configuration, coincides with interface hence partitions domain into much larger outer region, where direction remains strictly counterclockwise, proportionally smaller inner outflow becomes clockwise. Despite their dissimilar structures, both meet exit plane at fractional radius 1/e2 or 13.53%. In this study, unique characteristics resulting irrotational motion, reduces continuously looping, vortex, evaluated discussed.
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2021
ISSN: ['1527-2435', '1089-7666', '1070-6631']
DOI: https://doi.org/10.1063/5.0051111