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摘要:
In this paper, Beltrami vector fields in several orthogonal coordinate systems are obtained analytically and numerically. Specifically, axisymmetric incompressible inviscid steady state Beltrami (Trkalian) fluid flows are obtained with the motivation to model flows that have been hypothesized to occur in tornadic flows. The studied coordinate systems include those that appear amenable to modeling such flows: the cylindrical, spherical, paraboloidal, and prolate and oblate spheroidal systems. The usual Euler equations are reformulated using the Bragg-Hawthorne equation for the stream function of the flow, which is solved analytically or numerically in each coordinate system under the assumption of separability of variables. Many of the obtained flows are visualized via contour plots of their stream functions in the <em>rz</em>-plane. Finally, the results are combined to provide a qualitative quasi-static model for a progression of tornado-like flows that develop as swirl increases. The results in this paper are equally applicable in electromagnetics, where the equivalent concept is that of a force-free magnetic field.
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篇名 On the Axisymmetric Steady Incompressible Beltrami Flows
来源期刊 流体动力学(英文) 学科 数学
关键词 Axisymmetric Beltrami Flow Trkalian Flow Bragg-Hawthorne Equation Cylindrical Coordinates Spherical Coordinates Paraboloidal Coordinates Prolate Spheroidal Coordinates Oblate Spheroidal Coordinates Vorticity
年,卷(期) 2020,(3) 所属期刊栏目
研究方向 页码范围 208-238
页数 31页 分类号 O17
字数 语种
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Axisymmetric
Beltrami
Flow
Trkalian
Flow
Bragg-Hawthorne
Equation
Cylindrical
Coordinates
Spherical
Coordinates
Paraboloidal
Coordinates
Prolate
Spheroidal
Coordinates
Oblate
Spheroidal
Coordinates
Vorticity
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研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
流体动力学(英文)
季刊
2165-3852
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
302
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