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Uspekhi Fizicheskikh Nauk, 2020, Volume 190, Number 10, Pages 1109–1114
DOI: https://doi.org/10.3367/UFNr.2020.03.038733
(Mi ufn6744)
 

This article is cited in 2 scientific papers (total in 2 papers)

METHODOLOGICAL NOTES

Irrotational flow (of a magnetic field or incompressible fluid) around a screen with a slot

S. F. Garanin, S. D. Kuznetsov

Russian Federal Nuclear Center—All-Russian Research Institute of Experimental Physics, Sarov, Nizhny Novgorod region
Full-text PDF (802 kB) Citations (2)
References:
Abstract: Problems concerning irrotational flows past obstacles may have physical applications in magneto- and electrostatics, as well as in the description of hydrodynamical flows of incompressible fluids. It is shown that for a magnetic field flow (or a flow of incompressible fluid in the hydrodynamical case) around an ideally conducting (impermeable) screen of width $D$ with a narrow slot of width $\Delta$ a substantial flux passes trough the slot, so that, for example, a magnetic field (the velocity in the hydrodynamical problem) averaged over a slot with the width $\Delta =0.01D$ will be 26 times greater than its far upstream value. The hydrodynamical problem is also formulated for an axisymmetric case for a circular screen and orifice. In this case, if the orifice is small enough, the flux of fluid proves to be proportional to the orifice diameter $\Delta$, whereas fluid speed in the orifice increases as $1/\Delta$ if $\Delta$ is decreased, i.e., even faster than in plane geometry.
Received: January 31, 2020
Revised: February 28, 2020
Accepted: March 12, 2020
English version:
Physics–Uspekhi, 2020, Volume 63, Issue 10, Pages 1037–1042
DOI: https://doi.org/10.3367/UFNe.2020.03.038733
Bibliographic databases:
Document Type: Article
PACS: 02.30.Em, 41.20.Cv, 41.20.Gz, 47.15.Hg, 47.15.km
Language: Russian
Citation: S. F. Garanin, S. D. Kuznetsov, “Irrotational flow (of a magnetic field or incompressible fluid) around a screen with a slot”, UFN, 190:10 (2020), 1109–1114; Phys. Usp., 63:10 (2020), 1037–1042
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ufn/v190/i10/p1109
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи физических наук Physics-Uspekhi
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