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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
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
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
Linking options:
https://www.mathnet.ru/eng/ufn6744 https://www.mathnet.ru/eng/ufn/v190/i10/p1109
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Abstract page: | 158 | Full-text PDF : | 38 | References: | 36 | First page: | 4 |
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