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CURRENT SPREADING ACROSS THE WIDTH OF THIN FOILS (IN SERPENTINE-TYPE SYSTEMS) OR PLANAR CURRENT SHEETS

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Abstract

The problem of current spreading across the width of thin foils (in serpentine-type systems) or planar current sheets is considered. The evolution of the current distribution across the width of non-uniform thin conductive layers or foils is calculated using an integrodifferential equation which makes the two-dimensional problem for the magnetic field one-dimensional. An infinite periodic serpentine-type system of planar foils is considered. It is shown that in this system, the current distribution in the foil initially corresponds to its ideal conductivity and then relaxes to a uniform distribution. If the foils are used as opening switches, the current is expected time to get uniformly distributed across their width during current delivery to the load; therefore, the corrections for the nonuniformity of the current distribution in the switches should be small.

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REFERENCES

  1. V. A. Burtsev, N. V. Kalinin, and A. V. Luchinskii, Electric Explosion of Conductors and Its Application in Electrophysical Facilities (Energoizdat, Moscow, 1990) [in Russian].

    Google Scholar 

  2. A. M. Buyko, “Electrically Exploded Opening Switches in High-Current Explosive Magnetic Generators," Prikl. Mekh. Tekh. Fiz. 56 (1), 137–149 (2015) [J. Appl. Mech. Tech. Phys. 56 (1), 114–124 (2015); DOI: 10.1134/S0021894415010186].

    Article  ADS  Google Scholar 

  3. A. A. Bazanov, E. I. Bochkov, S. G. Garanin, et al., “Source of a Mega-Ampere Current with ~100 ns Time of Rise Based on an Explosive Magnetic Generator," Dokl. Akad. Nauk 489 (4), 355–357 (2018) [Dokl. Phys. 64, 443–445 (2019); DOI: 10.1134/S1028335819120012].

    Article  ADS  Google Scholar 

  4. S. F. Garanin and S. D. Kuznetsov, “Overheating Instability of a Thin Conductor with Respect to Stratification," J. Appl. Phys. 123 (13), 133301 (2018).

    Article  ADS  Google Scholar 

  5. E. B. Tatarinova and K. V. Chukbar, “Electronic Flows in a Planar Plasma Layer," Zh. Eksp. Teor. Fiz. 92 (3), 809–812 (1987) [Sov. Phys. JETP, 65 (3), 455–457 (1987)].

    ADS  Google Scholar 

  6. M. I. D’yakonov and A. S. Furman, “Charge Relaxation in an Anisotropic Medium and in Low-Dimensional Media," Zh. Eksp. Teor. Fiz. 92 (3), 1012–1020 (1987).

    ADS  Google Scholar 

  7. V. V. Smirnov and K. V. Chukbar, “Explosive Contraction of a Current in a Cylindrical Current-Carrying Shell," Fizika Plazmy 25, 610–614 (1999).

    Google Scholar 

  8. K. V. Chukbar, Lectures on Transport Phenomena in Plasma (Intellekt, Dolgoprudnyi, 2008) [in Russian].

    Google Scholar 

  9. S. F. Garanin, E. M. Kravets, and V. Yu. Dolinskiy, “Instability of Thin Resistive Liners in the Linear Approximation," IEEE Trans. Plasma Sci. 48, 2020; DOI: 10.1109/TPS.2020.3034933.

    Article  ADS  Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Theoretical Physics: Hydrodynamics, Vol. 6 (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  11. S. F. Garanin and S. D. Kuznetsov, “Irrotational Flow (of a Magnetic Field or Incompressible Liquid) around a Screen with a Slot, " Uspekhi Fiz. Nauk 190 (10), 1109–1114 (2020) [Phys.-Usp. 63, 1037–1042 (2020)].

    Article  ADS  Google Scholar 

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Correspondence to E. M. Kravets.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 63, No. 2, pp. 48-60. https://doi.org/10.15372/PMTF20220205.

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Garanin, S.F., Kravets, E.M. CURRENT SPREADING ACROSS THE WIDTH OF THIN FOILS (IN SERPENTINE-TYPE SYSTEMS) OR PLANAR CURRENT SHEETS. J Appl Mech Tech Phy 63, 220–230 (2022). https://doi.org/10.1134/S0021894422020055

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  • DOI: https://doi.org/10.1134/S0021894422020055

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