• Matter and Radiation at Extremes
  • Vol. 5, Issue 4, 047402 (2020)
A. M. Buykoa), G. G. Ivanova, and I. V. Morozova
Author Affiliations
  • FSUE, Russian Federal Nuclear Center – All-Russian Research Institute of Experimental Physics (RFNC-VNIIEF), Sarov, Nizhny Novgorod Region, Russia
  • show less
    DOI: 10.1063/1.5140621 Cite this Article
    A. M. Buyko, G. G. Ivanova, I. V. Morozova. Simulations of ALT-like explosive magnetic devices for ramp compression of materials by magnetically imploded liners[J]. Matter and Radiation at Extremes, 2020, 5(4): 047402 Copy Citation Text show less
    Layout and basic parameters of the ALT-3 device (projected). 1 and 2: Ø0.4 m helical and 15-module disk explosive magnetic generators (HEMGs and DEMGs); 3 and 4: explosive closing switches (ECS)—crowbar 3 disconnects the HEMG at initial DEMG current I0 = 7 MA (t = t0); ECS 4, having low resistivity Rkl, connects a load of inductance L0 = 6 nH at a given time t0l, at fuse opening switch (FOS) voltage U0l Δf = 0.12–15 mm and height ∼90 cm; 6 and 7: coaxial-radial transmission line (TL); 8: ponderomotive unit (PU) with an Al liner of outer and inner radius Rl = 4 cm and Rin0 = 3.7 cm (ΔAl = 3 mm) and height Hl ∼ 1.2Rl; 9: PU end walls; 10 and 11: current probes; 12: measuring unit of radius Rimp = 1 cm (implosion depth Rin0/Rimp = 3.7) with photon doppler velocimetry (PDV) probes and test samples.
    Fig. 1. Layout and basic parameters of the ALT-3 device (projected). 1 and 2: Ø0.4 m helical and 15-module disk explosive magnetic generators (HEMGs and DEMGs); 3 and 4: explosive closing switches (ECS)—crowbar 3 disconnects the HEMG at initial DEMG current I0 = 7 MA (t = t0); ECS 4, having low resistivity Rkl, connects a load of inductance L0 = 6 nH at a given time t0l, at fuse opening switch (FOS) voltage U0l < 10 kV; 5: electrically exploded FOS with Cu foil of thickness Δf = 0.12–15 mm and height ∼90 cm; 6 and 7: coaxial-radial transmission line (TL); 8: ponderomotive unit (PU) with an Al liner of outer and inner radius Rl = 4 cm and Rin0 = 3.7 cm (ΔAl = 3 mm) and height Hl ∼ 1.2Rl; 9: PU end walls; 10 and 11: current probes; 12: measuring unit of radius Rimp = 1 cm (implosion depth Rin0/Rimp = 3.7) with photon doppler velocimetry (PDV) probes and test samples.
    (a) Load current derivative dI/dt in the ALT-2 experiment and in the previous simulation (heavy and fine lines, dashed line represents the calculated FOS voltage Uf); (b) dI/dt and inner liner surface velocity vin(t) in the revised and previous simulations (heavy and fine lines).
    Fig. 2. (a) Load current derivative dI/dt in the ALT-2 experiment and in the previous simulation (heavy and fine lines, dashed line represents the calculated FOS voltage Uf); (b) dI/dt and inner liner surface velocity vin(t) in the revised and previous simulations (heavy and fine lines).
    Results of revised simulation of the ALT-3 device (heavy lines), previous simulation (fine lines), and simulation 1 (dashed line): (a) currents Ig(t) and I(t) and inductance L(t) in the load; (b) current derivative dI/dt and velocity of the inner liner surface vin(t); (c) FOS voltage Uf(t) and rate of magnetic flux losses in the load U−(t); (d) profiles of ramp P(r) and magnetic PB(r) pressures in the liner at the end of implosion (Rin = Rimp = 1 cm).
    Fig. 3. Results of revised simulation of the ALT-3 device (heavy lines), previous simulation (fine lines), and simulation 1 (dashed line): (a) currents Ig(t) and I(t) and inductance L(t) in the load; (b) current derivative dI/dt and velocity of the inner liner surface vin(t); (c) FOS voltage Uf(t) and rate of magnetic flux losses in the load U(t); (d) profiles of ramp P(r) and magnetic PB(r) pressures in the liner at the end of implosion (Rin = Rimp = 1 cm).
    Results of device simulations with Cu/W and Cu liners (6) at FOS Cu foil thickness of 0.15 mm [nos. 6(4w), 8(4cu), and 10(4w0) in Table I]. (a) Currents in DEMG Ig(t) and liner I(t), load inductance L(t); (b) voltages on foil Uf(t) and load walls U−(t); (c) pressure Pex(t) on the outer boundary Rex(t) of the tested liner layer and velocity vin(t) of the inner boundary Rin(t) of this layer; (d) profiles of ramp P(r) and magnetic PB(r) pressures in the liner at the end of implosion (Rin = Rimp = 0.7 mm).
    Fig. 4. Results of device simulations with Cu/W and Cu liners (6) at FOS Cu foil thickness of 0.15 mm [nos. 6(4w), 8(4cu), and 10(4w0) in Table I]. (a) Currents in DEMG Ig(t) and liner I(t), load inductance L(t); (b) voltages on foil Uf(t) and load walls U(t); (c) pressure Pex(t) on the outer boundary Rex(t) of the tested liner layer and velocity vin(t) of the inner boundary Rin(t) of this layer; (d) profiles of ramp P(r) and magnetic PB(r) pressures in the liner at the end of implosion (Rin = Rimp = 0.7 mm).
    (Pex vs Rex) and (vin vs Rin) plots of the outer and inner boundaries of the liner’s tested W layer from simulations 6(4w) and 10(4w0), see Table I and Fig. 4.
    Fig. 5. (Pex vs Rex) and (vin vs Rin) plots of the outer and inner boundaries of the liner’s tested W layer from simulations 6(4w) and 10(4w0), see Table I and Fig. 4.
    Simula-tionsΔf mmU0l (kV)Ig MAUf1Uf2 kVU (kV)I (MA)L (nH)B (MG)PB (Mbar)Pex (Mbar)Pmax (Mbar)vmax (km/s)
    1(2W)0.12666250–277118577.68.02.5711.812.728
    2(4W)0.15677337–262132606.87.62.3211.812.829
    3(2Cu)0.12666250–277118577.67.92.468.59.832
    4(4Cu)0.15677337–262132606.87.52.228.59.932
    5(2w)0.12662263–298115527.910.74.5615.7–19.015.7–19.025–27
    6(4w)0.15675351–279131557.010.54.3916.1–19.516.1–19.726–28
    7(2cu)0.12662265–304114518.010.84.6411.6–13.528–30
    8(4cu)0.15675352–283131557.010.64.4712.3–14.530–33
    9(2w0)0.12063385–375117499.211.04.8111.8–13.611.9–14.121–23
    10(4w0)0.15078452–295137538.010.94.7314.4–17.614.6–17.623–25
    Table 1. Results of simulations of devices with Al/W and Al/Cu liners (3), Rin0/Rimp ∼ 27 (simulations 1–4) and simulations of devices with Cu/W and Cu liners (6), Rimp = Rin0/Rimp = 18–26 (simulations 5–10). Here, Δf and U0l are the Cu foil thickness and voltage at t = t0l (Fig. 1); Ig, Uf1Uf2, and U are the maximum values of DEMG current and voltage on FOS (peaks 1 and 2) and load walls; I and L are the maximum current and respective load inductance; B and PB are the highest magnetic field and magnetic pressure in the liner’s skin layer; Pex, Pmax, and vmax are the pressures on the outer surface and inside the layer, and layer velocity at the end of implosion (Rin = Rimp).
    A. M. Buyko, G. G. Ivanova, I. V. Morozova. Simulations of ALT-like explosive magnetic devices for ramp compression of materials by magnetically imploded liners[J]. Matter and Radiation at Extremes, 2020, 5(4): 047402
    Download Citation