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, Russiashow less
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.
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).
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).
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).
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-tions | Δf mm | U0l (kV) | Ig MA | Uf1 − Uf2 kV | U− (kV) | I (MA) | L (nH) | B (MG) | PB (Mbar) | Pex (Mbar) | Pmax (Mbar) | vmax (km/s) |
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1(2W) | 0.12 | 6 | 66 | 250–277 | 118 | 57 | 7.6 | 8.0 | 2.57 | 11.8 | 12.7 | 28 | 2(4W) | 0.15 | 6 | 77 | 337–262 | 132 | 60 | 6.8 | 7.6 | 2.32 | 11.8 | 12.8 | 29 | 3(2Cu) | 0.12 | 6 | 66 | 250–277 | 118 | 57 | 7.6 | 7.9 | 2.46 | 8.5 | 9.8 | 32 | 4(4Cu) | 0.15 | 6 | 77 | 337–262 | 132 | 60 | 6.8 | 7.5 | 2.22 | 8.5 | 9.9 | 32 | 5(2w) | 0.12 | 6 | 62 | 263–298 | 115 | 52 | 7.9 | 10.7 | 4.56 | 15.7–19.0 | 15.7–19.0 | 25–27 | 6(4w) | 0.15 | 6 | 75 | 351–279 | 131 | 55 | 7.0 | 10.5 | 4.39 | 16.1–19.5 | 16.1–19.7 | 26–28 | 7(2cu) | 0.12 | 6 | 62 | 265–304 | 114 | 51 | 8.0 | 10.8 | 4.64 | ⋯ | 11.6–13.5 | 28–30 | 8(4cu) | 0.15 | 6 | 75 | 352–283 | 131 | 55 | 7.0 | 10.6 | 4.47 | ⋯ | 12.3–14.5 | 30–33 | 9(2w0) | 0.12 | 0 | 63 | 385–375 | 117 | 49 | 9.2 | 11.0 | 4.81 | 11.8–13.6 | 11.9–14.1 | 21–23 | 10(4w0) | 0.15 | 0 | 78 | 452–295 | 137 | 53 | 8.0 | 10.9 | 4.73 | 14.4–17.6 | 14.6–17.6 | 23–25 |
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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, Uf1 − Uf2, 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).