Research Article
Similarity Law between Centrifuge Scale Test and Prototype Underwater Explosion
Table 2
Scaling similarity relation of dynamic parameters of underwater explosion [
29].
| Parameters | Dimension | Prototype | Scale model | Value |
| Explosive radius | L | R0 | λR0 | λ | Standoff distance | R | λR | λ | Explosion depth | D | λD | λ | Bubble radius | Rb | λRb | λ | Length | L | λL | λ | Displacement | L | λL | λ |
| Period | T | Tb | λTb | λ |
| Explosion weight | M | W | λ3W | λ3 | Structure weight | M | λ3M | λ3 |
| Water density | ML−3 | | | 1 | Explosion density | ρc | ρc | 1 |
| Fluid velocity | LT−1 | | | 1 | Detonation velocity | Uc | Uc | 1 |
| Atmosphere pressure | ML−1T−2 | Patm | Patm | 1 | Shock wave peak pressure | Pm | Pm | 1 | Bubble pulsation pressure | Pbm | Pbm | 1 | Hydrostatic pressure | P0 | P0 | 1 | Strength | σmax | σmax | 1 | Surface load | P | P | 1 | Stress | σ = σmax | σ = σmax | 1 | Stress-strain relationship | f = σ (ε) | f = σ (ε) | 1 |
| Strain | 1 | ε | ε | 1 |
| Acceleration | LT−2 | | /λ | 1/λ |
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