Spherical Adiabatic Shock Radius Calculator

Calculate Spherical Adiabatic Shock Radius

Joules
Energy from explosion or sudden event, often in scientific notation (e.g., 1e12 for 1 × 1012).
kg/m³
Density of the surrounding gas or medium (e.g., 1.225 for air at STP).
seconds
Time since the energy release event.
dimensionless
Typically 1.03 (for γ=7/5) or 1.15 (for γ=5/3), depending on the specific heat ratio.
Explore the dynamics of powerful events with our Spherical Adiabatic Shock Radius Calculator. Precisely determine the expansion of a shockwave generated by a sudden release of energy under adiabatic conditions, crucial for understanding blast physics, astrophysical phenomena, and gas compression in extreme environments.

Formula:

The formula to calculate the Spherical Adiabatic Shock Radius is based on the Sedov-Taylor solution for strong spherical shock waves:

R = ξ0 × (E / ρ0)1/5 × t2/5

  • R = Spherical Adiabatic Shock Radius (meters)
  • ξ0 = Sedov-Taylor Constant (dimensionless, typically 1.03 to 1.15, depending on the adiabatic index γ)
  • E = Total Energy Released (Joules)
  • ρ0 = Ambient Medium Density (kg/m³)
  • t = Time Elapsed (seconds)

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