Isentropic Flow Density Ratio Calculator (ρ/ρ₀)

Calculate Isentropic Density Ratio

Enter the Mach number (M ≥ 0).
Enter the ratio of specific heats (γ). Typical values: Air = 1.4, Helium = 1.66, Argon = 1.67.

Determine the isentropic flow density ratio (static density to total density) quickly. This calculator is crucial for understanding compressible fluid dynamics, gas flow, and aerodynamics. Input your Mach number and specific heat ratio (gamma) to find the relationship between static density (ρ) and stagnation density (ρ₀) under isentropic conditions.

Formula:

The formula for the isentropic flow relation between static density (ρ) and total density (ρ₀) is:

ρ / ρ₀ = [1 + ((γ - 1) / 2) × M²](-1 / (γ - 1))

  • ρ: Static Density
  • ρ₀: Total (Stagnation) Density
  • γ: Ratio of Specific Heats (Gamma)
  • M: Mach Number

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