Isentropic Flow Pressure-Density Relation Calculator

Calculate Final Pressure (P₂) for Isentropic Flow

e.g., Pascals (Pa), psi, bar. Ensure consistent units.
e.g., kg/m³, lb/ft³. Ensure consistent units.
e.g., kg/m³, lb/ft³. Ensure consistent units.
Typically 1.4 for air (diatomic gas).

Discover the precise relationship between pressure and density in an isentropic flow process using this online calculator. Ideal for students and professionals in thermodynamics and fluid dynamics, it helps determine the final pressure (P₂) when initial conditions (P₁, ρ₁), final density (ρ₂), and the specific heat ratio (γ) are known. Simplify your calculations for adiabatic processes instantly.

Formula:

The formula for the isentropic flow relation between pressure and density is derived from the ideal gas law under isentropic conditions:

P₂ = P₁ * (ρ₂ / ρ₁)^γ

  • P₁: Initial Pressure (e.g., Pascals, psi, bar)
  • P₂: Final Pressure (Output, in the same unit as P₁)
  • ρ₁ (rho₁): Initial Density (e.g., kg/m³, lb/ft³)
  • ρ₂ (rho₂): Final Density (e.g., kg/m³, lb/ft³, in the same unit as ρ₁)
  • γ (gamma): Specific Heat Ratio (dimensionless, e.g., 1.4 for air)

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