🚀 Compressible Flow Calculator
Isentropic flow relations, area ratios, and normal shock analysis for compressible gas dynamics.
📝 Configuration
Isentropic Relations:
T₀/T = 1 + (γ-1)/2 × M²
P₀/P = (T₀/T)^(γ/(γ-1))
A/A* = (1/M)[(2/(γ+1))(1+(γ-1)/2 M²)]^((γ+1)/(2(γ-1)))
Normal Shock:
M₂² = [(γ-1)M₁²+2] / [2γM₁²-(γ-1)]
P₂/P₁ = 1 + 2γ/(γ+1)(M₁²-1)
T₀/T = 1 + (γ-1)/2 × M²
P₀/P = (T₀/T)^(γ/(γ-1))
A/A* = (1/M)[(2/(γ+1))(1+(γ-1)/2 M²)]^((γ+1)/(2(γ-1)))
Normal Shock:
M₂² = [(γ-1)M₁²+2] / [2γM₁²-(γ-1)]
P₂/P₁ = 1 + 2γ/(γ+1)(M₁²-1)
📊 Results & Visualization
Configure the inputs and click Calculate to see results.
ℹ️ About Compressible Flow
Compressible flow occurs when fluid density changes significantly, typically at Mach numbers above 0.3.
Key concepts:
• Subsonic (M < 1): Pressure disturbances propagate upstream
• Sonic (M = 1): Flow at the speed of sound; A* = minimum area
• Supersonic (M > 1): Shock waves form; area increases accelerate flow
• Normal shock: Abrupt deceleration from supersonic to subsonic; entropy increases
Compressible flow occurs when fluid density changes significantly, typically at Mach numbers above 0.3.
Key concepts:
• Subsonic (M < 1): Pressure disturbances propagate upstream
• Sonic (M = 1): Flow at the speed of sound; A* = minimum area
• Supersonic (M > 1): Shock waves form; area increases accelerate flow
• Normal shock: Abrupt deceleration from supersonic to subsonic; entropy increases