Home
Back
Formula Used:
| From: | To: |
The velocity of sound wave considering Mach angle in compressible fluid flow describes the relationship between the speed of sound in a medium, the projectile velocity, and the Mach angle formed in compressible flow conditions.
The calculator uses the formula:
Where:
Explanation: This formula calculates the speed of sound in a medium based on the projectile velocity and the Mach angle formed during compressible fluid flow.
Details: Accurate calculation of sound velocity is crucial for understanding compressible flow phenomena, designing supersonic aircraft, analyzing shock waves, and studying aerodynamic properties in high-speed fluid dynamics.
Tips: Enter projectile velocity in m/s and Mach angle in radians. Both values must be positive (velocity > 0, angle between 0-1.57 radians).
Q1: What is the Mach angle in compressible flow?
A: The Mach angle is the angle formed between the Mach line (shock wave front) and the direction of motion of a body moving at supersonic speed.
Q2: Why is the sine function used in this formula?
A: The sine function relates the Mach angle to the ratio of sound velocity to projectile velocity, following the fundamental relationship in Mach cone geometry.
Q3: What are typical values for sound velocity in different media?
A: Sound velocity varies by medium: ~343 m/s in air, ~1480 m/s in water, and ~5120 m/s in steel at room temperature.
Q4: How does compressibility affect sound velocity?
A: In compressible flows, the speed of sound becomes a critical parameter that determines whether flow is subsonic, transonic, or supersonic, affecting wave propagation and shock formation.
Q5: What are the limitations of this calculation?
A: This formula assumes ideal conditions and may need adjustments for extreme temperatures, pressures, or complex fluid compositions that affect sound propagation.