1. What is Mach Angle?

The Mach Angle (μ) is the angle formed between the Mach wave and the direction of motion in supersonic flow. It represents the angle at which disturbances propagate in a compressible fluid when an object moves faster than the speed of sound.

2. How Does the Calculator Work?

The calculator uses the Mach Angle formula:

Where:

• \( \mu \) — Mach Angle (degrees)
• \( M \) — Mach Number
• \( \arcsin \) — Inverse sine function

Explanation: The formula shows that as Mach number increases, the Mach angle decreases, creating a narrower cone of disturbance behind the moving object.

3. Importance of Mach Angle Calculation

Details: Mach Angle is fundamental in supersonic aerodynamics for understanding shock wave formation, designing supersonic aircraft, and analyzing compressible flow behavior around objects moving faster than sound.

4. Using the Calculator

Tips: Enter Mach number greater than 1.0 (supersonic flow). The calculator will compute the corresponding Mach angle in degrees. Valid range is M > 1.0.

5. Frequently Asked Questions (FAQ)

Q1: What happens at Mach 1?
A: At Mach 1, the Mach angle is 90 degrees, meaning disturbances propagate perpendicular to the direction of motion.

Q2: Can Mach angle be calculated for subsonic flow?
A: No, Mach angle is only defined for supersonic flow (M > 1.0). For subsonic flow, disturbances propagate in all directions.

Q3: How does Mach angle relate to shock waves?
A: The Mach cone represents the boundary of the region affected by the moving object. Shock waves form within this cone at specific angles depending on object shape.

Q4: What is the minimum possible Mach angle?
A: As Mach number approaches infinity, Mach angle approaches 0 degrees, creating an increasingly narrow disturbance cone.

Q5: Why is Mach angle important in aircraft design?
A: It helps determine the extent of the supersonic region, shock wave positioning, and aerodynamic heating distribution on aircraft surfaces.