Mach Angle for Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
μ = asin(C/V)
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)
Variables Used
Mach Angle in Compressible Flow - (Measured in Radian) - Mach Angle in Compressible Flow is defined as the angle between the Mach line and the direction of motion of the body.
Velocity of Sound in Medium - (Measured in Meter per Second) - Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave.
Projectile Velocity of Mach Cone - (Measured in Meter per Second) - Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone.
STEP 1: Convert Input(s) to Base Unit
Velocity of Sound in Medium: 330 Meter per Second --> 330 Meter per Second No Conversion Required
Projectile Velocity of Mach Cone: 410 Meter per Second --> 410 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = asin(C/V) --> asin(330/410)
Evaluating ... ...
μ = 0.935469940830376
STEP 3: Convert Result to Output's Unit
0.935469940830376 Radian -->53.5984794709435 Degree (Check conversion here)
FINAL ANSWER
53.5984794709435 53.59848 Degree <-- Mach Angle in Compressible Flow
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute of Technology (IIT), Bombay
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Go Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium))
Pressure Ratio for Maximum Flow Rate through Nozzle
Go Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))
Velocity of Projectile of Mach Cone in Compressible Fluid Flow
Go Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow))
Mach Angle for Compressible Fluid Flow
Go Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
Velocity of Sound Wave considering Mach Angle in Compressible Fluid Flow
Go Velocity of Sound in Medium = Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)
Velocity of Sound Wave given Bulk Modulus
Go Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
Sonic Velocity
Go Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
Velocity of Sound Wave given Mach Number for Compressible Fluid Flow
Go Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow
Mach Number for Compressible Fluid Flow
Go Mach Number for Compressible Flow = Projectile Velocity of Mach Cone/Velocity of Sound in Medium
Bulk Modulus for Velocity of Sound Wave
Go Bulk Modulus of Sound Medium = Density of Air Medium*Velocity of Sound in Medium^2

Mach Angle for Compressible Fluid Flow Formula

Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
μ = asin(C/V)

What is the significance of Mach number in compressible fluid flow?

The Mach Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor. The bulk modulus elasticity has the dimension pressure and is commonly used to characterize fluid compressibility. The square of the Mach number is the Cauchy Number.

What is the velocity of sound in solids?

The speed of sound in solid is 6000 meters per second while the speed of sound in steel is equal to 5100 meters per second. Another interesting fact about the speed of the sound is that sound travels 35 times faster in diamonds than in the air.

How to Calculate Mach Angle for Compressible Fluid Flow?

Mach Angle for Compressible Fluid Flow calculator uses Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone) to calculate the Mach Angle in Compressible Flow, The Mach angle for compressible fluid flow formula is known by considering the inverse sin with the ratio of the velocity of the sound wave to the velocity of the fluid. Mach Angle in Compressible Flow is denoted by μ symbol.

How to calculate Mach Angle for Compressible Fluid Flow using this online calculator? To use this online calculator for Mach Angle for Compressible Fluid Flow, enter Velocity of Sound in Medium (C) & Projectile Velocity of Mach Cone (V) and hit the calculate button. Here is how the Mach Angle for Compressible Fluid Flow calculation can be explained with given input values -> 3070.967 = asin(330/410).

FAQ

What is Mach Angle for Compressible Fluid Flow?
The Mach angle for compressible fluid flow formula is known by considering the inverse sin with the ratio of the velocity of the sound wave to the velocity of the fluid and is represented as μ = asin(C/V) or Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone). Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave & Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone.
How to calculate Mach Angle for Compressible Fluid Flow?
The Mach angle for compressible fluid flow formula is known by considering the inverse sin with the ratio of the velocity of the sound wave to the velocity of the fluid is calculated using Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone). To calculate Mach Angle for Compressible Fluid Flow, you need Velocity of Sound in Medium (C) & Projectile Velocity of Mach Cone (V). With our tool, you need to enter the respective value for Velocity of Sound in Medium & Projectile Velocity of Mach Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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