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Mach Number Ma Modules

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CALCULATOR MODULE : Dimensionless Mach Number   ±

Calculate the dimensionless Mach number from fluid velocity and the speed of sound.

The Mach number is the ratio of the fluid velocity over the speed of sound

`Ma = v / c `
`c = √(k Z Rg T) `
`Rg = (Ro) / (mmg) `

where :

Ma = Mach number
v = fluid velocity
c = speed of sound
k = specific heat ratio
Z = compressibility factor
Rg = spefic gas constant
Ro = universal gas constant
mmg = gas molar mass

For an ideal gas the speed of sound can be calculated from the temperature. For objects moving through stationary fluid (eg an airplane), the velocity of the object is used.

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CALCULATOR MODULE : Compressible Flow   ±

Calculate compressible flow ratios and gas properties for isentropic and isothermal flow (critical over stagnation ratios, flowing over stagnation ratios, and flowing over critical flow ratios).

For isentropic flow, critical flow occurs at M = 1. For isothermal flow, critical flow occurs at M = 1 / √k, where k is the specific heat ratio (Cp/Cv). For isothermal flow the isothermal temperature is assumed equal to the stagnation temperature. Phase changes are ignored.

For flow through a throat, the flow upstream from the throat is sub critical (M ≤ Mc). The flow downstream is super critical (M > Mc). The area ratio is inversely proportional to the mass flux ratio. At stagnation conditions, the area ratio is infinite.

Use the Result Plot option to plot flow ratios versus Mach number, or nozzle area ratio and diameter ratio versus Mach number.

Reference : Fluid Mechanics, Frank M White, McGraw Hill

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CALCULATOR MODULE : Compressible Flow Speed Of Sound   ±

Calculate gas and liquid speed of sound and Mach number.

The Mach number is the ratio of the flow velocity to the speed of sound. It applies to either a moving fluid or to a moving object passing through stationary fluid. For a Mach number greater than one, the flow is supersonic. For a Mach number less than one, the flow is subsonic.

For an ideal gas, the speed of sound or sonic velocity can be calculated from the gas temperature, gas specific heat ratio and the gas specific gravity. For liquids the speed of sound can be calculated from the liquid bulk modulus and the liquid density.

Reference : Fluid Mechanics, Frank M White, McGraw Hill

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Related Modules :

CALCULATOR MODULE : Compressible Flow Normal Shock Wave   ±
CALCULATOR MODULE : Compressible Flow Pitot Tube   ±
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