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Bulk Modulus Modules

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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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CALCULATOR MODULE : Fresh Water Bulk Modulus   ±

Calculate fresh water density and bulk modulus from temperature using Kell's equations (1975).

Kells equations are valid for temperatures from 0 to 100 C, at atmospheric pressure. The calculations are based on the 1968 international temperature scale (IPTS-68).

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CALCULATOR MODULE : Velocity Of Sound In A Solid   ±

Calculate the velocity of sound in a solid.

The speed of sound in a solid is calculated from the solid density and bulk modulus.

`a = √(K / ρ) `

where :

a = speed of sound
K = bulk modulus
ρ = density

The bulk modulus can be calculated from the elastic modulus and Poisson's ratio, or from the speed of sound in the solid.

`K = a^2 ρ `
`K = E / (3 (1 - 2 γ )) `

where :

E = elastic modulus
γ = Poisson ratio

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CALCULATOR MODULE : Material Elastic Modulus   ±

Calculate material elastic modulus.

The elastic stiffness of a material is defined by the elastic modulus, Poisson's ratio, Lame's first parameter, bulk modulus, shear modulus and p-wave modulus. Calculate material Poisson ratio, bulk modulus, Lames first parameter, shear modulus and p-wave modulus. These six properties are interdependent so that if any two properties are known the other four properties can be calculated.

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DATA MODULE : Fluid Density And Specific Gravity ( Open In Popup Workbook )   ±
DATA MODULE : Material Elastic Modulus And Poisson Ratio ( Open In Popup Workbook )   ±