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compressibility

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compressibility

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Also known as coefficient of compressibility, bulk compressibility

In thermodynamics and fluid mechanics, the compressibility (also known as the coefficient of compressibility or, if the temperature is held constant, the isothermal compressibility) is a measure of the instantaneous relative volume change of a fluid or solid as a response to a pressure (or mean stress) change. In its simple form, the compressibility \kappa (denoted in some fields) may be expressed as

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10 sections
Contents
  • Definition
  • Relation to speed of sound
  • Relation to bulk modulus
  • Thermodynamics
  • Earth science
  • Fluid dynamics
  • Aerodynamics
  • Negative compressibility
  • See also
  • References

In thermodynamics and fluid mechanics, the compressibility (also known as the coefficient of compressibility or, if the temperature is held constant, the isothermal compressibility) is a measure of the instantaneous relative volume change of a fluid or solid as a response to a pressure (or mean stress) change. In its simple form, the compressibility \kappa (denoted in some fields) may be expressed as \beta =-\frac{1}{V}\frac{\partial V}{\partial p},

where is volume and is pressure. The choice to define compressibility as the negative of the fraction makes compressibility positive in the (usual) case that an increase in pressure induces a reduction in volume. The reciprocal of compressibility at fixed temperature is called the isothermal bulk modulus.

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