Compressibility

Compressibility (/kɒmprɛsɪˈbɪlɪti/) is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change.

Etymology

The term "compressibility" is derived from the Latin word "compressibilis", which means "able to be pressed together".

Related Terms

Definition

In thermodynamics and fluid mechanics, compressibility (also known as the coefficient of compressibility or isothermal compressibility) is a measure of the relative volume change of a fluid or solid as a response to a pressure change.

Mathematical Representation

The compressibility of a substance is defined as the relative change in volume per unit change in pressure. Mathematically, it is represented as:

β = -1/V * (dV/dP)

where:

β is the compressibility,
V is the initial volume,
dV is the change in volume, and
dP is the change in pressure.

Applications

Compressibility has applications in several fields such as petroleum engineering, aerospace engineering, and geophysics. It is particularly important in the design of aircraft and turbine engines.

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Compressibility