heat capacity ratio

Therefore, the heat capacity ratio in this example is 1.4.

The property is either called the adiabatic index or the heat capacity ratio.

For a given geometry, can be calculated using correlations in terms of the "heat capacity ratio"

The tables below have been calculated using a heat capacity ratio, , equal to 1.4.

Laplace in 1816 was the first to point out that the speed of sound in air depends on the heat capacity ratio.

Thus, it can also be said that the heat capacity ratio is the ratio between the enthalpy to the internal energy:

The efficiency of the ideal Brayton cycle is , where is the heat capacity ratio.

Introducing the heat capacity ratio as γ, the speed of sound, density, and pressure ratios can be derived:

The ratio relation allows one to express the isentropic compressibility in terms of the heat capacity ratio.

Complicating factors in the anomalous region include detailed gas behavior of the explosive products, including the reaction products' Heat capacity ratio or γ.

The isentropic bulk modulus , where is the specific heat capacity ratio and is the fluid pressure.

Furthermore, the heat capacities can be expressed in terms of heat capacity ratio ( ) and the gas constant ( ):

Helium, mixed with a heavier gas such as xenon, is useful for thermoacoustic refrigeration due to the resulting high heat capacity ratio and low Prandtl number.

Other terms in the differential equation are the heat capacity ratio, γ, the Fanning friction factor, f, and the hydraulic diameter, D:

When one substitutes that expression in the heat capacity ratio expressed as the ratio of the partial derivatives of the entropy above, it follows:

Adiabatic index, also known as the Heat capacity ratio, the ratio of the heat capacity at constant pressure to that at constant volume.

This equation is correct to a much wider temperature range, but still depends on the approximation of heat capacity ratio being independent of temperature, and for this reason will fail, particularly at higher temperatures.

Because of its inertness, thermally and calorically perfect nature, high speed of sound, and high value of the heat capacity ratio, it is also useful in supersonic wind tunnels and impulse facilities.

Newton was the first to develop a mathematical model for calculating the speed of sound, but it was not correct until Pierre-Simon Laplace accounted for the molecular behavior of gases and introduced the heat capacity ratio.

The heat capacity ratio or adiabatic index or ratio of specific heats, is the ratio of the heat capacity at constant pressure () to heat capacity at constant volume ().

In a similar way, compression waves in solids depend both on compressibility and density-just as in liquids-but in gases the density contributes to the compressibility in such a way that some part of each attribute factors out, leaving only a dependence on temperature, molecular weight, and heat capacity ratio (see derivations below).

In gases, adiabatic compressibility is directly related to pressure through the heat capacity ratio (adiabatic index), and pressure and density are inversely related at a given temperature and composition, thus making only the latter independent properties (temperature, molecular composition, and heat capacity ratio) important.