Thermally and calorically perfect gas

For thermally and calorically perfect gas (often simply called “perfect gas” in English), the thermal equation of state of ideal gases applies on the one hand and (the specific heat capacity for constant volume) and (the specific heat capacity for constant pressure) are both constant. The thermally and calorically perfect gas is therefore a special ideal gas ; the concept represents a (strong) simplification compared to the conditions in a real gas ; it is mainly used for calculations in the fluid mechanics of gases . ${\displaystyle c_{V}}$ ${\displaystyle c_{p}}$

Equations of state in intensive form

For the specific (i.e. in relation to the mass ) internal energy applies: ${\displaystyle m}$

${\displaystyle \ u=c_{V}\cdot T}$,

where is the Kelvin temperature . ${\displaystyle T}$

The following then applies to the specific enthalpy :

${\displaystyle \ h=c_{p}\cdot T}$

From the equation of state of ideal gases it follows:

${\displaystyle \ p=\rho \cdot R_{\mathrm {s} }\cdot T}$,

wherein the specific gas constant , the pressure and the density is. ${\displaystyle R_{\mathrm {s} }}$ ${\displaystyle p}$ ${\displaystyle \rho }$

In addition:

${\displaystyle \ c_{p}=c_{V}+R_{\mathrm {s} }}$

Individual evidence

1. ↑ Thermal Engineering (RK Rajput, Laxmi Publications, 2010)
2. ↑ Fluid mechanics: for engineers and natural scientists (H. Oertel, M. Böhle, T. Leviol, Springer-Verlag, 7th edition (2014))
3. ↑ Parameters for the design of efficient housing structures (website of the Technical University of Munich , dissertation by G. Brignole at the chair for aircraft propulsion, accessed on November 3, 2016)
4. ↑ Gas turbine manual (MP Boyce (translation from English), Springer-Verlag, 2013)