c v = specific heat at constant volume process (kJ/kg K)
c p = specific heat at constant pressure process (kJ/kg K)
T = absolute temperature (K)
R = individual gas constant (kJ/kg K)
ρ = density of gas (kg/m 3 )
p = absolute pressure (Pa, N/m 2 )
κ = c p / c v (2)
κ = specific heat ratio
(1) can be transformed to:
(T 2 / T 1 ) (κ/(κ-1)) = (ρ 2 / ρ 1 ) κ = (p 2 / p 1 ) (3)
(3) express the useful relationship between temperature, density and pressure for an isentropic flow of an ideal gas.
From (3) the relationship between pressure and temperature can be concluded:
p / ρ κ = constant (4)
Density can be expressed:
ρ = 1 / v (5)
v = specific volume (m 3 /kg)
Using (5) in combination with (4) transforms to a common expression:
p v κ = constant (6)
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