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The equation of state gives a relationship between the pressure,
density and temperature. It can take several different forms depending
of the situation being modelled. For example, when considering a
uniform incompressible fluid it is simply

(2.10) 
For a perfect gas, it is

(2.11) 
where
is the gas
constant, so that the pressure proportional to both the density and
temperature. The temperature must then be given by an energy
equation (or specified as a constant).
Prof. Alan Hood
20001106