where
is the velocity vector. This equation implies
that
is normal to the equipotential lines and is
directed from high to low potential.
a If there is also liquid water in the air this is modified as
where
is the liquid water mixing ratio (in grams of
liquid water per gram of dry air).
The virtual temperature is thus defined because it allows the
ideal gas law to be used for situations
in which the air is not dry, i.e. moist air of temperature T behaves
identically to dry air of temperature
.