Linear stability analysis was carried out for a hydrocarbon liquid fuel jet
(n-butane) that was issued into a stagnant gas (nitrogen) whose pressure a
nd temperature exceeded the thermal critical values of the fuel. Within thi
s high pressure/high temperature environment, the liquid fuel jet undergoes
sub-to-supercritical transition due to heat addition, changes the method o
f mass transfer at the gas-liquid interface, and loses surface tension. As
a result, we obtained two types of flow instabilities : one is the Rayleigh
type and the other is the Taylor type. We numerically calculated the maxim
um amplification rate of the Rayleigh-type instability, which depends on th
e square root of the Weber number and the thermodynamic phenomena, such as
phase equilibrium and evaporation. Calculation results showed that fluid dy
namic and thermal processes are highly coupled; therefore, the fuel jet ins
tabilities in a Supercritical environment are strongly affected by thermody
namic conditions and physical properties.