The absolute and convective instability of a jet of an inviscid compressible fluid emanating into another inviscid compressible fluid is investigated. It is shown that the compressibility of the ambient fluid, as well as the surface tension, tends to promote absolute instability. The absolute instability can be reduced to the convective one by reducing the surface tension and/or increasing the compressibility of the jet fluid, depending on the flow parameters.

1.
Lord
Rayleigh
, “
On the instability of jets
,”
Proc. London Math. Soc.
10
,
4
(
1879
).
2.
J. B.
Keller
,
S. I.
Rubinow
, and
Y. O.
Tu
, “
Spatial instability of a jet
,”
Phys. Fluids
16
,
2052
(
1973
).
3.
S. J.
Leib
and
M. E.
Goldstein
, “
The generation of capillary instabilities of a liquid jet
,”
J. Fluid Mech.
168
,
479
(
1986
).
4.
R. J. Briggs, Electron Stream Interaction with Plasmas (MIT Press, Cambridge, MA, 1964).
5.
A. Bers, Handbook of Plasma Physics (North-Holland, Amsterdam, 1983), Vol. 1, pp. 452–516.
6.
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961).
7.
S. J.
Leib
and
M. E.
Goldstein
, “
Convective and absolute instability of a viscous liquid jet
,”
Phys. Fluids
29
,
952
(
1986
).
8.
S. P.
Lin
and
Z. W.
Lian
, “
Absolute instability of a liquid jet in a gas
,”
Phys. Fluids A
1
,
490
(
1989
).
9.
C. K. W.
Tam
and
Q.
Hu
, “
On the three families of instability waves of high speed jets
,”
J. Fluid Mech.
201
,
447
(
1989
).
10.
Z. W.
Lian
and
S. P.
Lin
, “
Breakup of a liquid jet in a swirling gas
,”
Phys. Fluids A
2
,
2134
(
1990
).
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