J. Canto et Ac. Raga, THE STEADY STRUCTURE OF A JET CLOUD INTERACTION .1. THE CASE OF A PLANE-PARALLEL STRATIFICATION/, Monthly Notices of the Royal Astronomical Society, 280(2), 1996, pp. 559-566
The interaction between a jet and a stratified cloud (of characteristi
c size much larger than the jet radius) leads to a final configuration
in which the jet has bored a hole through the cloud. This interaction
results in a change of the direction, velocity, density and diameter
of the jet beam. A simple model, based on Bernoulli's theorem, can be
integrated analytically for the case of a plane-parallel, exponential
cloud pressure stratification. This model shows that a substantial def
lection of the jet beam can be obtained for the adiabatic case (releva
nt for extragalactic jets), with the jet eventually emerging upwards f
rom the stratified cloud with characteristics (e.g. velocity, density,
temperature and diameter) which are basically identical to the ones o
f the incident jet beam. However, for the radiative case [relevant for
Herbig-Haro (HH) jets], a smaller deflection is obtained, with the je
t beam eventually becoming almost parallel to the isobars of the plane
-parallel cloud stratification. We also find that while a low Mach num
ber jet (with M(0) similar to 1) changes direction over a distance of
a few environmental pressure scaleheights, a high Mach number (M(0) si
milar to 10) jet is deflected only over distances of many pressure sca
leheights. Because of this, high Mach number jets will go through stra
tified clouds with depths of only a few pressure scaleheights without
an appreciable change of direction. The analytic solutions are finally
compared with steady 'slab jet' adiabatic and radiative numerical sim
ulations, showing a remarkably good agreement between the analytic and
numerical results.