Nondissociative, magnetohydrodynamic, C-type shock waves are expected
to be a prodigious source of far-infrared water emissions in dense int
erstellar regions. We have constructed a model to calculate the far-in
frared H2O line spectra that emerge from such shocks. Using the best e
stimates currently available for the radiative cooling rate and the de
gree of ion-neutral coupling within the shocked gas, we modeled the te
mperature structure of MHD shocks using standard methods in which the
charged and neutral particles are treated separately as two weakly cou
pled, interpenetrating fluids. Then we solved the equations of statist
ical equilibrium to find the populations of the lowest 179 and 170 rot
ational states of ortho- and para-H2O. We have completed an extensive
parameter study to determine the emergent H2O line luminosities as a f
unction of preshock density in the range n(H-2) = 10(4)-10(6.5) cm(-3)
and shock velocity in the range upsilon(s) = 5-40 km s(-1). We find t
hat numerous rotational transitions of water are potentially observabl
e using the Infrared Space Observatory and the Submillimeter Wave Astr
onomy Satellite and may be used as diagnostics of the shocked gas. We
have also computed the rotational and re-vibrational emissions expecte
d from H-2, CO, and OH, and we discuss how complementary observations
of such emissions may be used to further constrain the shock condition
s. In common with previous studies, we come close to matching the obse
rved H-2 and high-J CO emissions from the Orion-KL star-forming region
on the basis of a single shock model. We present our predictions for
the strengths of H2O line emission from the Orion shock, and we show h
ow our results may be scaled to other regions where molecular shocks a
re likely to be present.