Sc. Gulen et al., AN EXPERIMENTAL-STUDY OF REFLECTED LIQUEFACTION SHOCK-WAVES WITH NEAR-CRITICAL DOWNSTREAM STATES IN A TEST FLUID OF LARGE MOLAR HEAT-CAPACITY, Journal of Fluid Mechanics, 277, 1994, pp. 163-196
Near-critical states have been achieved downstream of a liquefaction s
hock wave, which is a shock reflected from the endwall of a shock tube
. Photographs of the shocked test fluid (iso-octane) reveal a rich var
iety of phase-change phenomena. In addition to the existence of two-ph
ase toroidal rings which have been previously reported, two-phase stru
ctures with a striking resemblance to dandelions and orange slices hav
e been frequently observed. A model coupling the flow and nucleation d
ynamics is introduced to study the two-wave system of shock-induced co
ndensation and the liquefaction shock wave in fluids of large molar he
at capacity. In analogy to the one-dimensional Zeldovich-von Neumann-D
oring (ZND) model of detonation waves, the leading part of the liquefa
ction shock wave is a gasdynamic pressure discontinuity (Delta approxi
mate to 0.1 mu m, tau approximate to 1 ns) which supersaturates the te
st fluid, and the phase transition takes place in the condensation rel
axation zone (Delta approximate to 1-10(3) mu m, tau approximate to 0.
1-100 mu s) via dropwise condensation. At weak to moderate shock stren
gths, the average lifetime of the metastable state, tau proportional t
o 1/J, is long such that the reaction zone is spatially decoupled from
the forerunner shock wave, and J is the homogeneous nucleation rate.
With increasing shock strength, a transition in the phase-change mecha
nism from nucleation and growth to spinodal decomposition is anticipat
ed based on statistical mechanical arguments. In particular, within a
complete liquefaction shock the metastable region is entirely bypassed
, and the vapour decomposes inside the unstable region. This mechanism
of unmixing in which nucleation and growth become one continuous proc
ess provides a consistent framework within which the observed irregula
rities can be explained.