  In previous studies, we examined turbulence-flame interactions in
carbon-burning thermonuclear flames in Type Ia supernovae. In this study, we
consider turbulence-flame interactions in the trailing oxygen flames. The two
aims of the paper are to examine the response of the inductive oxygen flame to
intense levels of turbulence, and to explore the possibility of transition to
detonation in the oxygen flame. Scaling arguments analogous to the carbon
flames are presented and then compared against three-dimensional simulations
for a range of Damk\"ohler numbers ($\Da_{16}$) at a fixed Karlovitz number.
The simulations suggest that turbulence does not significantly affect the
oxygen flame when $\Da_{16}<1$, and the flame burns inductively some distance
behind the carbon flame. However, for $\Da_{16}>1$, turbulence enhances heat
transfer and drives the propagation of a flame that is {\em narrower} than the
corresponding inductive flame would be. Furthermore, burning under these
conditions appears to occur as part of a combined carbon-oxygen turbulent flame
with complex compound structure. The simulations do not appear to support the
possibility of a transition to detonation in the oxygen flame, but do not
preclude it either.
