Optically-thick envelopes may form following the tidal disruption of a
star by a massive black hole. Such envelopes would reprocess hard rad
iation from accretion close to the black hole into the UV and optical
bands producing AGN-luminosity flares with duration similar to 1 year.
We show that due to relativistic effects, the envelopes are convectiv
e. If convection is efficient, then the structure of the envelopes is
similar to that described in previous work; however, the photospheric
radius is shown to be very sensitive to the luminosity at the envelope
base, suggesting that either the envelope collapses or the envelope e
xpands to a maximum radius at which point a wind may set in. For an en
velope without winds, we find a maximum photospheric radius of similar
to 10(16) cm (i.e. minimum effective temperature similar to 6, 000 K)
. The evolution of the envelopes is described based on simple energy a
rguments.