  Low- and intermediate-mass stars go through a period of intense mass-loss at
the end of their lives in a phase known as the asymptotic giant branch (AGB).
During the AGB a significant fraction of their initial mass is expelled in a
stellar wind. This process controls the final stages of their evolution and
contributes to the chemical evolution of galaxies. However, the wind-driving
mechanism of AGB stars is not yet well understood, especially so for
oxygen-rich sources. Characterizing both the present-day mass-loss and wind
structure and the evolution of the mass-loss rate of such stars is paramount to
advancing our understanding of this processes. We modelled the dust envelope of
W Hya using an advanced radiative transfer code. The dust model was analysed in
the light of a previously calculated gas-phase wind model and compared to
measurements available in the literature, such as infrared spectra, infrared
images, and optical scattered light fractions. We find that the dust spectrum
of W Hya can partly be explained by a gravitationally bound dust shell that
probably is responsible for most of the amorphous Al$_2$O$_3$ emission. The
composition of the large ($\sim$\,0.3\,$\mu$m) grains needed to explain the
scattered light cannot be constrained, but probably is dominated by silicates.
Silicate emission in the thermal infrared was found to originate from beyond 40
AU from the star and we find that they need to have substantial near-infrared
opacities to be visible at such large distances. The increase in near-infrared
opacity of the dust at these distances roughly coincides with a sudden increase
in expansion velocity as deduced from the gas-phase CO lines. Finally, the
recent mass loss of W Hya is confirmed to be highly variable and we identify a
strong peak in the mass-loss rate that occurred about 3500 years ago and lasted
for a few hundred years.
