Analytical and numerical modeling indicates that melting of xenoliths
in magmas may be controlled by viscous flow. The xenolith melt will be
removed immediately by the host magma if flow is present and new xeno
lith melt can be produced. This melting mechanism is referred to as ab
lation. Ablation dominates the melting process in earlier experiments
in the system diopside. We propose that complex phases (solid solution
s) undergo ablation when the heat flow into a xenolith is high. Ablati
on is found to be controlled by a nearly linear rate law after a short
heating up period. The average computed ablation rates coincide with
earlier experiments of diopside. We predict steady state ablation rate
s at 20 K superheating for beta-cristobalite (3.8 X 10(-4) m/s), high-
sanidine (1.6 x 10(-4) m/s), calcite (4.9 x 10(-5) m/s), clinoenstatii
e (4.0 x 10(-5) m/s), and forsterite (3.2 x 10(-5) m/s). A cold xenoli
th might cool down the host liquid next to it below the glass transiti
on temperature and to accrete a glassy crust. Such chilled selvage acc
retion will modify the total assimilation rates of granulites by less
than 10% for xenolith radii <20 cm. Ablation appears to be more effect
ive as compared to diffusion controlled assimilation. This could expla
in the worldwide predominance of mafic and ultramafic (mantle and lowe
r crust) compared to felsic lower crustal xenoliths.