Marangoni convection in a half-zone model, a simplification of the floating
zone model, is steady and axisymmetric for Marangoni number Ma < Ma(c), bu
t the azimuthal flow after instability (Ma > Ma(c)) breaks the axial-symmet
ry, and m-fold symmetry of the flow pattern is observed. The symmetry numbe
r m (azimuthal wave number) depends strongly on the aspect ratio, As (As =
height/radius), of the half-zone. Based on the results of numerical simulat
ion, the nature of the correlation between rn and As is investigated (C) 20
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