The transient convection in the float zone caused by axial g-jitters i
s studied. A numerical code based on the finite difference method is d
eveloped to solve time-dependent buoyancy and surface tension driven c
onvections in the float zone with non-deformable surface. First, the e
ffects of g-jitters on the float zone crystal growth of bismuth silica
te (BSO) in microgravity environment are investigated. The ranges of f
requency and amplitude which may cause a vigorous transient convection
in the BSO float zone are predicted. Second, the numerical analysis i
s extended to a parametric study to investigate more general character
istics of transient convection induced by the g-jitter. The examined p
roblem is defined and is characterized with a set of parameters of the
Marangoni number, Prandtl number, amplitude and frequency of the g-ji
tter. The responses of both temperature and velocity to the g-jitters
are examined for various combinations of these parameters.