| Summary: | 碩士 === 國立中央大學 === 機械工程研究所 === 81 === Linear stability has been employed to investigate a basic state
of thermocapillary convection occurring in the annular bridge
of liquid. The annular slot considered here with two different
situations, one with solid inner surface, namely, solid-inner
model and the other with the free-surface at inner wall, the
tube-inner model. As the ratio of the inner radius to outer
radius approaches 0, it corresponds to the half-zone model and
the ratio approaches 1, that simulates the cavity model. The
critical Mac corresponding to a wide range of the aspect ratio
is explored along with its flow configurations, temperature
distribuion, and the temperature and velocity profiles at the
outer free surface. The steady, axisymmetric basic state is
solved numerically using a finte difference method. A mixed
finited difference-Spectral method combining the advantages of
both methods is used to reduce the linear disturbance equations
to an eigenvalue problem. The critical Marangoni numbers for
axis ymmetric disturbances are predicted for small Prandtl
numbers and various radial ratios.
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