Development of a Cloud Convection Model for Jupiter's Atmosphere
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The dependences of mean specific heat on temperature and composition
are not considered in our model, since we adopt potential temperature
as one of the prognostic variables.
The
adoption of the value of H_{2} specific heat at the standard
temperature (*T* = 298.15 K) results in an error of 20 % in
adiabatic lapse rate near the NH_{3} condensation
level. However, for the purpose of
making a qualitative examination of the structure
of the cloud convection layer in Jupiter's atmosphere,
the effect of the ignored dependences
may be regarded as being insignificant if the
resulting error of static stability *N*^{2} in the
cloud layer is small.

*N*^{2} is evaluated in the same way as
Sugiyama *et al.* (2006)
^{[7]}
once the vertical profiles
of temperature and mean mole weight are known.

where *T* is temperature,
*g* is the acceleration due to gravity,
*M* is mean molecular weight,
and *c _{p}* is mean specific heat at constant pressure.

Fig. G.1 shows the vertical profiles of *N*^{2}
estimated by assuming that *dT/dz* and *dM/dz*
are those of the pseudo moist adiabatic profiles. The solid line in
Fig. G.1 is the results of calculations
using the thermodynamic subroutine in the present cloud
convection model, and the broken line is the result of
Sugiyama *et al.* (2006)
^{[7]}
which takes into account the
dependences of mean specific heat on temperature and composition.

Fig. G.1 shows that
the altitude of stable layers and
the peak values of *N*^{2}
are nearly the same in these two cases.
Therefore, for the present purpose, it may be concluded that the
effect of the ignored dependences are small.

Development of a Numerical Model for Jupiter's Atmosphere
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