The influence of convective heating on baroclinic instability in the presen
ce of surface sensible heat and moisture fluxes is investigated. Following
previous numerical work, a two-dimensional continuous model on an f plane i
ncorporates diabatic heating effects due to cumulus convection and surface
sensible heat flux using parameterizations based on a wave-induced unstable
boundary layer and associated moist convective destabilization. The temper
ature-damping effect of surface sensible heat flux is assumed to decrease e
xponentially with height, and the vertical distribution of convective heati
ng uses a prescribed profile. The atmosphere is assumed to overlie an ocean
ic surface. In this configuration, convective heating occurs in the wave's
cord sector.
General forms of the dispersion relation and eigenfunction are derived anal
ytically. Results show that the most unstable wave is modified by the effec
t of convective latent heating. With weak convection, the wave's structure
does not change much, while the wave's energy generation is hampered by the
negative contribution of convection. In the presence of moderate convectiv
e heating, although the wave's energy generation is decreased by convection
, the wave adjusts its structure to minimize the negative effect of convect
ion and retain growth. In the region with strong convective heating, convec
tive heating significantly changes the wave's temperature structure. Above
and below the strong heating region, the wave structure still retains some
features of the Eady mode. The results have bearing on how the structure of
oceanic storms may be altered by convection.