Abstract
A collocation technique is applied to the equations governing
the linear stability of the anabatic layer on an evenly heated
vertical wall in a stratified fluid. Marginal stability curves and
critical heat fluxes are obtained for Prandtl numbers from 0 to
1000. As in other cases of vertical natural convection, two
kinds of instability are observed, depending on the Prandtl num-
ber: at lower Prandtl numbers, the modes are short slow waves
and the critical parameter is roughly proportional to the local
Reynolds number, whereas at higher Prandtl numbers, the criti-
cal Reynolds number decreases rapidly and the waves are longer
and faster.
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