  A compressible, viscous and heat conducting fluid is confined between two
parallel plates maintained at a constant temperature and subject to a strong
stratification due to the gravitational force. We consider the asymptotic
limit, where the Mach number and the Froude number are of the same order
proportional to a small parameter. We show the limit problem can be identified
with Majda's model of layered ``stack-of-pancake'' flow.
