where, as before, (z) is defined by Eq. 8-8 and M byEq. 8-6.

We can apply the ideas discussed in the previous section to a compressible fluid if, as discussed in Chapter 4, we think in terms of the distribution of potential temperature, rather than density, since the former is conserved under adiabatic displacement.

Consider Fig. 8.11, in which the distribution of 0 in the atmosphere, 0 increasing upward and equatorward as in Fig. 5.8, is schematically shown. Again, we suppose

FIGURE 8.11. Air parcels 1 and 2 are exchanged along paths marked A and B, conserving potential temperature 0. The continuous lines are observed 0 surfaces (see Fig. 5.8). The tilted dotted line is parallel to the local 0.

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