In this study the individual components of the horizontal moist wind are derived and expressed as a function of the horizontal pressure gradients. The drag on the large-scale horizontal wind by mesoscale diabatic activity is shown to be consistent with homogeneous Lagrangian solutions that asymptotically approach a lognormal distribution. The kinematic moisture flux components are also shown to contain homogeneous solutions that behave asymptotically as a lognormal distribution. These findings

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... re considered relevant to the large number of observed occurrences of the lognormal distribution in cloud and rainfall statistics.