= Merger of two equal pure plumes
{title2=$Q_c=2Q,\quad M_c=2M,\quad F_c=2F,\quad\Gamma_c=\sqrt2$}
If two equal <pure plumes> merge while keeping their common velocity and <reduced gravity>, conservation of cross-sectional area gives radius $\sqrt2$ times the individual radius. All three integral fluxes double. The <plume balance parameter> increases by $2^3/2^{5/2}=\sqrt2$, so the immediate combined plume is a <lazy plume>. Similarity attraction may restore pure balance farther downstream, but instantaneous pure balance does not follow from adding two <pure plumes>.
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