Mechanics of jet flows in granular layers. Coalescence of bubbles in constrained flow conditions

Evolution of the inhomogeneous state of a fluidized bed

“…Obviously, we must take it that n~ :) = 2n~ 2), i.e., where B(I) = elY~B(2~, where B is determined in (15). If we disregard the existence of wake zones (i.e., with f ~0, as was also assumed in deriving ( 18)), we obtain from (21) that…”

“…In this case there are horizontal layers of parallelly rising bubbles '~ith equal rights," and pairwise coalescence at some level occurs as a result of the "lateral" merger of adjacent bubbles after these bubbles have grown to such an extent that the regions of closed circulation surrounding them merge [21]. As a result, a new ordered horizontal layer of bubbles forms in which the bubbles simultaneously coalesce at a new and higher level, etc.…”