A rising curtain of bubbles entrains and lifts deep water — the engine of diffused destratification and oxygenation. These are the documented plume models, from Fritz, Meredith & Middleton to Wüest, Brooks & Imboden, that predict how far a plume rises, how much water it carries and how much oxygen it transfers.
Following Morton, Taylor & Turner (1956), plume models assume entrainment velocity proportional to the local rise velocity (the entrainment coefficient α), giving the integral equations for plume momentum, buoyancy and volume flux.
Bubbles rise relative to the entrained water (slip velocity); in a stratified lake the plume can detach and intrude at a neutral-buoyancy level, a key feature these models capture.
In a density gradient the plume loses buoyancy and peels off, so airflow must be tuned to lift water to the surface (destratification) or to a target depth (oxygenation).
Fritz, Meredith & Middleton (1980) developed an early integral bubble-plume model for hypolimnetic aeration, relating airflow, depth and entrainment to the induced water flow. McDougall (1978) introduced the double-plume (inner bubble core plus outer descending annulus) needed in strong stratification. Asaeda & Imberger (1993) classified plume behaviour in stratified reservoirs by a non-dimensional airflow parameter. Schladow (1992, 1993) turned these into a destratification design method linking airflow rate per diffuser to the destratification time. Wüest, Brooks & Imboden (1992) extended the plume model to bubble–water gas exchange, predicting oxygen transfer and nitrogen stripping along the rise. These integral models remain the documented basis for diffuser sizing, now routinely verified by CFD.
The models give the air discharge needed per diffuser line to achieve the target induced flow or rise height for the lake depth.
Diffuser spacing is set so adjacent plumes neither merge prematurely nor leave unmixed zones.
Reynolds & Bauhm verifies the integral-model design with CFD for the actual bathymetry and stratification.
Reynolds & Bauhm sizes destratification and oxygenation systems using these documented models, validated by CFD against your bathymetry and water-quality targets.
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