English

Natural versus forced convection in laminar starting plumes

Fluid Dynamics 2015-05-13 v3 Space Physics

Abstract

A starting plume or jet has a well-defined, evolving head that is driven through the surrounding quiescent fluid by a localized flux of either buoyancy or momentum, or both. We studied the scaling and morphology of starting plumes produced by a constant flux of buoyant fluid from a small, submerged outlet. The plumes were laminar and spanned a wide range of plume Richardson numbers Ri. Ri is the dimensionless ratio of the buoyancy forces to inertial effects, and is thus our measurements crossed over the transition between buoyancy-driven plumes and momentum-driven jets. We found that the ascent velocity of the plume, nondimensionalized by Ri, exhibits a power law relationship with Re, the Reynolds number of the injected fluid in the outlet pipe. We also found that as the threshold between buoyancy-driven and momentum-driven flow was crossed, two distinct types of plume head mophologies existed: confined heads, produced in the Ri > 1 regime, and dispersed heads, which are found in the Ri < 1 regime. Head dispersal is caused by a breakdown of overturning motion in the head, and a local Kelvin-Helmholtz instability on the exterior of the plume.

Keywords

Cite

@article{arxiv.0905.0494,
  title  = {Natural versus forced convection in laminar starting plumes},
  author = {Michael C. Rogers and Stephen W. Morris},
  journal= {arXiv preprint arXiv:0905.0494},
  year   = {2015}
}

Comments

8 pages, 8 figures, accepted for publication in Physics of Fluids (final version with corrections)