VORTEX FLOWS
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 Thermal Plumes
 

Thermal plumes or convection from a localized heat source, where hot fluid penetrates into a colder region above are encountered in nature and in many engineering applications. Particular emphasis on the shape and time dynamics of thermal plumes has been devoted indicating that it is a problem of pattern formation. The fluid near the heat source receives heat increasing its buoyancy, allowing the development of a primary fluid pattern which evolves finally to a well known thermal plume. As the plume rises losses its connection with the source which produced it. The evolution of the cap of the plume at the first stages of its formation reveals certain properties of its intrinsic nonlinear character which are studied here through standard numerical methods and from experiments.
The physical situation corresponds to a small heat source of length b located at the bottom of a slender cavity of aspect ratio H/W= 5. The heat source of size b (W=10b) has an uniform and constant temperature Th while the side walls and the top wall are kept at uniform temperature To. The rest of the bottom wall is thermally insulated. Velocity vanishes on rigid walls. The set of equations is the same in thermal plumes or Rayleigh Benard convection:
   
  Universidad de Chile, Facultad de Ciencas Físicas y Matemáticas