University of Illinois Urbana-Champaign

Analysis and modeling for turbulent convective plume

Riahi, Daniel N.

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https://hdl.handle.net/2142/112580

Description

Title
Analysis and modeling for turbulent convective plume
Author(s)
Riahi, Daniel N.
Issue Date
1998-01
Keyword(s)
Turbulent Convective Plume
Abstract
Asymptotic and scaling analyses are applied to develop a simple model for a turbulent convective plume at high Rayleigh number R in a high Prandtl number fluid layer whose lower boundary surface maintains steady local buoyant sources. The convective plume is assumed to be axisymmetric and conical and to have a radius b that is small compared with the depth of the layer. Under statistically steady conditions, to the leading order terms, the depenrlence of the mean components of axial velocity, radial velocity, pressure and temperature of the plume, as well as the vertical volume flux in the plume, on R and b is determined. The main results are in satisfactory agreement with available experimental observations. The results are equally applicable to the case where any finite number of such plumes are present under similar conditions, provided no interactions take place between the individual plumes.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 875
  • 1998-6001
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112580
Copyright and License Information
Copyright 1998 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.