Transition to turbulence in mixed convection in a cavity with a localized heat source

E. Papanicolaou, Y. Jaluria

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A numerical simulation of the turbulent transport from an isolated heat source in a square cavity with side openings is presented in this work. The openings allow an externally induced air stream at ambient temperature to flow through the cavity and thus, mixed convection arises. Results for the turbulent regime are obtained, by employing a suitable form of the k-ε turbulence model. A stream function-vorticity mathematical formulation is used, along with the kinetic energy and dissipation rate equations and an expression for the eddy viscosity. A time-marching scheme is employed, using the ADI method. The values of the Reynolds number Re, associated with the external flow, and the Grashof number Gr, based on the heat flux from the source, for which turbulent flow sets in are sought. Two typical values of the Reynolds number are chosen, Re = 1000 and 2000 and turbulent results are obtained in the range Gr = 5×107-5×108. For both values of Re, the average Nusselt number over the surface of the source is found to vary with Gr in a fashion consistent with previous numerical and experimental results for closed cavities.

Original languageEnglish (US)
Title of host publicationFundamentals of Mixed Convection
PublisherPubl by ASME
Pages55-64
Number of pages10
ISBN (Print)0791810534
StatePublished - 1992
Externally publishedYes
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume213
ISSN (Print)0272-5673

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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