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Annual Reviews of Heat Transfer

ISSN 1049-0787

Individual price:

$175.00 (Must be sent to your home address)

You can order single issue or individual article. To purchase a single issue or an individual article as well as to view tables of contents and abstracts click on issue number.

Institutional price:

$349.00

Volumes per year:

various

Year 1999

288 pages

Volume price - $141.00

A REVIEW OF TURBULENT HEAT TRANSFER MODELING

Ronald M. C. So
Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Horn, Kowloon, Hong Kong

C. G. Speziale
Department of Aerospace and Mechanical Engineering, Boston University, Boston, MA 02215

ABSTRACT

Incompressible heat transfer modeling is usually carried out by invoking the Reynolds analogy. This is possible because the mean temperature equations are decoupled from the mean velocity equations. As a result, past heat-flux models are mere extensions of velocity field models with the assumption that turbulent heat and momentum transfer are similar processes. However, the assumption is not applicable in the case of flows with buoyancy effects. With the advent of turbulence modeling, the Reynolds analogy is relaxed and heat transfer modeling is carried out by proposing appropriate models to close the thermal field equations both with and without buoyant terms. As the demands on accuracy become more important for heat transfer calculations, near-wall models have been introduced to replace wall functions in the velocity field models. Similar approaches have also been used to treat the temperature field. The present chapter discusses the developments, to date, of incompressible two-equation and Reynolds-heat-flux models developed for the thermal field. Its focus is on high Reynolds number modeling, near-wall effects, buoyancy effects where the Boussinesq approximation is valid, and the effects of velocity field models on heat transfer calculations.