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A two-equation model for heat transport in wall turbulent shear flows

Journal Article · · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)
DOI:https://doi.org/10.1115/1.3250532· OSTI ID:5465639
;  [1]
  1. Nagoya Inst. of Tech., (Japan)

A new proposal for closing the energy equation is presented at the two-equation level of turbulence modeling. The eddy diffusivity concept is used in modeling. However, just as the eddy viscosity is determined from solutions of the k and {var epsilon} equations, so they eddy diffusivity for heat is given as functions of temperature variance t{sup 2}, and the dissipation rate of temperature fluctuations {var epsilon}{sub t}, together wtih k and {var epsilon}. Thus, the proposed model does not require any questionable assumptions for the turbulent Prandtl number. Modeled forms of the t{sup 2} and {var epsilon} equations are developed to account for the physical effects of molecular Prandtl number and near-wall turbulence. The model is tested by application to a flat-plate boundary layer, the thermal entrance region of a pipe, and the turbulent heat transfer in fluids over a wide range of the Prandtl number. Agreement with the experiment is generally very satisfactory.

OSTI ID:
5465639
Journal Information:
Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 110:3; ISSN 0022-1481; ISSN JHTRA
Country of Publication:
United States
Language:
English