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

Journal Article · Mon Aug 01 04:00:00 EDT 1988 · 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

Nagano, Y; Kim, C ^[1]

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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

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
DISSIPATION FACTOR
ENERGY TRANSFER
FLOW MODELS
FLUID FLOW
FLUIDS
HEAT FLUX
HEAT TRANSFER
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
PIPES
PLATES
PRANDTL NUMBER
THERMAL DIFFUSIVITY
THERMODYNAMIC PROPERTIES
TURBULENCE
TURBULENT FLOW