Development of a Turbulent Near-Wall Temperature Model and Its Application to Channel Flow

Development of a Turbulent Near-Wall Temperature Model and Its Application to Channel Flow

TitleDevelopment of a Turbulent Near-Wall Temperature Model and Its Application to Channel Flow
Publication TypeJournal Article
Year of Publication1986
AuthorsHashem Akbari, Atila Mertol, Ashok J Gadgil, Ron C Kammerud, Fred S Bauman
JournalWärme- und Stoffübertragung
Volume20
Issue3
Pagination189 - 201
Date Published09/1986
ISSN0042-9929
KeywordsConvection, Fluid Flow, Heat Transfer, Heat Transfer Coefficient, Reynolds Number
Abstract

A numerical study of fluid flow and heat transfer in a two-dimensional channel under fully developed turbulent conditions is reported. A computer program which is capable of treating both forced and natural convection problems under turbulent conditions has been developed. The code uses the high-Reynolds-number form of the two equation turbulent model(k-ɛ) in which a turbulent kinetic energy near-wall model is incorporated in order to accurately represent the behavior of the flow near the wall, particularly in the viscous sublayer where the turbulent Reynolds number is small. A near-wall temperature model has been developed and incorporated into the energy equation to allow accurate prediction of the temperature distribution near the wall and, therefore, accurate calculation of heat transfer coefficients.

The sensitivity of the prediction of flow and heat transfer to variations in the coefficients used in the turbulence model is investigated. The predictions of the model are compared to available experimental and theoretical results; good agreement is obtained. The inclusion of the near-wall temperature model has further improved the predictions of the temperature profile and heat transfer coefficient. The results indicate that the turbulent kinetic energy Prandtl number should be a function of Reynolds number.

DOI10.1007/BF01303450
Short TitleWärme- und Stoffübertragung
Refereed DesignationRefereed