RESEARCH PAPERS: Forced Convection

A Stochastic Lagrangian Model for Near-Wall Turbulent Heat Transfer

[+] Author and Article Information
S. Mazumder, M. F. Modest

Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

J. Heat Transfer 119(1), 46-52 (Feb 01, 1997) (7 pages) doi:10.1115/1.2824099 History: Received March 15, 1996; Revised September 05, 1996; Online December 05, 2007


The modeling of near-wall turbulent heat transfer necessitates appropriate description of near-wall effects, namely, molecular transport, production of turbulence by inhomogeneities, and dissipation of the temperature fluctuations by viscosity. A stochastic Lagrangian model, based on the velocity-composition joint probability density function (PDF) method, has been proposed. The proposed model, when compared with experimental and direct numerical simulation (DNS) data, overdamps the dissipation of the temperature fluctuations in the inertial sublayer, but reaches the correct limit at the wall. The performance of the model has also been compared to the standard k-ε and the algebraic Reynolds stress model (ARSM) for both constant heat flux and constant temperature boundary conditions at large Reynolds numbers. The Lagrangian nature of the model helps eliminate numerical diffusion completely.

Copyright © 1997 by The American Society of Mechanical Engineers
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