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.
Issue Section:
Forced Convection
Topics:
Modeling,
Turbulence,
Turbulent heat transfer,
Temperature,
Energy dissipation,
Fluctuations (Physics),
Algebra,
Boundary-value problems,
Computer simulation,
Density,
Diffusion (Physics),
Flow (Dynamics),
Forced convection,
Heat flux,
Numerical analysis,
Probability,
Reynolds number,
Stress,
Viscosity
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