Analysis of Turbulent Scalar Flux Models for a Discrete Hole Film Cooling Flow
Author(s) -
Julia Ling,
Kevin Ryan,
Julien Bodart,
John K. Eaton
Publication year - 2015
Publication title -
journal of turbomachinery
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.972
H-Index - 112
eISSN - 1528-8900
pISSN - 0889-504X
DOI - 10.1115/1.4031698
Subject(s) - turbulent prandtl number , turbulence , prandtl number , reynolds averaged navier–stokes equations , mechanics , scalar (mathematics) , reynolds number , turbulent diffusion , physics , reynolds stress , turbulence modeling , reynolds stress equation model , statistical physics , thermodynamics , classical mechanics , mathematics , k epsilon turbulence model , heat transfer , geometry , nusselt number , k omega turbulence model
Algebraic closures for the turbulent scalar fluxes were evaluated for a discrete hole film cooling geometry using the results from a high-fidelity Large Eddy Simulation (LES). Several models for the turbulent scalar fluxes exist, including the widely used Gradient Diffusion Hypothesis, the Generalized Gradient Diffusion Hypothesis, and the Higher Order Generalized Gradient Diffusion Hypothesis. By analyzing the results from the LES, it was possible to isolate the error due to these turbulent mixing models. Distributions of the turbulent diffusivity, turbulent viscosity, and turbulent Prandtl number were extracted from the LES results. It was shown that the turbulent Prandtl number varies significantly spatially, undermining the applicability of the Reynolds analogy for this flow. The LES velocity field and Reynolds stresses were fed into a RANS solver to calculate the fluid temperature distribution. This analysis revealed in which regions of the flow various modeling assumptions were invalid and what effect those assumptions had on the predicted temperature distribution
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom