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A system model for assessing scalar dissipation measurement accuracy in turbulent flows

Journal Article · · Measurement Science and Technology
 [1];  [2];  [1];  [2]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Combustion Research Facility
  2. Univ. of Texas, Austin, TX (United States). Dept. of Aerospace Engineering and Engineering Mechanics

In this paper, a system model is developed to investigate independent and coupled effects of resolution, noise and data processing algorithms on the accuracy of the scalar gradient and dissipation measurements in turbulent flows. Finite resolution effects are simulated by spectral filtering, noise is modelled as an additive source in the model spectrum and differencing stencils are analysed as digital filters. In the current study, the effective resolution is proposed to be a proper criterion for quantifying the resolution requirement for scalar gradient and dissipation measurement. Both effective resolution and noise-induced apparent dissipation are mainly determined by the system transfer function. The finite resolution results, based upon a model scalar energy spectrum, are shown to agree with non-reacting experimental data. The coupled resolution-noise results show three regions in the mean scalar dissipation rate measurement: noise-dominated region, noise-resolution correlated region and resolution-dominated region. Different noise levels lead to different resolution error curves for the measured mean scalar dissipation rate. Experimental procedures and guidelines to improve the scalar gradient and dissipation experiments are proposed, based on these model study results. Finally, the proposed system approach can also be applied to other derived quantities involving complex transfer functions.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States); Univ. of Texas, Austin, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF) (United States)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1427003
Report Number(s):
SAND--2007--0473J; 524026
Journal Information:
Measurement Science and Technology, Journal Name: Measurement Science and Technology Journal Issue: 5 Vol. 18; ISSN 0957-0233
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (62)

A Family of High Order Finite Difference Schemes with Good Spectral Resolution journal September 1998
Corrections for velocity and temperature derivatives in turbulent flows journal January 1993
On the accuracy of velocity and vorticity measurements with PIV journal April 1995
The influence of probe resolution on the measurement of a passive scalar and its derivatives journal June 2003
Effects of imaging system blur on measurements of flow scalars and scalar gradients journal May 2004
Investigation of scalar measurement error in diffusion and mixing processes journal September 2005
Improvements on the accuracy of derivative estimation from DPIV velocity measurements journal October 2005
Dissipation rate correction methods journal December 2005
Spatial resolution and noise considerations in determining scalar dissipation rate from passive scalar image data journal January 2006
Planar measurements of the full three-dimensional scalar dissipation rate in gas-phase turbulent flows journal November 1999
Spatial-averaging effects in Raman / Rayleigh measurements in a turbulent flame journal December 1990
Measurements of scalar dissipation in the reaction zones of turbulent nonpremixed H2-air flames journal December 1994
Compact finite difference schemes with spectral-like resolution journal November 1992
Some checks of Taylor's hypothesis in a slightly heated turbulent circular jet journal May 1994
Turbulent combustion modeling journal March 2002
Measurements of scalar dissipation in a turbulent piloted methane/air jet flame journal January 2002
Dissipation length scales in turbulent nonpremixed jet flames journal January 2007
Scalar length scales and spatial averaging effects in turbulent piloted methane/air jet flames journal January 2005
Measurements of flame orientation and scalar dissipation in turbulent partially premixed methane flames journal January 2005
High-repetition rate measurements of temperature and thermal dissipation in a non-premixed turbulent jet flame journal January 2005
Quantification of resolution and noise effects on thermal dissipation measurements in turbulent non-premixed jet flames journal January 2007
Turbulent Combustion book January 2010
Turbulent Flows book July 2012
Experimental investigation of density fluctuations in high-speed jets and correlation with generated noise journal January 2002
The structure of fine-scale scalar mixing in gas-phase planar turbulent jets journal July 2003
Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity journal January 1959
Convection of a passive scalar by a quasi-uniform random straining field journal July 1974
Statistics of fine-scale velocity in turbulent plane and circular jets journal June 1982
Similarity of the concentration field of gas-phase turbulent jets journal September 1990
Temperature dissipation in a turbulent round jet journal May 1993
Passive scalar dispersion and mixing in a turbulent jet journal June 1995
Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc [Gt ] 1 journal June 1996
Measurements of scalar power spectra in high Schmidt number turbulent jets journal February 1996
Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 2. Sc ≈1 journal June 1998
Measurements of Scalar Variance, Scalar Dissipation, and Length Scales in Turbulent Piloted Methane/Air Jet Flames journal January 2004
Possible Effects of Small-Scale Intermittency in Turbulent Reacting Flows journal January 2004
A subgrid model for nonlinear functions of a scalar journal December 2001
Conditionally filtered scalar dissipation, scalar diffusion, and velocity in a turbulent jet journal January 2002
Spatial Resolution of a Resistance Wire Temperature Sensor journal January 1971
Further Generalization of Onsager's Cascade Model for Turbulent Spectra journal January 1964
Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers journal January 1965
The estimated scalar dissipation rate in gas‐phase turbulent jets journal September 1991
The dissipation‐range spectrum and the velocity‐derivative skewness in turbulent flows journal May 1991
Measurements of dissipation rate and some other characteristics of turbulent plane and circular jets journal January 1980
Joint statistics between temperature and its dissipation rate components in a round jet journal July 1995
The Structure of Diffusion Flames journal July 1976
Comparison between LES results and experimental data in reacting flows journal January 2006
Measurement of small-scale turbulence structure with hot wires journal November 1968
Spatial resolution of the vorticity meter and other hot-wire arrays journal November 1969
Some considerations on the accuracy and frequency response of some derivative filters applied to particle image velocimetry vector fields journal June 2002
Ten questions concerning the large-eddy simulation of turbulent flows journal January 2004
Fast-convergent iterative scheme for filtering velocity signals and finding Kolmogorov scales journal June 2005
The expectation-maximization algorithm journal January 1996
Quantitative flow visualization via fully-resolved four-dimensional imaging book September 2000
The Phenomenology of Small-Scale Turbulence journal January 1997
DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research journal January 1998
Large-Eddy Simulation of Turbulent Combustion journal January 2006
Two-point, high-repetition-rate Rayleigh thermometry in flames: techniques to correct for apparent dissipation induced by noise journal January 2005
Nonlinear diffusion filtering of images obtained by planar laser-induced fluorescence spectroscopy journal January 2000
Toward Validation of Large Eddy Simulation for Turbulent Combustion journal March 2006
Optimized compact finite difference schemes with maximum resolution journal May 1996
A First Course in Turbulence January 1972

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Turbulent mixing measurements in the Richtmyer-Meshkov instability journal July 2012
Reynolds number influence on statistical behaviors of turbulence in a circular free jet journal July 2013
Scalar dissipation rate statistics in turbulent swirling jets journal July 2016
Turbulent transport in a swirling jet with vortex core breakdown. PIV/PLIF-measurement and numerical simulation journal May 2019
Reconciling turbulent burning velocity with flame surface area in small-scale turbulence text January 2019

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