Distributed moments of a scalar PDF

Partha Sarathi, Roi Gurka, Paul J. Sullivan, Gregory A. Kopp

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The evolution of concentration values in a turbulent flow is quantified by the probability density function (PDF) of concentration or more simply by the expected mass fraction function (EMF). It is convenient to use some lower-order moments to approximate the PDF or EMF. In this paper a particularly simple representation of these moments is explored. Concentration measurements using planar laser induced fluorescence (PLIF) are made over the cross-section of a fluorescent plume emanating from a point source in a grid-turbulence flow in a water tunnel. It is observed that the distributed moments across the plume are determined from a 'local' concentration scale and the mean concentration profile. The moments of the EMF appear to be related to the center-line moments and the EMF to have a simple, self-similar form when scaled with the center-line mean concentration.

Original languageEnglish
Title of host publicationModelling for Environment's Sake
Subtitle of host publicationProceedings of the 5th Biennial Conference of the International Environmental Modelling and Software Society, iEMSs 2010
Pages313-321
Number of pages9
StatePublished - 1 Dec 2010
Event5th Biennial Conference of the International Environmental Modelling and Software Society: Modelling for Environment's Sake, iEMSs 2010 - Ottawa, ON, Canada
Duration: 5 Jul 20108 Jul 2010

Publication series

NameModelling for Environment's Sake: Proceedings of the 5th Biennial Conference of the International Environmental Modelling and Software Society, iEMSs 2010
Volume1

Conference

Conference5th Biennial Conference of the International Environmental Modelling and Software Society: Modelling for Environment's Sake, iEMSs 2010
Country/TerritoryCanada
CityOttawa, ON
Period5/07/108/07/10

Keywords

  • Expected mass fraction
  • Grid turbulence
  • Particle image velocimetry (PIV)
  • Planar laser induced fluorescence (PLIF)
  • Turbulent diffusion

ASJC Scopus subject areas

  • Software
  • Environmental Engineering
  • Modeling and Simulation

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