Conditional statistics for passive-scalar mixing in a confined rectangular turbulent jet

Date
2007-01-01
Authors
Feng, H.
Olsen, Michael
Fox, Rodney
Fox, Rodney
Hill, James
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Fox, Rodney
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Chemical and Biological Engineering
Abstract

Experimental results for the conditional statistics, such as the velocity conditioned on a conserved scalar and the scalar conditioned on velocity, in a confined liquid-phase rectangular jet are presented and analyzed for a data set collected using simultaneous particle image velocimetry and planar laser-induced fluorescence. The joint velocity-scalar probability density function (PDF) is not joint Gaussian in this flow, as the PDF of the conserved scalar is accurately described by a beta-PDF. The conditional mean velocity is found to agree with a linear model when the scalar is close to its local mean value. A gradient PDF model is found to give poor predictions for the streamwise conditional velocity. However, the improved gradient PDF model predicts both the streamwise and transverse conditional velocities well. A linear model for the scalar fluctuation conditioned on velocity is also tested against the experimental data, showing that this model only obtains good approximations when the joint velocity-scalar PDF approaches a joint Gaussian at farther downstream locations in this flow.

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This article is from Physics of Fluids 19 (2007): 055104-1 - 055104-17, doi: 10.1063/1.2718580. Posted with permission.

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