Article Number 200701, January 2007

Scalar variance and the Beta Probability Density Function

Eduardo A. Brizuela

Department of Mechanical Engineering
Faculty of Engineering
University of La Plata
Argentina

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ABSTRACT:

This work applies especially to the modelling of turbulent diffusion flames when solving transport equations for a conserved scalar and its variance, and when adopting the Beta PDF as the assumed PDF, which is common practice. The solutions to the transport equations are limited to physically or mathematically valid ranges. However, setting limits to the temporary results during the iterative solution of the numerical model may lead to numerical difficulties, and it would be desirable to avoid them. This paper shows that in the present case there is no need for an upper limit to the variance equation.

Keywords:

turbulent diffusion flames, assumed Beta PDF, limits to moments, probability density function.

^* Corresponding Author:

Eduardo A Brizuela
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Faculty of Engineering
University of La Plata
Argentina

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