Probability Density Function of Scalar Length Scales in Turbulent Flow
Andrei Chorny *
A. V. Luikov Heat and Mass Transfer Institute of NAS of Belarus, 15, P. Brovka Street, Minsk, 220072, Republic of Belarus
*Author to whom correspondence should be addressed.
Abstract
In this Brief Communication scalar length-scale and time-scale distributions are proposed to determine by considering the statistics of the scalar field and its gradient. For this purpose, a relationship between the scalar length-scale probability density function and the joint probability density function for the scalar field and its gradient in the form of the integral relation is established.
Keywords: Turbulent flow, scalar, dissipation rate, length scale, probability density function