Temperature fluctuations of discrete particles in a homogeneous turbulent flow: a Lagrangian model

Within the frame of Lagrangian approaches for the prediction of heat transf er in dispersed two-phase flows. a new dispersion model is proposed which i nvolves correlated stochastic processes to predict the velocity and tempera ture of a discrete particle along its path in terms of the instantaneous ve locity and temperature of the surrounding fluid element. The dispersion pro blem is carefully addressed in taking into account the anisotropy of the fl ow and the turbulent heat flux resulting from velocity-temperature correlat ions. The model is used to simulate the behavior of particles suspended in a homogeneous turbulent shear flow. The numerically predicted correlations between the fluctuating quantities are in perfect agreement with the result s of an analytical study by Zaichik (Phys. Fluids 11 (1999) 1521-1534). A s upplementary investigation of the associated effects of non-linear drag and heat transfer is then proposed. (C) 2001 Elsevier Science Inc. All rights reserved.