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

Abstract

Within the frame of Lagrangian approaches for the prediction of heat transfer in dispersed two-phase flows, a new dispersion model is proposed which involves correlated stochastic processes to predict the velocity and temperature of a discrete particle along its path in terms of the instantaneous velocity and temperature of the surrounding fluid element. The dispersion problem is carefully addressed in taking into account the anisotropy of the flow and the turbulent heat flux resulting from velocity–temperature correlations. 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 results of an analytical study by Zaichik (Phys. Fluids 11 (1999) 1521–1534). A supplementary investigation of the associated effects of non-linear drag and heat transfer is then proposed.