Numerical study of two-phase turbulent flow

In this thesis we calculate various Lagrangian correlation functions for fluid and particle velocities along the trajectories of the particles in two-phase turbulent flow cases.;We consider the case of stationary homogeneous isotropic turbulence laden with mono-dispersed particles. The particle size is assumed to be smaller than the average smallest scales of turbulence i.e., Kolmogorov length scale. This allows us to treat particles as point particles and their motion can be calculated using Newton's second law coupled with Stokes drag force acting on the particles due to surrounding turbulent fluid flow. For simulation of stationary homogeneous isotropic turbulence, we use Kinetic Simulation (KS) method which was proposed by Kraichnan and further developed and used in recent years to study fundamental aspects of behavior of particles in isotropic turbulent flow. In this KS, we then simulate instantaneous trajectories of 10000 particles and generate data on particles position, velocity and fluid velocity at particles' locations. These results are utilized to calculate various Lagrangian correlations (for particle and fluid velocities) along the particles' trajectories.;The present KS based study of particle laden flow captures phenomenon of preferential distribution of particles. This phenomenon suggests that particles have tendency to form clusters as flow evolves from initially uniform distribution of particles in the isotropic flow. It has been observed in the present study that various time autocorrelations of velocity components tend toward zero value for large time difference and which is consistent with other existing studies.