Conservation Laws for Multiphase Flow Conservation of Mass Momentum Energy Nomenclature Conservation and Constitutive Equations for Fluid-Particle Flow Systems Background on the Kinetic Theory Boltzmann Integral_Differential equation Conservation Laws with No Particle Interaction And Collisions l Conservation of Mass Conservation of Momentum Conservation of Solid-Phase Fluctuating Energy Conservation Laws with Particle Interaction and Collisions Boundary Conditions Modeling of Multi-Type Particle Flow Using the Kinetic Theory Approach Model Development Continuity equation Momentum Equation Fluctuating Energy Equation Kinetic' Equation Numerical Simulation of Simple Shear Flow Frictional Behavior of Granular Matters Mass, Momentum, and Constitutive equations Nomenclature Homogeneous and Nonhomogeneous Flow of the Particle Phase Filtered or Subgrid Model Energy Minimization Multi-Scale (EMMS) Approach Nomenclature Polydispersity and the Population Balance Model I Introduction to Polydisperse Systems and the Method of Moments Solution Technique Classical Method of Moments (MOM) Quądrature Method of Moments (QMOM) Direct Quadratue Method of Moments (ĘMoM) Finite Size Domain Complete set of Trial Functions Method of Moments (FCMOM) Population Balance Ęqution Finite Size Domain Complete set of Trial Functions Method of Moments (FCMOM)Approach CFD-PBE Coupling for Gas-Particle Flow Systems Verification and Validation of FCMOM Linear Growth Homogeneous Aggregation Nonhomogeneous Aggregation in Emulsion Flow Nomenclature CFD Simulation of a Pharmaceutical Bubbling Bed Drying Process Problem Solution Conservation of Energy Species Balance Ęuation for Water 83 Drying Rate Model (Calculation ot m) Boundary Conditions Numeńcal Solution CFD Simulation of a CO2 Capture hocess In a CFBReactor Reaction Kinetic Model Numerical Solution CFD-PBE Simulatión of a Co2 Capture Process Using Solid Sorbents Nomenclature