39

Momentum sink, for porous media 113 Monotized centered scheme 161

Multi-environment model of

Ranade and Bourne 143 Multi-environment models 142 Multi-grid methods 165 Multiphase flow processes 85 Multiphase flows, definition of phase 88 Multiphase flows, enthalpy conservation equation 107 Multiphase flows, modeling approaches 87 Multiphase flows, turbulent 110

Multiphase flows, types 86 Multiphase flows, with phase change 108 Multiphase Reactive Flow

Processes 144 Multiphase reactors, flow regimes 18 Multiple impellers, interaction 310

Multiple reference frame approach 291 Multi-scale modeling, bubble column reactors 265 Multi-scale modeling, FCC

regenerator 275 Multi-scale modeling, industrial loop reactor 266 Multi-scale modeling, iterative process 266

Navier Stokes equations 39 Network of zones model 15 Non-orthogonal grid, calculation of cell face flux 221

Non-orthogonal grid, calculation of computational cell 222

Non-orthogonal grid, control volume 220 Normal variable diagram 160 Numerical method, consistency 152

Numerical method, convergence 152

Numerical method, desired properties 152 Numerical method, stability 152

Numerical solution, of complex flow models 191 Numerical solution, of model equations 151 Nusselt number 43

Occam's razor 428 Outlet, boundary condition 49 Outlet, location 50 OXY Reactor for EDC 254 OXY Reactor for EDC, mixing cup 257 OXY reactor, comparison of simulated pressure drop with plant data 260 OXY reactor, fluid dynamics 260

OXY reactor, modeling methodology 258 Ozonation reactor, bubble column 358 Ozonation reactor, performance enhancement 358

Packed columns, flow simulation 415 Packed columns, simulation of

HETP 416 Partial differential equations 47 Partial differential equations, elliptic 47 Partial differential equations, hyperbolic 47 Partial differential equations, parabolic 47 Partial elimination algorithm

(PEA) 213 Particle size distribution,

Eulerian approach 111 Particle size distribution, in suspension polymerization reactor 249 Particle size distribution,

Lagrangian approach 101 Particle trajectory simulations, continuous random walk 100

Particle trajectory simulations, correlation slaved approach 101

Particle trajectory simulations, discrete random walk 100 Particle, equation of motion 94 Particle, forces 94 Particle, relaxation time 119 Particle, response time 119 Particle, trajectory equation 97 Particle—particle collision time 119

PDF, beta 139 PDF, double delta 139 Peclet number 42 Performance enhancement, example of olefin polymerization 27 Performance enhancement, goals 26 Performance enhancement, radial flow fixed bed reactor 405 Periodic boundary 51 Permeability 113 Permeability of fixed bed 408 Phenomenalogical (non-PDF)

models 141 Phenomenalogical models 28 PISO 170

Pitched blade turbine, flow simulation 302 Pitched blade turbine, trailing vortices 302 PLIC, for VOF 200 Population balance models for coalescence-breakup 364 Porosity 113 Post-processor 238 Post-processor, key issues in evaluation 234 Prandtl number 43 Pre-processor 232 Pre-processor, key issues in evaluation 234 Pre-processor, major tasks 233 Pressure correction equation, multiphase flows 214 Pressure correction equation, single phase flows 169 Pressure—velocity coupling, algorithms 167 Presumed PDF models 140 Probability distribution function (PDF) 139

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