## Quick 159

QUICK, SUPERBEE 161

Radial distribution function 106

Radial flow fixed bed reactor, application of flow model for optimization 410

Radial flow fixed bed reactor, computational grid 409 Radial flow fixed bed reactor, flow distribution 410 Radial flow fixed bed reactor, flow model 407 Radial flow fixed bed reactor, flow simulations 408 Radial flow fixed bed reactor, performance enhancement 405

Radial flow fixed bed reactor, schematic 406 Radial flow fixed bed reactor, simulated results 411 Radial flow fixed bed reactors 405

RANS based models of reactive flow processes 134 Reaction source term, time averaged 136 Reactive flow processes 123 Reactive flows 22 Reactive mixing, closure models 135 Reactive mixing, direct numerical simulations (DNS) 132 Reactive mixing, flamelet models 142 Reactive mixing, in stirred reactors 320 Reactive mixing, large eddy simulations (LES) 133 Reactive mixing, macrofluid concept 125 Reactive mixing, microfluid concept 125 Reactive mixing, micro-mixing models 131 Reactive mixing, mixture fraction approach 137 Reactive mixing, multi-environment models 142

Reactive mixing, Reynolds averaged equations (RANS) 134 Reactive mixing, series-parallel reactions 320 Reactive mixing, steps 126 Reactive precipitation 146 Reactor engineering and flow modeling 3 Reactor engineering methodology 244 Reactor engineering of fluidized beds, overall methodology 375

Reactor engineering, fluidized reactors 373 Reactor engineering, mehodology 18

Reactor engineering, of bubble columns 331 Reactor types 7 Rectangular bubble column, oscillation of bubble plume 347

Regenerator performance model 276

Residence time distribution

(RTD) 12, 13 Response time of particle 119 Restitution coefficients 105 Reynolds averaged

Navier-Stokes equations (RANS) 66 Reynolds averaging 66 Reynolds number 41 Reynolds number, particle 95 Reynolds stress models 76 RNG k—s model of turbulence 72

Runge-Kutta method 174 Rushton turbine, dual impeller 305

Rushton turbine, flow simulation 295 Rushton turbine, trailing vortices 299

Scalar transport models 79 Scale of segregation 126 Schmidt number 43 Segregation, intensity 126 Segregation, scale 126 Selection of appropriate grid 178

Selection of appropriate solution domain 178 Separated multiphase flows

114 SHARP 161 Sherwood number 43 SIMPLE 168 SIMPLE, for unsteady flows 176

SIMPLEC 169 SIMPLER 169 Simulation of bubbling bed, group A particles 393 Simulation of bubbling bed, group B particles 395 Simulation of bubbling bed, influence of discretization scheme 394 Simulation of bubbling/turbulent bed 390

Simulation of ethylene polymerization reactor 396

Simulation of flow generated by a disc (Rushton) turbine 295

Simulation of flow generated by a pitched blade turbine 302

Simulation of flow generated by multiple impellers 304 Simulation of fluidized beds, comparison of hard and soft sphere approach 380 Simulation of fluidized beds, influence of non-ideal particles 379 Simulation of fluidized beds, influence of particle size distribution 380 Simulation of fluidized beds, influence of spring stiffness 378 Simulation of multiphase flows 197

Simulation of multiphase flows, in stirred reactors 311 Simulation of reactions in bubbling fluidized bed reactors 396 Simulation of Reactive Flows 216

Simulation of reactive flows, coupling between PDF and CFD solver 217 Simulation of reactive flows, example 218 Simulation of reactive flows, fractional time step method 216

Simulation of reactive flows, look-up table 217 Simulation of riser reactors 381

Simulation of riser reactors, cluster correction to drag force 385 Simulation of riser reactors, influence of gas flux 388 Simulation of riser reactors, influence of particle density 388 Simulation of riser reactors, influence of particle diameter 388 Simulation of riser reactors, influence of riser diameter 386

Simulation of riser reactors, influence of solids flux 388

Simulation of riser reactors, performance at high solids flux 385 Simulation of riser reactors, performance at low solids flux 383 Simulation of turbulent flows 191

Simulation of turbulent flows, example 193 Simulation of turbulent flows, influence of discretization scheme 198 Simulation of turbulent flows, influence of grid 194 Simulation of turbulent flows, influence of turbulence model 199 Simulations with low viscosity fluids 183 SLIC, for VOF 200 Sliding mesh approach 291 SMART 161 Solid particles, Geldart classification 368 Solids bulk viscosity 106 Solids shear viscosity 106 Solution domain, bubble column reactors 342 Solution of algebraic equations 162 Solver 236

Solver, key issues in evaluation 234

Source, due to phase change 108

Source, linearization 158 Stability, numerical method 152

Stage-wise development 429 Staggered grid 166 Stanton number 43 Static mixer reactors 420 Stirred reactor, liquid phase oxidation 289 Stirred Reactors 285 Stirred reactors, CFD modeling 290

Stirred reactors, industrial applications 287 Stirred reactors, modeling approaches 290 Stirred reactors, modeling of reactive mixing 320 Stirred reactors, multiple impellers 304 Stirred reactors, simulation of gas-liquid flow 316 Stirred reactors, simulation of multiphase flows 311 Stirred reactors, two-fluid models 312 Stirred reactors, types 286 Stirred reactors, with pitched blade turbine 302 Stirred reactors, with Rushton turbine 295 Strongly implicit procedure

(SIP) 165 Strongly implicit procedure, modified (MSIP) 165

Sub grid scale (SGS) models 65

### Successive over-relaxation

(SOR) 164 Suspension polymerization reactor, overall modeling approach 250 Surface curvature 93 Surface force, for VOF 92 Surface integrals 154 Surface reactions 146 Suspension polymerization reactor 247 Suspension polymerization reactor, hydrofoil impellers 254

Suspension polymerization reactor, key parameters 247

Symmetry boundary 51

Thermal conductivity 40, 46 Thermal conductivity, in porous media 113 Thermal conductivity, mixture 45

Three phase simulation of bubble columns 351 Time averaging, Favre 67 Time averaging, Reynolds 66 Time integrals, Euler method

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