Gas Cyclones and Swirl Tubes

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Gas Cyclones and Swirl Tubes Principles, Design, and Operation Bearbeitet von Alex C Hoffmann, Louis E Stein Neuausgabe 2007. Buch. xxvi, 422 S. Hardcover ISBN 978 3 540 74694 2 Format (B x L): 15,5 x 23,5 cm Gewicht: 1780 g Weitere Fachgebiete > Technik > Verfahrenstechnik, Chemieingenieurwesen, Lebensmitteltechnik schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, ebooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte.

Contents 1 Introduction... 1 1.1 SomeHistoricalBackground... 1 1.2 RemovalofParticlesfromGases... 6 1.2.1 Filtration... 8 1.2.2 WetScrubbers... 10 1.2.3 Centrifugal/CyclonicDevices... 11 1.2.4 Knock-outVesselsandSettlingChambers... 12 1.3 A Closer Look at Centrifugal Gas Cleaning Devices.......... 12 1.3.1 ApplicationsofCentrifugalSeparators... 13 1.3.2 ClassificationofCentrifugalSeparators... 17 1.3.3 Two Main Classes Cyclones and Swirl Tubes........ 20 2 Basic Ideas... 23 2.1 GasFlow... 23 2.1.1 SwirlingFlow... 23 2.1.2 StaticandDynamicPressure... 26 2.2 ParticleMotion... 27 2.3 ParticleSize... 32 2.3.1 DefinitionsofParticleSize... 32 2.3.2 ParticleSizeDistribution... 33 2.4 ParticleDensity... 37 2.A IdealVortexLawsfromN-SEqs... 38 2.B ModelFunctionsforSizeDistributions... 41 2.B.1 TheNormalDistribution... 42 2.B.2 TheLog-NormalDistribution... 42 2.B.3 TheRosin-RammlerDistribution... 43 3 How Cyclones Work... 45 3.1 FlowinCyclones... 45 3.1.1 GasFlowPattern... 45 3.1.2 ParticleFlow... 49

XXII Contents 3.2 SeparationEfficiency... 51 3.2.1 OverallSeparationEfficiency... 51 3.2.2 Grade-Efficiency... 51 3.2.3 Converting Between Overall Efficiency and Cut-size.... 54 3.3 PressureDrop... 54 3.A Worked Example: Calculating a Grade-Efficiency Curve...... 56 4 Cyclone Flow Pattern and Pressure Drop... 59 4.1 Discussion... 59 4.1.1 FlowPattern... 60 4.1.2 PressureDrop... 61 4.2 ModelsfortheFlowPattern... 64 4.2.1 n-typemodel... 65 4.2.2 Barth... 66 4.3 ModelsforthePressureDrop... 70 4.3.1 Models Based on Estimating the Dissipative Loss...... 71 4.3.2 CoreModel... 72 4.3.3 PurelyEmpiricalModels... 77 4.4 ModelAssumptionsinLightofCFDandExperiment... 78 4.5 Overview... 82 4.A Worked Example for Calculating Cyclone Pressure Drop...... 83 4.B The Meissner and LöfflerModel... 85 5 Cyclone Separation Efficiency... 89 5.1 Discussion... 89 5.2 Models... 90 5.2.1 Equilibrium-orbit Models: the Model of Barth......... 90 5.2.2 Time-of-FlightModels... 93 5.2.3 HybridModels... 96 5.2.4 ComparingtheModels... 96 5.3 Comparison of Model PredictionswithExperiment.... 97 5.3.1 AgreementwithExperimentinGeneral... 97 5.3.2 A Case Study: the Effect of Cyclone Length.......... 98 5.4 Overview...102 5.A WorkedExample,SeparationPerformance...103 5.B Models of Dietz and of Mothes and Löffler...106 6 The Muschelknautz Method of Modeling...111 6.1 BasisoftheModel...112 6.2 Computation of the Inner Vortex Cut-Point, x 50...118 6.3 Computation of Efficiency at Low Solids Loadings.......... 120 6.4 Determining ifthemassloadingeffectwilloccur...122 6.5 Overall Separation Efficiency when c o >c ol...122 6.6 ComputationofPressureDrop...124 6.A ExampleProblems...125

Contents XXIII 6.A.1 Data from Hoffmann, Peng and Postma (2001)........ 125 6.A.2 Data from Obermair and Staudinger (2001)........... 128 6.A.3 Simulation of the Data from Greif (1997)............. 129 6.B Incorporationofthe InnerFeed...133 7 Computational Fluid Dynamics...139 7.1 SimulatingtheGasFlowPattern...140 7.1.1 SettinguptheFiniteDifferenceEquations...140 7.1.2 TurbulenceModels...142 7.1.3 Simulations...143 7.2 SimulatingtheParticleFlow...147 7.2.1 EulerianModeling...148 7.2.2 LagrangianParticleTracking...148 7.2.3 3-Dparticletracks...148 7.3 Some Simulations of the Gas and Particle Flow in Cyclones... 149 7.3.1 LES Simulations of Derksen and van den Akker....... 149 7.3.2 SomeRemarksonCFD incyclones...160 7.A TransportEquations...161 8 Dimensional Analysis and Scaling Rules...163 8.1 ClassicalDimensionalAnalysis...164 8.1.1 SeparationEfficiency...164 8.1.2 PressureDrop...167 8.2 ScalingCyclonesinPractice...168 8.2.1 Approximately Constant Stk 50 over a Wide Range of Re168 8.2.2 Eu Only Weakly Dependent on Re...171 8.2.3 SomeotherConsiderations...172 8.2.4 Stk-Eu Relationships...173 8.A InspectingtheEquationsofMotion...176 8.A.1 EquationofMotionfortheGas...176 8.A.2 EquationofMotionforaParticle...176 8.B SampleCycloneScalingCalculations...177 8.B.1 Inlet Velocity for Re Similarity...177 8.B.2 PredictionfromScaleModel...178 9 Other Factors Influencing Performance...183 9.1 TheEffectofSolidsLoading...183 9.1.1 Effect on Separation Efficiency of Cyclones........... 183 9.1.2 Models for Effect on Separation Efficiency............ 185 9.1.3 Effect on the Separation Efficiency of Swirl Tubes..... 191 9.1.4 Effect on the Pressure Drop of Cyclones.............. 192 9.1.5 Effect on the Pressure Drop Across Swirl Tubes....... 194 9.1.6 Computing Performance with High Loading.......... 194 9.2 TheEffectoftheNaturalVortexLength...195 9.2.1 TheNatureoftheVortexEnd...195

XXIV Contents 9.2.2 WallVelocityDueto CorePrecession...197 9.2.3 TheSignificanceoftheVortexEnd...199 9.2.4 ModelsfortheNaturalVortexLength...203 9.A Predicting the Effect of Solids Loading on Cyclone Efficiency.. 205 9.B Predicting the Effect of Loading on Cyclone Pressure Drop... 208 10 Measurement Techniques...213 10.1 GasFlowPattern...216 10.2 PressureDrop...218 10.3 ParticleFlow...219 10.4 OverallSeparationEfficiency...220 10.4.1 On-lineSamplingofSolids...221 10.5 Grade-Efficiency...224 10.5.1 On-Line vs. Off-LineSizeAnalysis...224 10.5.2 SampleCaptureandPreparation...225 10.5.3 MethodsforSizeAnalysis...226 10.AEstimateofErrors...231 11 Underflow Configurations and Considerations...235 11.1 UnderflowConfigurations...235 11.2 Importanceofa GoodUnderflowSeal...239 11.2.1 InleakageExample...242 11.3 UpsetsCausedby TooGood anunderflowseal...243 11.4 Second-StageDiplegSolids Backup...246 11.5 Hopper Crossflow...248 11.6 HopperVentingOptions...250 11.ADiplegCalculation...253 11.B Moment Balance on Flapper Valve Plate................... 253 11.B.1Example...256 12 Some Special Topics...257 12.1 CycloneErosion...257 12.1.1 Inlet TargetZone...257 12.1.2 LowerConeSection...260 12.1.3 VortexTubeOuterSurface...263 12.1.4 ErosionProtection...268 12.2 CriticalDepositionVelocity...279 12.3 HighVacuumCase...281 12.3.1 Application to Cyclone or Swirl Tube Simulation...... 282 12.A Worked Example for Critical Deposition Velocity............ 283 12.BWorkedExamplewithSlip...283

Contents XXV 13 Demisting Cyclones...287 13.1 LiquidCreepand LayerLoss...288 13.2 DemistingCycloneDesignConsiderations...290 13.3 Some Vapor-Liquid Cyclone Design Geometries and Features.. 292 13.4 Estimating Inlet Drop Size for Two-Phase Mist-Annular Flow. 299 13.4.1 EstimatingDropSizeDistribution...301 13.5 Modeling the Performance of Vapor-Liquid Cyclones......... 302 13.5.1 ComputationofCutSize...302 13.5.2 Computation of Efficiency at Low Inlet Loadings...... 303 13.6 Criteria for Determining if Mass loading ( Saltation ) Occurs. 303 13.6.1 Overall Separation Efficiency when c o >c ol...304 13.7 Re-entrainmentFromDemisting Cyclones...305 13.7.1 Re-entrainment Mechanisms and Governing Parameters 305 13.7.2 DataforRe-entrainment...308 13.A Example Calculations of Droplet Sizes in Pipe Flow.......... 311 13.A.1Finding themeandropletsize...311 13.A.2FindingtheDropletSizeDistribution...312 13.B Flow Distribution in Parallel Demisting Cyclones............ 312 13.B.1CalculationofFlowDistribution...317 13.B.2CalculationofLiquidLevelDifference...317 13.C Method for Estimating Wall Film Thickness and Velocity..... 318 13.C.1 Two-Phase, Co-current, Annular Force Balance, ResolvedintheAxialDirection...320 13.C.2FrictionFactorsandShearStresses...321 13.C.3 Final Form of Void Fraction Equation................ 323 13.DExamplecalculation...324 14 Foam-Breaking Cyclones...327 14.1 Introduction...327 14.2 Some Design Considerations and Factors Influencing Behavior. 330 14.3 Applications...334 14.4 Estimating Submergence Required to Prevent Gas Blow Out 334 14.A Example Calculation of Submergence Required.............. 340 15 Design Aspects...341 15.1 Cylinder-on-Cone Cyclones with Tangential Inlet............ 341 15.1.1 SomeStandardCycloneDesigns...341 15.1.2 DesignoftheInlet...342 15.1.3 DesignoftheConeSection...349 15.1.4 SolidsOutletConfigurations...350 15.1.5 VortexFinderGeometries...353 15.1.6 CycloneLength...363 15.1.7 CycloneRoof...364 15.1.8 CycloneOperatingConditions...367 15.2 DesignofSwirlTubeswithSwirlVanes...368

XXVI Contents 15.2.1 DesignoftheInletVanes...368 15.2.2 CalculationofInlet Throat Area...370 15.2.3 Length of the Swirl Tube Body and the Solids Exit.... 372 15.AExampleCalculationoftheThroatArea...373 15.BConstructionofVane Cut-out pattern...374 16 Multicyclone Arrangements...381 16.1 CyclonesinSeries...381 16.2 CyclonesinParallel...382 16.A Example Calculation for Multicyclone Arrangements......... 391 List of Symbols...397 List of Tradenames...403 References...405 Index...411