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Multiphase flow dynamics: 1 Fundamentals

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Main Author:	Kolev, Nikolay Ivanov 1951- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2007
Edition:	3. ed.
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016027428&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XL, 758 S. Ill., graph. Darst. 1 CD-ROM (12 cm)
ISBN:	9783540221067 9783540698326 3540430172

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adam_text	NIKOLAY I. KOLEV MULTIPHASE FLOW DYNAMICS 1 FUNDAMENTALS 3RD EDITION WITH 149 FIGURES AND CD-ROM &J SPRINGER TABLE OF CONTENTS CHAPTER 14 OF VOLUME 1 AND CHAPTER 26 OF VOLUME 2 ARE AVAILABLE IN PDF FORMAT ON THE CD-ROM ATTACHED TO VOLUME 1. THE SYSTEM REQUIREMENTS ARE WINDOWS 98 AND HIGHER. BOTH PDF FILES CONTAIN LINKS TO COMPUTER ANIMATIONS. TO SEE THE ANIMA- TIONS, ONE DOUBLE CLICKS ON THE ACTIVE LINKS CONTAINED INSIDE THE PDF DOCUMENTS. THE ANIMATIONS ARE THEN DISPLAYED IN AN INTERNET BROWSER, SUCH MICROSOFT INTERNET EXPLORER OR NETSCAPE. ALTERNATIVELY, GIF-FILE ANIMATIONS ARE ALSO PROVIDED. NOMENCLATURE XXV INTRODUCTION XXXV 1 MASS CONSERVATION 1 1.1 INTRODUCTION ;...L 1.2 BASIC DEFINITIONS 2 1.3 NON-STRUCTURED AND STRUCTURED FIELDS 9 1.4 SLATTERY AND WHITAKER S LOCAL SPATIAL AVERAGING THEOREM 10 1.5 GENERAL TRANSPORT EQUATION (LEIBNITZ RULE) 12 1.6 LOCAL VOLUME-AVERAGED MASS CONSERVATION EQUATION 13 1.7 TIME AVERAGE .* 16 1.8 LOCAL VOLUME-AVERAGED COMPONENT CONSERVATION EQUATIONS 18 1.9 LOCAL VOLUME- AND TIME-AVERAGED CONSERVATION EQUATIONS 20 1.10 CONSERVATION EQUATIONS FOR THE NUMBER DENSITY OF PARTICLES 24 1.11 IMPLICATION OF THE ASSUMPTION OF MONO-DISPERSITY IN A CELL 30 1.11.1 PARTICLE SIZE SPECTRUM AND AVERAGING 30 1.11.2 CUTTING OF THE LOWER PART OF THE SPECTRUM DUE TO MASS TRANSFER 31 1.11.3 THE EFFECT OF THE AVERAGING ON THE EFFGPTIVE VELOCITY DIFFERENCE 33 1.12 STRATIFIED STRUCTURE 35 1.13 FINAL REMARKS AND CONCLUSIONS 35 REFERENCES 37 2 MOMENTUMS CONSERVATION 41 2.1 INTRODUCTION 41 2.2 LOCAL VOLUME-AVERAGED MOMENTUM EQUATIONS 42 2.2.1 SINGLE-PHASE MOMENTUM EQUATIONS 42 2.2.2 INTERFACE FORCE BALANCE (MOMENTUM JUMP CONDITION) 42 XVI TABLE OF CONTENTS 2.2.3 LOCAL VOLUME AVERAGING OF THE SINGLE-PHASE MOMENTUM EQUATION 49 2.3 REARRANGEMENT OF THE SURFACE INTEGRALS 51 2.4 LOCAL VOLUME AVERAGE AND TIME AVERAGE 55 2.5 DISPERSED PHASE IN LAMINAR CONTINUUM - PSEUDO TURBULENCE 57 2.6 VISCOUS AND REYNOLDS STRESSES 57 2.7 NON-EQUAL BULK AND BOUNDARY LAYER PRESSURES 62 2.7.1 CONTINUOUS INTERFACE 62 2.7.2 DISPERSED INTERFACE 77 2.8 WORKING FORM FOR DISPERSED AND CONTINUOUS PHASE 93 2.9 GENERAL WORKING FORM FOR DISPERSED AND CONTINUOUS PHASES 98 2.10 SOME PRACTICAL SIMPLIFICATIONS 100 2.11 CONCLUSION 104 APPENDIX 2.1 104 APPENDIX 2.2 105 APPENDIX 2.3 106 REFERENCES 109 3 DERIVATIVES FOR THE EQUATIONS OF STATE 115 3.1 INTRODUCTION 115 3.2 MULTI-COMPONENT MIXTURES OF MISCIBLE AND NON-MISCIBLE COMPONENTS 117 3.2.1 COMPUTATION OF PARTIAL PRESSURES FOR KNOWN MASS CONCENTRATIONS, SYSTEM PRESSURE AND TEMPERATURE 118 3.2.2 PARTIAL DERIVATIVES OF THE EQUATION OF STATE 125 3.2.3 PARTIAL DERIVATIVES IN THE EQUATION OF STATE T = T( 2 ,..., T J), WHERE 130 3.2.4 CHEMICAL POTENTIAL 139 3.2.5 PARTIAL DERIVATIVES IN THE EQUATION OF STATE P = P(P, 2 , I, WHERE Q = S,H,E 150 3.3 MIXTURE OF LIQUID AND MICROSCOPIC SOLID PARTICLES OF DIFFERENT CHEMICAL SUBSTANCES 153 3.3.1 PARTIAL DERIVATIVES IN THE EQUATION OF STATE 3.3.2 PARTIAL DERIVATIVES IN THE EQUATION OF STATE T = T{P,(P,C 2 ,. ) WHERE (P-H,E,S 154 3.4 SINGLE-COMPONENT EQUILIBRIUM FLUID 155 3.4.1 SUPERHEATED VAPOR 155 3.4.2 RECONSTRUCTION OF EQUATION OF STATE BY USING A LIMITED AMOUNT OF DATA AVAILABLE 156 3.4.3 VAPOR-LIQUID MIXTURE IN THERMODYNAMIC EQUILIBRIUM 163 TABLE OF CONTENTS XVII 3.4.4 LIQUID-SOLID MIXTURE IN THERMODYNAMIC EQUILIBRIUM 164 3.4.5 SOLID PHASE 164 3.5 EXTENSION STATE OF LIQUIDS 165 APPENDIX 3.1 APPLICATION OF THE THEORY TO STEAM-AIR MIXTURES 165 APPENDIX 3.2 USEFUL REFERENCES FOR COMPUTING PROPERTIES OF SINGLE CONSTITUENTS 167 APPENDIX 3.3 USEFUL DEFINITIONS AND RELATIONS BETWEEN THERMODYNAMIC QUANTITIES . 169 REFERENCES 170 4 ON THE VARIETY OF NOTATIONS OF THE ENERGY CONSERVATION FOR SINGLE-PHASE FLOW 173 4.1 INTRODUCTION 173 4.2 MASS AND MOMENTUM CONSERVATION, ENERGY CONSERVATION 174 4.3 SIMPLE NOTATION OF THE ENERGY CONSERVATION EQUATION 175 4.4 THE ENTROPY 176 4.5 EQUATION OF STATE 177 4.6 VARIETY OF NOTATION OF THE ENERGY CONSERVATION PRINCIPLE 177 4.6.1 TEMPERATURE 177 4.6.2 SPECIFIC ENTHALPY 178 4.7 SUMMARY OF DIFFERENT NOTATIONS 179 4.8 THE EQUIVALENCE OF THE CANONICAL FORMS 179 4.9 EQUIVALENCE OF THE ANALYTICAL SOLUTIONS 182 4.10 EQUIVALENCE OF THE NUMERICAL SOLUTIONS? 183 4.10.1 EXPLICIT FIRST ORDER METHOD OF CHARACTERISTICS 183 4.10.2 THE PERFECT GAS SHOCK TUBE: BENCHMARK FOR NUMERICAL METHODS 187 4.11 INTERPENETRATING FLUIDS 196 4.12 SUMMARY OF DIFFERENT NOTATIONS FOR INTERPENETRATING FLUIDS 201 APPENDIX 4.1 ANALYTICAL SOLUTION OF THE SHOCK TUBE PROBLEM 203 APPENDIX 4.2 ACHIEVABLE ACCURACY OF THE DONOR-CELL METHOD FOR SINGLE-PHASE FLOWS -. 207 REFERENCES 210 5 FIRST AND SECOND LAWS OF THE THERMODYNAMICS 213 5.1 INTRODUCTION 213 5.2 INSTANTANEOUS LOCAL VOLUME AVERAGE ENERGY EQUATIONS 216 5.3 DALTON AND FICWS LAWS , CENTER OF MASS MFXTURE VELOCITY, CALORIC MIXTURE PROPERTIES 223 5.4 ENTHALPY EQUATION 225 5.5 INTERNAL ENERGY EQUATION 229 5.6 ENTROPY EQUATION 230 5.7 LOCAL VOLUME- AND TIME-AVERAGED ENTROPY EQUATION 234 5.8 LOCAL VOLUME- AND TIME-AVERAGED INTERNAL ENERGY EQUATION 239 XVIII TABLE OF CONTENTS 5.9 LOCAL VOLUME- AND TIME-AVERAGED SPECIFIC ENTHALPY EQUATION 241 5.10 NON-CONSERVATIVE AND SEMI-CONSERVATIVE FORMS OF THE ENTROPY EQUATION 243 5.11 COMMENTS ON THE SOURCE TERMS IN THE MIXTURE ENTROPY EQUATION 245 5.12 VISCOUS DISSIPATION 250 5.13 TEMPERATURE EQUATION 255 5.14 SECOND LAW OF THE THERMODYNAMICS . . 259 5.15 MIXTURE VOLUME CONSERVATION EQUATION 260 5.16 LINEARIZED FORM OF THE SOURCE TERM FOR THE TEMPERATURE EQUATION 265 5.17 INTERFACE CONDITIONS 272 5.18 LUMPED PARAMETER VOLUMES 273 5.19 STEADY STATE 274 5.20 FINAL REMARKS 278 REFERENCES 279 SOME SIMPLE APPLICATIONS OF THE MASS AND ENERGY CONSERVATION 283 6.1 INFINITE HEAT EXCHANGE WITHOUT INTERFACIAL MASS TRANSFER 283 6.2 DISCHARGE OF GAS FROM A VOLUME 285 6.3 INJECTION OF INERT GAS IN A CLOSED VOLUME INITIALLY FILLED WITH INERT GAS 287 6.4 HEAT INPUT IN A GAS IN A CLOSED VOLUME 288 6.5 STEAM INJECTION IN A STEAM-AIR MIXTURE 289 6.6 CHEMICAL REACTION IN A GAS MIXTURE IN A CLOSED VOLUME 292 6.7 HYDROGEN COMBUSTION IN AN INERT ATMOSPHERE 294 6.7.1 SIMPLE INTRODUCTION TO COMBUSTION KINETICS 294 6.7.2 IGNITION TEMPERATURE AND IGNITION CONCENTRATION LIMITS 296 6.7.3 DETONABILITY CONCENTRATION LIMITS 297 6.7.4 THE HEAT RELEASE DUE TO COMBUSTION 297 6.7.5 EQUILIBRIUM DISSOCIATION 298 6.7.6 SOURCE TERMS^OF THE ENERGY CONSERVATION OF THE GAS PHASE 303 6.7.7 TEMPERATURE AND PRESSURE CHANGES IN A CLOSED CONTROL VOLUME; ADIABATIC TEMPERATURE OF THE BURNED GASES 305 REFERENCES 309 EXERGY OF MULTI-PHASE MULTI-COMPONENT SYSTEMS 311 7.1 INTRODUCTION 311 7.2 THE PSEUDO-EXERGY EQUATION FOR SINGLE-FLUID SYSTEMS 311 7.3 THE FUNDAMENTAL EXERGY EQUATION .?. 313 7.3.1 THE EXERGY DEFINITION IN ACCORDANCE WITH REYNOLDS AND PERKINS 313 7.3.2 THE EXERGY DEFINITION IN ACCORDANCE WITH GOUY (PENERGIE UTILISABLE, 1889) 314 7.3.3 THE EXERGY DEFINITION APPROPRIATE FOR ESTIMATION OF THE VOLUME CHANGE WORK 315 7.3.4 THE.EXERGY DEFINITION APPROPRIATE FOR ESTIMATION OF THE TECHNICAL WORK 316 7.4 SOME INTERESTING CONSEQUENCES OF THE FUNDAMENTAL EXERGY EQUATION.... 316 TABLE OF CONTENTS XIX 7.5 JUDGING THE EFFICIENCY OF A HEAT PUMP AS AN EXAMPLE OF APPLICATION OF THE EXERGY 318 7.6 THREE-FLUID MULTI-COMPONENT SYSTEMS 320 7.7 PRACTICAL RELEVANCE 323 REFERENCES 323 8 ONE-DIMENSIONAL THREE-FLUID FLOWS 325 8.1 SUMMARY OF THE LOCAL VOLUME- AND TIME-AVERAGED CONSERVATION EQUATIONS 325 8.2 TREATMENT OF THE FIELD PRESSURE GRADIENT FORCES 328 8.2.1 DISPERSED FLOWS 328 8.2.2 STRATIFIED FLOW 329 8.3 PIPE DEFORMATION DUE TO TEMPORAL PRESSURE CHANGE IN THE FLOW 329 8.4 SOME SIMPLE CASES 331 8.5 SLIP MODEL - TRANSIENT FLOW 338 8.6 SLIP MODEL - STEADY STATE. CRITICAL MASS FLOW RATE 342 8.7 FORCES ACTING ON THE PIPES DUE TO THE FLOW - THEORETICAL BASICS 350 8.8 RELIEF VALVES 356 8.8.1 INTRODUCTION 356 8.8.2 VALVE CHARACTERISTICS, MODEL FORMULATION 357 8.8.3 ANALYTICAL SOLUTION 361 8.8.4 FITTING THE PIECEWISE SOLUTION ON TWO KNOWN POSITION - TIME POINTS 363 8.8.5 FITTING THE PIECEWISE SOLUTION ON KNOWN VELOCITY AND POSITION FOR A GIVEN TIME 365 8.8.6 IDEALIZED VALVE CHARACTERISTICS 366 8.8.7 RECOMMENDATIONS FOR THE APPLICATION OF THE MODEL IN SYSTEM COMPUTER CODES 368 8.8.8 SOME ILLUSTRATIONS OF THE VALVE PERFORMANCE MODEL 370 8.8.9 NOMENCLATURE FOR SECTION 8.8 376 8.9 PUMP MODEL 378 8.9.1 VARIABLES DEFINING THE PUMP BEHAVIOR 378 8.9.2 THEORETICAL BASICS 381 8.9.3 SUTER DIAGRAM 388 8.9.4 COMPUTATIONAL PROCEDURE 394 8.9.5 CENTRIFUGAL PUMP DRIVE MODEL 395 8.9.6 EXTENSION OF THE THEORY TO MULTI-PHASE FLOW 396 APPENDIX 1: CHRONOLOGICAL REFERENCES TO THE SUBJECT CRITICAL TWO-PHASE FLOW 399 REFERENCES 405 9 DETONATION WAVES CAUSED BY CHEMICAL REACTIONS OR BY MELT-COOLANT INTERACTIONS 407 9.1 INTRODUCTION 1 407 9.2 SINGLE-PHASE THEORY 409 9.2.1 CONTINUUM SOUNDWAVES (LAPLACE) 409 9.2.2 DISCONTINUUM SHOCKWAVES (RANKINE-HUGONIOT) 410 XX TABLE OF CONTENTS 9.2.3 THE LANDAU AND LIFTSHITZ ANALYTICAL SOLUTION FOR DETONATION IN PERFECT GASES 414 9.2.4 NUMERICAL SOLUTION FOR DETONATION IN CLOSED PIPES 418 9.3 MULTI-PHASE FLOW 421 9.3.1 CONTINUUM SOUND WAVES 421 9.3.2 DISCONTINUUM SHOCKWAVES 423 9.3.3 MELT-COOLANT INTERACTION DETONATIONS 424 9.3.4 SIMILARITY TO AND DIFFERENCES FROM THE YUEN AND THEOFANOUS FORMALISM 429 9.3.5 NUMERICAL SOLUTION METHOD 430 9.4 DETONATION WAVES IN WATER MIXED WITH DIFFERENT MOLTEN MATERIALS 431 9.4.1 UO 2 WATER SYSTEM 431 9.4.2 EFFICIENCIES 435 9.4.3 THE MAXIMUM COOLANT ENTRAINMENT RATIO 438 9.5 CONCLUSIONS 439 9.6 PRACTICAL SIGNIFICANCE 441 APPENDIX 9.1 SPECIFIC HEAT CAPACITY AT CONSTANT PRESSURE FOR URANIA AND ALUMINA 442 REFERENCES 443 10 CONSERVATION EQUATIONS IN GENERAL CURVILINEAR COORDINATE SYSTEMS 445 10.1 INTRODUCTION 445 10.2 FIELD MASS CONSERVATION EQUATIONS 446 10.3 MASS CONSERVATION EQUATIONS FOR COMPONENTS INSIDE THE FIELD - ^CONSERVATIVE FORM 449 10.4 FIELD MASS CONSERVATION EQUATIONS FOR COMPONENTS INSIDE THE FIELD - NON-CONSERVATIVE FORM 451 10.5 PARTICLES NUMBER CONSERVATION EQUATIONS FOR EACH VELOCITY FIELD 451 10.6 FIELD ENTROPY CONSERVATION EQUATIONS - CONSERVATIVE FORM 452 10.7 FIELD ENTROPY CONSERVATION EQUATIONS - NON-CONSERVATIVE FORM 453 10.8 IRREVERSIBLE POWER DISSIPATION CAUSED BY THE VISCOUS FORCES 454 10.9 THE NON-CONSERVATIVE ENTROPY EQUATION IN TERMS OF TEMPERATURE AND PRESSURE 456 10.10 THE VOLUME CONSERVATION EQUATION 458 10.11 THE MOMENTUM EQUATIONS 459 10.12 THE FLUX CONCEPT, CONSERVATIVE AND SEMI-CONSERVATIVE FORMS 466 10.12.1 MASS CONSERVATION EQUATION .: 466 10.12.2 ENTROPY EQUATION 468 10.12.3 TEMPERATURE EQUATION 468 10.12.4 MOMENTUM CONSERVATION IN THE JC-DIRECTION 469 10.12.5 MOMENTUM CONSERVATION IN THE ^-DIRECTION 470 10.12.6 MOMENTUM CONSERVATION IN THE Z-DIRECTION 472 10.13 CONCLUDING REMARKS 473 REFERENCES ,.- 473 TABLE OF CONTENTS XXI 11 TYPE OF THE SYSTEM OF PDES 475 11.1 EIGENVALUES, EIGENVECTORS, CANONICAL FORM 475 11.2 PHYSICAL INTERPRETATION 478 11.2.1 EIGENVALUES AND PROPAGATION VELOCITY OF PERTURBATIONS 478 11.2.2 EIGENVALUES AND PROPAGATION VELOCITY OF HARMONIC OSCILLATIONS 478 11.2.3 EIGENVALUES AND CRITICAL FLOW 479 REFERENCES R 480 12 NUMERICAL SOLUTION METHODS FOR MULTI-PHASE FLOW PROBLEMS 481 12.1 INTRODUCTION 481 12.2 FORMULATION OF THE MATHEMATICAL PROBLEM 481 12.3 SPACE DISCRETIZATION AND LOCATION OF THE DISCRETE VARIABLES 483 12.4 DISCRETIZATION OF THE MASS CONSERVATION EQUATIONS 488 12.5 FIRST ORDER DONOR-CELL FINITE DIFFERENCE APPROXIMATIONS 490 12.6 DISCRETIZATION OF THE CONCENTRATION EQUATIONS 492 12.7 DISCRETIZATION OF THE ENTROPY EQUATION 493 12.8 DISCRETIZATION OF THE TEMPERATURE EQUATION 494 12.9 PHYSICAL SIGNIFICANCE OF THE NECESSARY CONVERGENCE CONDITION 497 12.10 IMPLICIT DISCRETIZATION OF MOMENTUM EQUATIONS 499 12.11 PRESSURE EQUATIONS FOR IVA2 AND IVA3 COMPUTER CODES 505 12.12 A NEWTON-TYPE ITERATION METHOD FOR MULTI-PHASE FLOWS 508 12.13 INTEGRATION PROCEDURE: IMPLICIT METHOD 517 12.14 TIME STEP AND ACCURACY CONTROL 519 12.15 HIGH ORDER DISCRETIZATION SCHEMES FOR CONVECTION-DIFFUSION TERMS 520 12.15.1 SPACE EXPONENTIAL SCHEME 520 12.15.2 HIGH ORDER UPWINDING 523 12.15.3 CONSTRAINED INTERPOLATION PROFILE (CIP) METHOD 525 12.16 PROBLEM SOLUTION EXAMPLES TO THE BASICS OF THE CIP METHOD 530 12.16.1 DISCRETIZATION CONCEPT 530 12.16.2 SECOND ORDER CONSTRAINED INTERPOLATION PROFILES 531 12.16.3 THIRD ORDER CONSTRAINED INTERPOLATION PROFILES 533 12.16.4 FOURTH ORDER CONSTRAINED INTERPOLATION PROFILES 534 12.17 PIPE NETWORKS: SOME BASIC DEFINITIONS 554 12.17.1 PIPES .554 12.17.2 AXIS IN THE SPACE 556 12.17.3 DIAMETERS OF PIPE SECTIONS 557 12.17.4 REDUCTIONS FF 557 12.17.5 ELBOWS 558 12.17.6 CREATING A LIBRARY OF PIPES 559 12.17.7 SUB SYSTEM NETWORK 559 12.17.8 DISCRETIZATION OF PIPES 560 12.17.9 KNOTS * 560 APPENDIX 12.1 DEFINITIONS APPLICABLE TO DISCRETIZATION OF THE MASS CONSERVATION EQUATIONS 562 APPENDIX 12.2 DISCRETIZATION OF THE CONCENTRATION EQUATIONS 565 XXII TABLE OF CONTENTS APPENDIX 12.3 HARMONIC AVERAGED DIFFUSION COEFFICIENTS 567 APPENDIX 12.4. DISCRETIZED RADIAL MOMENTUM EQUATION 568 APPENDIX 12.5 THE A COEFFICIENTS FOR EQ. (12.46) 573 APPENDIX 12.6 DISCRETIZATION OF THE ANGULAR MOMENTUM EQUATION 573 APPENDIX 12.7 DISCRETIZATION OF THE AXIAL MOMENTUM EQUATION 575 APPENDIX 12.8 ANALYTICAL DERIVATIVES FOR THE RESIDUAL ERROR OF EACH EQUATION WITH RESPECT TO THE DEPENDENT VARIABLES 577 APPENDIX 12.9 SIMPLE INTRODUCTION TO ITERATIVE METHODS FOR SOLUTION OF ALGEBRAIC SYSTEMS 580 REFERENCES 581 13 NUMERICAL METHODS FOR MULTI-PHASE FLOW IN CURVILINEAR COORDINATE SYSTEMS 587 13.1 INTRODUCTION 587 13.2 NODES, GRIDS, MESHES, TOPOLOGY - SOME BASIC DEFINITIONS 589 13.3 FORMULATION OF THE MATHEMATICAL PROBLEM 590 13.4 DISCRETIZATION OF THE MASS CONSERVATION EQUATIONS 592 13.4.1 INTEGRATION OVER A FINITE TIME STEP AND FINITE CONTROL VOLUME 592 13.4.2 THE DONOR-CELL CONCEPT 594 13.4.3 TWO METHODS FOR COMPUTING THE FINITE DIFFERENCE APPROXIMATIONS OF THE CONTRAVARIANT VECTORS AT THE CELL CENTER 597 13.4.4 DISCRETIZATION OF THE DIFFUSION TERMS 599 13.5 DISCRETIZATION OF THE ENTROPY EQUATION 603 13.6 DISCRETIZATION OF THE TEMPERATURE EQUATION 604 13.7 DISCRETIZATION OF THE PARTICLE NUMBER DENSITY EQUATION 605 13.8 DISCRETIZATION OF THE X MOMENTUM EQUATION 605 13.9 DISCRETIZATION OF THE Y MOMENTUM EQUATION 607 13.10 DISCRETIZATION OF THE Z MOMENTUM EQUATION 608 13.11 PRESSURE-VELOCITY COUPLING 608 13.12 STAGGERED X MOMENTUM EQUATION 613 APPENDIX 13.1 HARMONIC AVERAGED DIFFUSION COEFFICIENTS 623 APPENDIX 13.2 OFF-DIAGONAL VISCOUS DIFFUSION TERMS OF THE X MOMENTUM EQUATION 625 APPENDIX 13.3 OFF-DIAGONAL VISCOUS DIFFUSION TERMS OF THE Y MOMENTUM EQUATION R.. 628 APPENDIX 13.4 OFF-DIAGONAL VISCOUS DIFFUSION TERMS OF THE Z MOMENTUM EQUATION 630 REFERENCES 633 APPENDIX 1 BRIEF INTRODUCTION TO VECTOR ANALYSIS 637 APPENDIX 2 BASICS OF THE COORDINATE TRANSFORMATION THEORY 663 TABLE OF CONTENTS XXIII 14 VISUAL DEMONSTRATION OF THE METHOD 715 14.1 MELT-WATER INTERACTIONS 715 14.1.1 CASES 1 TO 4 715 14.1.2 CASES 5, 6 AND 7 721 14.1.3 CASES 8 TO 10 725 14.1.4 CASES 11 AND 12 736 14.1.5 CASE 13 739 14.1.6 CASE 14 740 14.2 PIPE NETWORKS 743 14.2.1 CASE 15 743 14.3 3D STEAM-WATER INTERACTION 745 14.3.1 CASE 16 745 14.4 THREE DIMENSIONAL STEAM-WATER INTERACTION IN PRESENCE OF NON-CONDENSABLE GASES 746 14.4.1 CASE 17 746 14.5 THREE DIMENSIONAL STEAM PRODUCTION IN BOILING WATER REACTOR 748 14.5.1 CASE 18 748 REFERENCES 749 INDEX 751
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owner_facet	DE-91G DE-BY-TUM DE-92 DE-703 DE-20 DE-11
physical	XL, 758 S. Ill., graph. Darst. 1 CD-ROM (12 cm)
publishDate	2007
publishDateSearch	2007
publishDateSort	2007
publisher	Springer
record_format	marc
spellingShingle	Kolev, Nikolay Ivanov 1951- Multiphase flow dynamics
title	Multiphase flow dynamics
title_auth	Multiphase flow dynamics
title_exact_search	Multiphase flow dynamics
title_full	Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev
title_fullStr	Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev
title_full_unstemmed	Multiphase flow dynamics 1 Fundamentals Nikolay I. Kolev
title_short	Multiphase flow dynamics
title_sort	multiphase flow dynamics fundamentals
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016027428&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014569143
work_keys_str_mv	AT kolevnikolayivanov multiphaseflowdynamics1

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Call Number:	0040 CIT 280f 2007 A 8054-1(3) Floor plan
Copy 1	On permanent loan Ausgeliehen – Due: 31.12.9999