Current distributions and electrode shape changes in electrochemical systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1992
|
| Schriftenreihe: | Lecture notes in engineering
75 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 224 - 242 |
| Beschreibung: | XV, 281 S. graph. Darst. |
| ISBN: | 3540551042 0387551042 |
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Datensatz im Suchindex
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LECTURE NOTES IN ENGINEERING EDITED BY C. A. BREBBIA AND S. A. ORSZAG 75
J. DECONINCK CURRENT DISTRIBUTIONS AND ELECTRODE SHAPE CHANGES IN
ELECTROCHEMICAL SYSTEMS SPRINGER-VERLAG BERLIN HEIDELBERG NEW YORK
LONDON PARIS TOKYO HONG KONG BARCELONA BUDAPEST CONTENTS. NOMENCLATURE
CHAPTER 1. THE CURRENT DISTRIBUTION IN ELECTRO- CHEMICAL SYSTEMS 1.1.
INTRODUCTION 1 1.2. THE ELECTRODE-ELECTROLYTE INTERPHASE 2 1.2.1. THE
EQUILIBRIUM SITUATION 2 1.2.2. ELECTRODE REACTIONS 4 1.2.3. THE
ACTIVATION OVERPOTENTIAL N 6 1.3. TRANSPORT EQUATIONS IN DILUTE
SOLUTIONS 9 1.3.1. THE FLUX OF A DISSOLVED SPECIES 9 1.3.2. THE CURRENT
DENSITY 11 1.3.3. CONSERVATION OF MASS 11 1.3.4-. THE POISSON EQUATION
OR ELECTRONEUTRALI- TY 12 1.3.5. THE CONTINUITY EQUATION 13 1.3.6. THE
NAVIER-STOKES EQUATION 13 1.4. SOLUTION OF THE TRANSPORT EQUATIONS IN
DI- LUTE SOLUTIONS 14- 1.4.1. BASIC SYSTEM OF EQUATIONS 14 1.4.2. THE
POTENTIAL MODEL 17 1.4.3. THE CONCENTRATION OVERPOTENTIAL N 20 1.5. THE
BOUNDARY CONDITIONS OF THE POTENTIAL MODEL 22 1.5.1. THE BOUNDARY
CONDITION ON-THE WALLS 22 1.5.2. THE BOUNDARY CONDITIONS ON THE ELECTRO-
DES 23 1.5.3. ADDITIONAL BOUNDARY CONDITIONS 27 1.5.3.1. RESISTIVE
ELECTRODES 27 1.5.3.2. RESISTANCE INVOLVED BY COATINGS 29 1.6. TYPES OF
CURRENT DISTRIBUTIONS 30 1.6.1. INTRODUCTION 30 1.6.2. THE PRIMARY
DISTRIBUTION 31 1.6.3. THE SECONDARY DISTRIBUTION 33 1.6.4. THE TERTIARY
DISTRIBUTION 35 1.6.4.1. DISTRIBUTION OVER MICROPROFILES 36 1.6.4.2.
DISTRIBUTION OVER MACROPROFILES 37 VII 1.7. THE WAGNER NUMBER 38 1.8.
ELECTRODE SHAPE CHANGE 4-4 1.8.1. FARADAY'S LAW 4.4. 1.8.2. THE CURRENT
EFFICIENCY 4-6 1.8.3. MOVING BOUNDARIES AND ELECTROCHEMICAL MACHINING
4-6 1.8.4. EQUATIONS TO SOLVE 47 1.8.5. ELECTRODE SHAPE CHANGE BETWEEN
PARALLEL ELECTRODES 49 1.8.6. ELECTROCHEMICAL MACHINING BETWEEN PLANE
PARALLEL ELECTRODES 52 1.9. CONCLUSION 54 CHAPTER 2. SOLUTION OF THE
POTENTIAL MODEL 2.1. INTRODUCTION 56 2.2. HYPOTHESES AND DEFINITIONS 56
2.3. WEIGHTED RESIDUAL STATEMENTS FOR THE LA- PLACE EQUATION 58 2.4.
SOLUTION OF CURRENT DISTRIBUTIONS WITH TRIAL FUNCTIONS SATISFYING THE
FIELD EQUA- TIONS 63 2.5. SOLUTION OF CURRENT DISTRIBUTIONS WITH TRIAL
FUNCTIONS NOT SATISFYING THE FIELD EQUATIONS 65 2.5.1. THE FINITE
DIFFERENCE METHOD 66 2.5.2. THE FINITE ELEMENT METHOD 66 2.5.3. THE
NEWTON-RAPHSON ITERATION ASSOCIATED WITH THE FINITE ELEMENT METHOD 68
2.5.4. THE METHOD OF STRAIGHT LINES 69 2.6. SOLUTION OF CURRENT
DISTRIBUTIONS BASED ON WEIGHT FUNCTIONS SATISFYING THE FIELD EQUA- TION
70 2.6.1. THE BOUNDARY ELEMENT METHOD 70 2.6.2. THE NEWTON-RAPHSON
ITERATION PROCESS IN BOUNDARY ELEMENTS 79 2.7. THE PHYSICAL
INTERPRETATION OF THE INTEGRAL EQUATION 81 2.7.1. THE POTENTIAL
GENERATED BY A CHARGED SURFACE 81 2.7.2. THE POTENTIAL GENERATED BY A
DOUBLE SOURCE DENSITY ON A SURFACE 83 2.7.3. GREEN'S FORMULA AND SOURCE
DISTRIBUTIONS 85 VIII 2.8. THE OUTER NORMAL CONVENTION. 86 2.9. INDIRECT
AND REGULAER BOUNDARY METHODS 87 2.10. COMPARISON OF THE TREATED WEIGHTED
RESI- DUAL METHODS 89 2.11. SOLUTION OF CURRENT DISTRIBUTIONS BY
ELECTRIC SIMULATION 91 2.12. CONCLUSION 92 CHAPTER 3. THE BOUNDARY
ELEMENT METHOD TO SOLVE CURRENT DISTRIBUTIONS 3.1. INTRODUCTION 94- 3.2.
CONCRETIZATION OF THE BOUNDARY ELEMENT METHOD 94- 3.2.1. CHOICE OF USED
ELEMENTS 94 3.2.1.1. TWO-DIMENSIONAL PROBLEMS 95 3.2.1.2.
THREE-DIMENSIONAL AXISYMMETRIC PROBLEMS 106 3.2.2. COMBINATION OF
REGIONS 111 3.3. THE OVERVOLTAGE EQUATIONS 118 3.3.1. THE BUTLER-VOLMER
EQUATION 118 3.3.2. THE CONCENTRATION OVERPOTENTIAL 119 3.3.3. LINEAR
AND MEASURED OVERPOTENTIALS 120 3.4-. SOLUTION OF THE NON-LINEAR SYSTEM
OF EQUA- TIONS 120 3.4-.1. SOLUTION OF THE LINEAR SYSTEM OF EQUA- TIONS
120 3.4-.2. ITERATION TECHNIQUES FOR NON-LINEAR SYS- TEMS 121 3.4-.2.1.
THE SUCCESSIVE SUBSTITUTION METHOD 121 3. 4-. 2. 2. THE NEWTON-RAPHSON
ITERATION METHOD - GLOBAL CONVERGENCE CONDITIONS 122 3.4-.2.3.
CONVERGENCE CRITERIA 124- 3.4-.2.4-. A NEWTON-RAPHSON ITERATION VERSUS A
SUCCESSIVE SUBSTITUTION 125 3.5. EXAMPLES 130 3.5.1. THE" HULL-CELL 130
3.5.2. THE INFLUENCE OF OVERPOTENTIALS OEN SINGU- LARITIES 133 3.5.3.
INDUSTRIAL PRODUCTION-TYPE CELLS 138 3.5.3.1. TWO-DIMENSIONAL CELL
COMPOSED OF AN ELECTRODE WITH OPEN PART AND SEPARATOR 138 3.5.3.2. A
CHLORINE PRODUCTION CELL 141 3.5.4-. CURRENT DISTRIBUTION IN A CIRCULAR
HOLE 14-3 IX 3.6. COPPER ELECTROREFINING: NUMERICAL AND EXPE- RIMENTAL
RESULTS 14-6 3.6.1. ELECTROCHEMICAL DATA 146 3.6.1.1. THE ELECTROLYTIC
SOLUTION 146 3.6.1.2. THE OVERVOLTAGES 148 3.6.2. THE CELL GEOMETRY 149
3.6.3. THE MEASURING EQUIPMENT 152 3.6.4. THE EXPERIMENTAL PROCEDURE 154
3.6.5. EXPERIMENTAL RESULTS 154 3.6.5.1. MEASUREMENT 1: 6 CM
INTERELECTRODE DIS- TANCE 154 3.6.5.2. MEASUREMENT 2: 12 CM
INTERELECTRODE DIS- TANCE 155 3.6.6. COMPARISON WITH CALCULATIONS 156
3.7. CONCLUSION 162 CHAPTER 4. ELECTRODE SHAPE CHANGE 4.1. INTRODUCTION
164 4.2. THE DISCRETIZATION WITH RESPECT TO TIME 165 4.2.1. THE EULER
METHOD 166 4.2.1.1. CONVERGENCE AND ACCURACY 166 4.2.1.2. STABILITY 174
4.2.2. HIGHER-ORDER INTEGRATION SCHEMES 182 4.2.2.1. THE
PREDICTOR-CORRECTOR METHOD (HEUN) 183 4.3. THE ELECTRODE SHAPE CHANGE
ALGORITHM 184 4.3.1. ELECTRODEPOSITION 184 4.3.1.1. ELECTRODE NEXT TO AN
INSULATOR: INTER- NAL ANGLE TT/2 1 86 4.3.1.2. ELECTRODE NEXT TO AN
INSULATOR: INTER- NAL ANGLE ^ TT/2 188 4.3.2. ELECTRODE DISSOLUTION 189
4.3.3. ELECTROCHEMICAL MACHINING 190 4.4. EXAMPLES 191 4.4.1.
ELECTRODEPOSITION IN A HULL-CELL 191 4.4.2. DEPOSITION AND DISSOLUTION
IN A CELL WITH SINUSOIDAL PROFILE 193 4.4.3. ANODIC LEVELING AND
ELECTROCHEMICAL MA- CHINING IN A CELL WITH IRREGULAER SHAPE 196 4.4.4.
ECM IN A CELL WITH HEMISPHERICAL CATHODE 199 4.4.5. CONCLUSION: COMMENTS
ON THE EFFICIENCY OF THE BEM 200 4.5. ELECTRODEPOSITION AND ELECTRODE
DISSOLUTION IN COPPER ELECTROREFINING. NUMERICAL AND EXPERIMENTAL
RESULTS 200 4.5.1. ELECTROCHEMICAL DATA 200 X 4.5.2. THE CELL GEOMETRY
200 4.5.3. THE MEASURING EQUIPMENT 203 4.5.4-. THE EXPERIMENTAL
PROCEDURE 205 4.5.5. EXPERIMENTAL RESULTS AND COMPARISON WITH
CALCULATIONS 205 4.5.6. THE INFLUENCE OF A SCREEN 219 4.6. CONCLUSION
219 CHAPTER 5. GENERAL CONCLUSION 221 REFERENCES 224 APPENDICES A.1.1
PRIMARY CURRENT DISTRIBUTION ALONG A FREE CATHODE IN PARALLEL WITH AN
ANODE AND PER- PENDICULAR TO AN INSULATING BOUNDARY 243 A.1.2 PRIMARY
CURRENT DISTRIBUTION ALONG AN L- SHAPED CATHODE 247 A.1.3 PRIMARY
CURRENT DISTRIBUTION ALONG A CA- THODE BEING IN LINE WITH AN INSULATING
BOUNDARY 251 A.2 SOLUTION OF THE POTENTIAL MODEL USING TRIAL FUNCTIONS
SATISFYING THE FIELD EQUATION : EXAMPLE 255 A.3.1 ANALYTIC INTEGRATION
OF INTEGRALS INVOL- VED BY THE TWO-DIMENSIONAL BOUNDARY ELE- MENT METHOD
USING STRAIGHT ELEMENTS 257 A.3.2 EVALUATION OF INTEGRALS INVOLVED BY
THE BOUNDARY ELEMENT METHOD USED TO SOLVE AXISYMMETRIC POTENTIAL
PROBLEMS 267 A.4 THE GLOBAL NEWTON CONVERGENCE OF THE PO- TENTIAL
PROBLEM WITH NON-LINEAR BOUNDARY CONDITIONS 276 |
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| institution | BVB |
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| series | Lecture notes in engineering |
| series2 | Lecture notes in engineering |
| spelling | Deconinck, Johan Verfasser aut Current distributions and electrode shape changes in electrochemical systems J. Deconinck Berlin [u.a.] Springer 1992 XV, 281 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in engineering 75 Literaturverz. S. 224 - 242 Electrochemistry Electrodes Deformation (DE-588)4070262-5 gnd rswk-swf Elektrochemisches Verfahren (DE-588)4151772-6 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Stromverteilung (DE-588)4183760-5 gnd rswk-swf Elektrochemisches System (DE-588)4151771-4 gnd rswk-swf Elektrode (DE-588)4014247-4 gnd rswk-swf Elektrochemisches System (DE-588)4151771-4 s Stromverteilung (DE-588)4183760-5 s Elektrode (DE-588)4014247-4 s DE-604 Elektrochemisches Verfahren (DE-588)4151772-6 s Randelemente-Methode (DE-588)4076508-8 s Deformation (DE-588)4070262-5 s Lecture notes in engineering 75 (DE-604)BV000897100 75 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003928989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Deconinck, Johan Current distributions and electrode shape changes in electrochemical systems Lecture notes in engineering Electrochemistry Electrodes Deformation (DE-588)4070262-5 gnd Elektrochemisches Verfahren (DE-588)4151772-6 gnd Randelemente-Methode (DE-588)4076508-8 gnd Stromverteilung (DE-588)4183760-5 gnd Elektrochemisches System (DE-588)4151771-4 gnd Elektrode (DE-588)4014247-4 gnd |
| subject_GND | (DE-588)4070262-5 (DE-588)4151772-6 (DE-588)4076508-8 (DE-588)4183760-5 (DE-588)4151771-4 (DE-588)4014247-4 |
| title | Current distributions and electrode shape changes in electrochemical systems |
| title_auth | Current distributions and electrode shape changes in electrochemical systems |
| title_exact_search | Current distributions and electrode shape changes in electrochemical systems |
| title_full | Current distributions and electrode shape changes in electrochemical systems J. Deconinck |
| title_fullStr | Current distributions and electrode shape changes in electrochemical systems J. Deconinck |
| title_full_unstemmed | Current distributions and electrode shape changes in electrochemical systems J. Deconinck |
| title_short | Current distributions and electrode shape changes in electrochemical systems |
| title_sort | current distributions and electrode shape changes in electrochemical systems |
| topic | Electrochemistry Electrodes Deformation (DE-588)4070262-5 gnd Elektrochemisches Verfahren (DE-588)4151772-6 gnd Randelemente-Methode (DE-588)4076508-8 gnd Stromverteilung (DE-588)4183760-5 gnd Elektrochemisches System (DE-588)4151771-4 gnd Elektrode (DE-588)4014247-4 gnd |
| topic_facet | Electrochemistry Electrodes Deformation Elektrochemisches Verfahren Randelemente-Methode Stromverteilung Elektrochemisches System Elektrode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003928989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000897100 |
| work_keys_str_mv | AT deconinckjohan currentdistributionsandelectrodeshapechangesinelectrochemicalsystems |