Computational methods in chemical engineering with maple:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturangaben |
Beschreibung: | XV, 860 S. graph. Darst. 24 cm |
ISBN: | 9783642043109 |
Internformat
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100 | 1 | |a White, Ralph E. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Computational methods in chemical engineering with maple |c Ralph E. White and Venkat R. Subramanian |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
300 | |a XV, 860 S. |b graph. Darst. |c 24 cm | ||
336 | |b txt |2 rdacontent | ||
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adam_text | CONTENTS 1 INTRODUCTION 1 1.1 INTRODUCTION TO MAPLE 1 1.1.1 GETTING
STARTED WITH MAPLE 1 1.1.2 PLOTTING WITH MAPLE 3 1.1.3 SOLVING LINEAR
AND NONLINEAR EQUATIONS 5 1.1.4 MATRIX OPERATIONS 6 1.1.5 DIFFERENTIAL
EQUATIONS 11 1.1.6 LAPLACE TRANSFORMATIONS 16 1.1.7 DO LOOP 18 1.1.8
WHILE LOOP 19 1.1.9 WRITE DATA OUT EXAMPLE 19 1.1.10 READING IN DATA
FROM A TEXT FILE 23 1.1.11 SUMMARY 24 1.1.12 PROBLEMS 24 REFERENCES 27 2
INITIAL VALUE PROBLEMS 29 2.1 LINEAR ORDINARY DIFFERENTIAL EQUATIONS 29
2.1.1 INTRODUCTION 29 2.1.2 HOMOGENEOUS LINEAR ODES 29 2.1.3 FIRST ORDER
IRREVERSIBLE SERIES REACTIONS 31 EXAMPLE 2.1. IRREVERSIBLE SERIES
REACTIONS (SEE EQUATIONS (2.8)) 32 2.1.4 FIRST ORDER REVERSIBLE SERIES
REACTIONS 37 EXAMPLE 2.2. REVERSIBLE SERIES REACTIONS (SEE EQUATIONS
(2.10)) 38 2.1.5 NONHOMOGENEOUS LINEAR ODES 47 EXAMPLE 2.3. HEATING OF
FLUID IN A SERIES OF TANKS 49 EXAMPLE 2.4. TIME VARYING INPUT TO A CSTR
WITH A SERIES REACTION 56 2.1.6 HIGHER ORDER LINEAR ORDINARY
DIFFERENTIAL EQUATIONS 63 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/997432470 DIGITALISIERT DURCH VIII CONTENTS EXAMPLE 2.5
A SECOND ORDER ODE 65 2.1.7 SOLVING SYSTEMS OF ODES USING THE LAPLACE
TRANSFORM METHOD 72 EXAMPLE 2.6. LAPLACE SOLUTION OF EXAMPLE 2.1
EQUATIONS 73 EXAMPLE 2.7. LAPLACE SOLUTION FOR SECOND ORDER SYSTEM WITH
DIRAC FORCING FUNCTION 76 2.1.8 SOLVING LINEAR ODES USING MAPLE S
DSOLVE COMMAND 80 EXAMPLE 2.8. SOLVING LINEAR ODES USING MAPLE 80
EXAMPLE 2.9. HEAT TRANSFER IN A SERIES OF TANKS, DSOLVE 81 2.1.9
SUMMARY 83 2.1.10 PROBLEMS 84 2.2 NONLINEAR ORDINARY DIFFERENTIAL
EQUATIONS 87 2.2.1 INTRODUCTION 87 EXAMPLE 2.2.1. SIMULTANEOUS SERIES
REACTIONS 88 2.2.2 SOLVING NONLINEAR ODES USING MAPLE S DSOLVE COMMAND
94 2.2.3 SERIES SOLUTIONS FOR NONLINEAR ODES 98 EXAMPLE 2.2.2.
FERMENTATION KINETICS 99 EXAMPLE 2.2.3 101 2.2.4 STOP CONDITIONS 103
EXAMPLE 2.2.4. STOP CONDITIONS 103 2.2.5 STIFF ODES 107 EXAMPLE 2.2.5.
STIFF ORDINARY DIFFERENTIAL EQUATIONS 107 2.2.6 DIFFERENTIAL ALGEBRAIC
EQUATIONS 112 EXAMPLE 2.2.6. DIFFERENTIAL ALGEBRAIC EQUATIONS 112 2.2.7
MULTIPLE STEADY STATES 116 EXAMPLE 2.2.7. MULTIPLE STEADY STATES 117
2.2.8 STEADY STATE SOLUTIONS 124 EXAMPLE 2.2.8. STEADY STATE SOLUTIONS
124 EXAMPLE 2.2.9. PHASE PLANE ANALYSIS 139 2.2.9 SUMMARY 148 2.2.10
PROBLEMS 149 APPENDIX A: MATRIX EXPONENTIAL METHOD 155 APPENDIX B:
MATRIX EXPONENTIAL BY THE LAPLACE TRANSFORM METHOD 161 REFERENCE
CONTENTS DC EXAMPLE 3.3 181 3.1.4 USE OF MATRIZANT IN SOLVING BOUNDARY
VALUE PROBLEMS 184 EXAMPLE 3.4 185 EXAMPLE 3.5 187 EXAMPLE 3.6 189 3.1.5
SYMBOLIC FINITE DIFFERENCE SOLUTIONS FOR LINEAR BOUNDARY VALUE PROBLEMS
195 EXAMPLE 3.7 196 EXAMPLE 3.8. CYLINDRICAL CATALYST PELLET 203 3.1.6
SOLVING LINEAR BOUNDARY VALUE PROBLEMS USING MAPLE S DSOLVE COMMAND 208
EXAMPLE 3.9. HEAT TRANSFER IN A FIN 208 EXAMPLE 3.10. CYLINDRICAL
CATALYST PELLET 209 EXAMPLE 3.11. SPHERICAL CATALYST PELLET 210 3.1.7
SUMMARY 212 3.1.8 EXERCISE PROBLEMS 213 3.2 NONLINEAR BOUNDARY VALUE
PROBLEMS 217 3.2.1 INTRODUCTION 217 3.2.2 SERIES SOLUTIONS FOR NONLINEAR
BOUNDARY VALUE PROBLEMS 218 EXAMPLE 3.2.1. SERIES SOLUTIONS FOR
DIFFUSION WITH A SECOND ORDER REACTION 218 EXAMPLE 3.2.2. SERIES
SOLUTIONS FOR NON-ISOTHERMAL CATALYST PELLET - MULTIPLE STEADY STATES
223 3.2.3 FINITE DIFFERENCE SOLUTIONS FOR NONLINEAR BOUNDARY VALUE
PROBLEMS 229 EXAMPLE 3.2.3. DIFFUSION WITH A SECOND ORDER REACTION 229
3.2.4 SHOOTING TECHNIQUE FOR BOUNDARY VALUE PROBLEM 233 EXAMPLE 3.2.4.
NONLINEAR HEAT TRANSFER 233 EXAMPLE 3.2.5. MULTIPLE STEADY STATES IN A
CATALYST PELLET 238 3.2.5 NUMERICAL SOLUTION FOR BOUNDARY VALUE PROBLEMS
USING MAPLE S DSOLVE COMMAND 244 EXAMPLE 3.2.6. DIFFUSION WITH SECOND
ORDER REACTION 245 EXAMPLE 3.2.7. HEAT TRANSFER WITH NONLINEAR RADIATION
BOUNDAR X CONTENTS 3.2.8 MULTIPLE STEADY STATES 266 EXAMPLE 3.2.13.
MULTIPLE STEADY STATES IN A CATALYST PELLET - RI VS. O 266 3.2.9
EIGENVALUE PROBLEMS 272 EXAMPLE 3.2.14. GRAETZ PROBLEM-FINITE DIFFERENCE
SOLUTION 272 EXAMPLE 3.2.15. GRAETZ PROBLEM-SHOOTING TECHNIQUE 278
3.2.10 SUMMARY 286 3.2.11 EXERCISE PROBLEMS 288 REFERENCES 293 4 PARTIAL
DIFFERENTIAL EQUATIONS IN SEMI-INFINITE DOMAINS 295 4.1 PARTIAL
DIFFERENTIAL EQUATIONS (PDES) IN SEMI-INFINITE DOMAINS 295 4.2 LAPLACE
TRANSFORM TECHNIQUE FOR PARABOLIC PDES 295 EXAMPLE 4.1. HEAT CONDUCTION
IN A RECTANGULAR SLAB 296 EXAMPLE 4.2. HEAT CONDUCTION WITH TRANSIENT
BOUNDARY CONDITIONS 301 EXAMPLE 4.3. HEAT CONDUCTION WITH FLUX BOUNDARY
CONDITIONS 305 EXAMPLE 4.4. HEAT CONDUCTION WITH AN INITIAL PROFILE 308
EXAMPLE 4.5. HEAT CONDUCTION WITH A SOURCE TERM 311 4.3 LAPLACE
TRANSFORM TECHNIQUE FOR PARABOLIC PDES - ADVANCED PROBLEMS 314 EXAMPLE
4.6. HEAT CONDUCTION WITH RADIATION AT THE SURFACE 314 EXAMPLE 4.7.
UNSTEADY STATE DIFFUSION WITH A FIRST-ORDER REACTION 318 4.4 SIMILARITY
SOLUTION TECHNIQUE FOR PARABOLIC PDES 324 EXAMPLE 4.8. HEAT CONDUCTION
IN A RECTANGULAR SLAB 325 EXAMPLE 4.9. LAMINAR FLOW IN A CVD REACTOR 328
4.5 SIMILARITY SOLUTION TECHNIQUE FOR ELLIPTIC PARTIAL DIFFERENTIAL
EQUATIONS 333 EXAMPLE 4.10. STEADY STATE HEAT CONDUCTION IN A PLATE 333
EXAMPLE 4.11. CURRENT DISTRIBUTION IN AN ELECTROCHEMICAL CELL 336 4.
CONTENTS XI 5.1.3 SEMIANALYTICAL METHOD FOR NONHOMOGENEOUS PDES 365
EXAMPLE 5.2 366 EXAMPLE 5.3 374 EXAMPLE 5.4 382 EXAMPLE 5.5 390 EXAMPLE
5.6. SEMIANALYTICAL METHOD FOR THE GRAETZ PROBLEM 401 EXAMPLE 5.7.
SEMIANALYTICAL METHOD FOR PDES WITH KNOWN INITIAL PROFILES 414 5.1.4
SEMIANALYTICAL METHOD FOR PDES IN COMPOSITE DOMAINS 425 EXAMPLE 5.8 425
5.1.5 EXPEDITING THE CALCULATION OF EXPONENTIAL MATRIX 437 EXAMPLE 5.9
438 EXAMPLE 5.10 442 EXAMPLE 5.11 448 5.1.6 SUMMARY 451 5.1.7 EXERCISE
PROBLEMS 452 5.2 NUMERICAL METHOD OF LINES FOR PARABOLIC PARTIAL
DIFFERENTIAL EQUATIONS (PDES) 456 5.2.1 INTRODUCTION 456 5.2.2 NUMERICAL
METHOD OF LINES FOR PARABOLIC PDES WITH LINEAR 456 EXAMPLE 5.2.1.
DIFFUSION WITH SECOND ORDER REACTION 458 EXAMPLE 5.2.2. VARIABLE
DIFFUSIVITY 464 5.2.3 NUMERICAL METHOD OF LINES FOR PARABOLIC PDES WITH
NONLINEAR BOUNDARY 469 EXAMPLE 5.2.3. NONLINEAR RADIATION AT THE SURFACE
470 5.2.4 NUMERICAL METHOD OF LINES FOR STIFF NONLINEAR PDES 474 EXAMPLE
5.2.4. EXOTHERMAL REACTION IN A SPHERE 474 5.2.5 NUMERICAL METHOD OF
LINES FOR NONLINEAR COUPLED PDES 480 EXAMPLE 5.2.5. TWO COUPLED PDES 480
5.2.6 NUMERICAL METHOD OF LINES FOR MOVING BOUNDARY PROBLEMS 491 EXAMPLE
5.2.6. THE SHRINKING CORE MODEL FOR CATALYST REGENERATION 491 5.2.7
SUMMARY 501 5.2.8 EXERCISE PROBLEMS 502 REFERENCE XII CONTENTS 6.1.3
SEMIANALYTICAL METHOD FOR ELLIPTIC PDES IN CYLINDRICAL COORDINATES -
GRAETZ PROBLEM 536 EXAMPLE 6.3. GRAETZ PROBLEM WITH A FIXED WALL
TEMPERATURE 536 6.1.4 SEMIANALYTICAL METHOD FOR ELLIPTIC PDES WITH
NONLINEAR BOUNDARY CONDITIONS 547 EXAMPLE 6.4. NONLINEAR RADIATION
BOUNDARY CONDITION 547 6.1.5 SEMIANALYTICAL METHOD FOR ELLIPTIC PDES
WITH IRREGULAR SHAPES 556 EXAMPLE 6.5. POTENTIAL DISTRIBUTION IN A HULL
CELL 556 6.1.6 NUMERICAL METHOD OF LINES FOR ELLIPTIC PDES IN
RECTANGULAR COORDINATES 564 EXAMPLE 6.6. NUMERICAL SOLUTION FOR HEAT
TRANSFER IN A RECTANGLE 565 EXAMPLE 6.7. NUMERICAL SOLUTION FOR HEAT
TRANSFER FOR NONLINEAR ELLIPTIC PDES 573 6.1.7 SUMMARY 581 REFERENCES
585 7 PARTIAL DIFFERENTIAL EQUATIONS IN FINITE DOMAINS 587 7.1
SEPARATION OF VARIABLES METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS (PDES)
IN FINITE DOMAINS 587 7.1.1 INTRODUCTION 587 7.1.2 SEPARATION OF
VARIABLES FOR PARABOLIC PDES WITH HOMOGENEOUS BOUNDARY CONDITIONS 587
EXAMPLE 7.1. HEAT CONDUCTION IN A RECTANGLE 587 EXAMPLE 7.2. HEAT
CONDUCTION WITH AN INSULATOR BOUNDARY CONDITION 599 EXAMPLE 7.3. MASS
TRANSFER IN A SPHERICAL PELLET 604 7.1.3 SEPARATION OF VARIABLES FOR
PARABOLIC PDES WITH AN INITIAL PROFILE 609 EXAMPLE 7.4. HEAT CONDUCTION
IN A RECTANGLE WITH AN INITIAL PROFILE 609 EXAMPLE 7.5. HEAT CONDUCTION
IN A SLAB WITH A LINEAR INITIAL PROFIL CONTENTS XIII EXAMPLE 7.9.
DIFFUSION IN A SLAB WITH NONHOMOGENEOUS FLUX BOUNDARY CONDITIONS 635
7.1.7 NUMERICAL SEPARATION OF VARIABLES FOR PARABOLIC PDES 643 EXAMPLE
7.10. HEAT TRANSFER IN A RECTANGLE 643 7.1.8 SEPARATION OF VARIABLES FOR
ELLIPTIC PDES 649 EXAMPLE 7.11. HEAT TRANSFER IN A RECTANGLE 649 EXAMPLE
7.12. DIFFUSION IN A CYLINDER 655 EXAMPLE 7.13. HEAT TRANSFER WITH
NONHOMOGENEOUS BOUNDARY CONDITIONS 660 EXAMPLE 7.14. HEAT TRANSFER WITH
A NONHOMOGENEOUS GOVERNING EQUATION 667 7.1.9 SUMMARY 672 7.1.10
EXERCISE PROBLEMS 672 REFERENCES 678 8 LAPLACE TRANSFORM TECHNIQUE FOR
PARTIAL DIFFERENTIAL EQUATIONS 679 8. 1 LAPLACE TRANSFORM TECHNIQUE FOR
PARTIAL DIFFERENTIAL EQUATIONS (PDES) IN FINITE DOMAINS 679 8.1.1
INTRODUCTION 679 8.1.2 LAPLACE TRANSFORM TECHNIQUE FOR HYPERBOLIC PDES
679 EXAMPLE 8.1. WAVE PROPAGATION IN A RECTANGLE 679 EXAMPLE 8.2. WAVE
PROPAGATION IN A RECTANGLE 682 8.1.3 LAPLACE TRANSFORM TECHNIQUE FOR
PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS - SIMPLE SOLUTIONS 685 EXAMPLE
8.3. HEAT TRANSFER IN A RECTANGLE 685 EXAMPLE 8.4. TRANSIENT HEAT
TRANSFER IN A RECTANGLE 688 8.1.4 LAPLACE TRANSFORM TECHNIQUE FOR
PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS - SHORT TIME SOLUTION 690
EXAMPLE 8.5. HEAT TRANSFER IN A RECTANGLE 691 EXAMPLE 8.6. MASS TRANSFER
IN A SPHERICAL PELLET 696 8.1. XIV CONTENTS EXAMPLE 8.13. HEAT
CONDUCTION IN A SLAB WITH RADIATION BOUNDARY CONDITIONS 736 8.1.7
LAPLACE TRANSFORM TECHNIQUE FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
IN CYLINDRICAL COORDINATES 742 EXAMPLE 8.14. HEAT CONDUCTION IN A
CYLINDER 742 8.1.8 LAPLACE TRANSFORM TECHNIQUE FOR PARABOLIC PARTIAL
DIFFERENTIAL EQUATIONS FOR TIME DEPENDENT BOUNDARY CONDITIONS - USE OF
CONVOLUTION THEOREM 747 EXAMPLE 8.15. HEAT CONDUCTION IN A RECTANGLE
WITH A TIME DEPENDENT BOUNDARY CONDITION 748 8.1.9 SUMMARY 755 8.1.10
EXERCISE PROBLEMS 755 REFERENCES 760 9 PARAMETER ESTIMATION 761 9.1
INTRODUCTION 761 9.2 LEAST SQUARES METHOD 762 9.2.1 SUMMATION FORM OR
CLASSICAL FORM 769 9.2.2 CONFIDENCE INTERVALS: CLASSICAL APPROACH 775
9.2.3 PREDICTION OF NEW OBSERVATIONS 776 9.2.4 A ONE PARAMETER THROUGH
THE ORIGIN MODEL 777 9.3 NONLINEAR LEAST SQUARES 778 EXAMPLE 9.1.
PARAMETER ESTIMATION 783 9.4 HESSIAN MATRIX APPROACH 789 9.5 CONFIDENCE
INTERVALS 795 9.6 SENSITIVITY COEFFICIENT EQUATIONS 797 9.7 ONE
PARAMETER MODEL 807 9.8 TWO PARAMETER MODEL 812 9.9 EXERCISE PROBLEMS
819 REFERENCES 819 10 MISCELLANEOUS TOPICS 821 10.1 MISCELLANEOUS TOPICS
ON NUMERICAL METHODS 821 10.1.1 INTRODUCTION 821 10.1.2 ITERATIVE FINITE
DIFFERENCE SOLUTION FOR BOUNDARY VALUE PROBLEMS 821 EXAMPL CONTENTS XV
10.1.5 NUMERICAL METHOD OF LINES FOR FIRST ORDER HYPERBOLIC PDES 838
EXAMPLE 10.6. WAVE PROPAGATION IN A RECTANGLE WITH CONSISTENT
INITIAL/BOUNDARY CONDITIONS 839 EXAMPLE 10.7. WAVE PROPAGATION IN A
RECTANGLE WITH INCONSISTENT INITIAL/BOUNDARY CONDITIONS....844 10.1.6
NUMERICAL METHOD OF LINES FOR SECOND ORDER HYPERBOLIC PDES 848 EXAMPLE
10.8. WAVE EQUATION WITH CONSISTENT INITIAL/BOUNDARY CONDITIONS 848
EXAMPLE 10.9. WAVE EQUATION WITH INCONSISTENT INITIAL/BOUNDARY
CONDITIONS 852 10.1.7 SUMMARY 855 10.1.8 EXERCISE PROBLEMS 855
REFERENCES 856 SUBJECT INDEX 857
|
any_adam_object | 1 |
author | White, Ralph E. Subramanian, Venkat R. |
author_facet | White, Ralph E. Subramanian, Venkat R. |
author_role | aut aut |
author_sort | White, Ralph E. |
author_variant | r e w re rew v r s vr vrs |
building | Verbundindex |
bvnumber | BV036486481 |
classification_rvk | SK 950 VN 7030 |
ctrlnum | (OCoLC)612396461 (DE-599)DNB997432470 |
dewey-full | 660.028553 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 660 - Chemical engineering |
dewey-raw | 660.028553 |
dewey-search | 660.028553 |
dewey-sort | 3660.028553 |
dewey-tens | 660 - Chemical engineering |
discipline | Chemie / Pharmazie Informatik Mathematik |
format | Book |
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id | DE-604.BV036486481 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:41:26Z |
institution | BVB |
isbn | 9783642043109 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020409164 |
oclc_num | 612396461 |
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owner_facet | DE-92 DE-634 DE-83 |
physical | XV, 860 S. graph. Darst. 24 cm |
publishDate | 2010 |
publishDateSearch | 2010 |
publishDateSort | 2010 |
publisher | Springer |
record_format | marc |
spelling | White, Ralph E. Verfasser aut Computational methods in chemical engineering with maple Ralph E. White and Venkat R. Subramanian Berlin [u.a.] Springer 2010 XV, 860 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Chemische Verfahrenstechnik (DE-588)4069941-9 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Chemische Verfahrenstechnik (DE-588)4069941-9 s Mathematisches Modell (DE-588)4114528-8 s Maple Programm (DE-588)4209397-1 s DE-604 Subramanian, Venkat R. Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-04311-6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | White, Ralph E. Subramanian, Venkat R. Computational methods in chemical engineering with maple Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Maple Programm (DE-588)4209397-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
subject_GND | (DE-588)4069941-9 (DE-588)4209397-1 (DE-588)4114528-8 |
title | Computational methods in chemical engineering with maple |
title_auth | Computational methods in chemical engineering with maple |
title_exact_search | Computational methods in chemical engineering with maple |
title_full | Computational methods in chemical engineering with maple Ralph E. White and Venkat R. Subramanian |
title_fullStr | Computational methods in chemical engineering with maple Ralph E. White and Venkat R. Subramanian |
title_full_unstemmed | Computational methods in chemical engineering with maple Ralph E. White and Venkat R. Subramanian |
title_short | Computational methods in chemical engineering with maple |
title_sort | computational methods in chemical engineering with maple |
topic | Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Maple Programm (DE-588)4209397-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
topic_facet | Chemische Verfahrenstechnik Maple Programm Mathematisches Modell |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020409164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT whiteralphe computationalmethodsinchemicalengineeringwithmaple AT subramanianvenkatr computationalmethodsinchemicalengineeringwithmaple |