Membrane filtration: a problem solving approach with MATLAB
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2013
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XVII, 327 S. Ill., graph. Darst. |
| ISBN: | 9781107028746 9781107627468 |
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| 245 | 1 | 0 | |a Membrane filtration |b a problem solving approach with MATLAB |c Greg Foley |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2013 | |
| 300 | |a XVII, 327 S. |b Ill., graph. Darst. | ||
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| adam_text |
'.truly a most comprehensive, interesting and effective approach to
this topic. The writing style is engaging, difficult concepts are explained
with a clarity that is enviable and the coverage of the topics is quite
comprehensive.'
Dr Dennot
M.
Materne,
University
CoUege Diihlin
'1
enjoyed reading this book.rigorous yet easily understandable, with
many clarify ing examples and problems.'
Miroslav Bkar,
Slovak University ofTechmk
locusingon the application of membranes in an engineering context,
this hands-on computational guide makes previously challenging
problems routine. It formulates problems as systems of equations solved
with
Млі і ЛК,
encouraging active learning through worked examples and
end-of-chapter problems.
lhe
detailed treatments of dead-end nitration include novel
approaches to constant rate filtration and filtration with a centrifugal
pump. The discussion of crossflow microtiltration includes the use
of kinetic and force balance models. Comprehensive coverage of
ultrafiltration and diafiltration processes employs both limiting flux and
osmotic pressure models. The effect of fluid viscosity on the mass transfer
coefficient is explored in detail; the effects of incomplete rejection on
the design and analysis ofultrafiltration anddiaftltration are analysed;
and quantitative treatments of reverse osmosis and nanofiltration process
anak sis and design are explored. Includes a chapter dedicated to the
modelling of membrane fouling.
i isa
Lecturer at Dublin City University, with over
25
vears'
experience of teaching all aspects of chemical and
bioprocess
engi nee ri ng.
He is a dedicated educator, who has been nominated for the DCU
President's Award for Excellence in Teaching on numerous occasions.
Contents
Preface
page
χν
Abbreviations
xviii
Introduction to membrane filtration of liquids
ι
1.1
Introduction
1
1.2
Definitions and terminology
3
1.2.1
Dead-end and crossflow configurations
3
1.2.2
Key process parameters in membrane filtration
6
1.2.3
Solute and particle rejection
7
1.3
Membranes and their properties
9
1.3.1
Membrane materials
9
1.3.2
Membrane morphology
9
1.4
Membrane modules
10
1.4.1
Flat sheet and spiral wound modules
10
1.4.2
Shell-and-tube modules
И
1.4.3
Stirred cells
12
1.5
Flux characteristics in membrane filtration
12
1.5.1
Dead-end filtration
12
1.5.2
Crossflow configuration
13
1.6
Conclusions
14
References
15
Additional reading
15
Dead-end filtration
16
2.1
Introduction to dead-end filtration
16
2.2
The filtrate flux equation
17
2.3
The specific cake resistance
19
2.3.1
Cake compressibility
19
2.3.2
Effects of particle and liquid properties
23
2.3.3
Filteraids
24
2.4
Analysis and design of batch dead-end filtration
25
2.4.1
Analysis and design of batch
DEF
at constant pressure
26
2.4.2
Analysis of batch
DEF
at constant filtrate flux
31
viii Contents
2 4 3
Analysis of batch
DEF
with a centrifugal pump
34
2.5
Continuous filtration
2.6
Modelling product transmission in
DEF
39
2.7
Conclusions
References
Problems 43
45
Further problems
Crossflow microfiltration 48
3.1
Introduction 48
до
3.2
Modes of operation
3.3
Flux characteristics during continuous operation 49
3.4
Theories of crossflow microfiltration
-*
3.4.1
Concentration polarisation and shear-induced diffusion
51
3.4.2
The force balance approach -*3
3.4.3
The spatial dependence of the flux
"
3.5
A simple kinetic model of CFMF
-*/
3.5.1
Steady state behaviour
-*"
3.5.2
Dynamic behaviour °0
3.5.3
Constant flux operation "^
3.5.4
Linking the kinetic model with force balance theory
65
3.5.5
Flux dynamics with a transition flux °7
3.6
Process design and analysis °8
3.6.1
Analysis of a continuous feed-and-bleed system
69
3.6.2
Modelling the dynamics of batch CFMF ™
3.6.3
Fed-batch operation
""
3.7
Cake properties in CFMF 78
3.8
Improving the flux
80
3.8.1
Backflushing 81
3.8.2
Crossflushing 82
3.8.3
Air sparging 8^
3.9
Product recovery in CFMF ^
3.10
Conclusions 8^
References
8^
Problems
85
Further problems
86
Ultrafiltration
flux theories
88
4.1
Introduction
88
4.2
Concentration polarisation
89
4.3
Prediction of mass transfer coefficients 90
4.3.1
Prediction of diffusion coefficients 93
4.3.2
Prediction of solution viscosity
95
Contents ix
4.4
The limiting flux (LF) model
98
4.5
The osmotic pressure (OP) model
103
4.5.1
Flux characteristics predicted by the osmotic pressure model
106
4.6
The osmotic pressure model with viscosity effects
109
4.6.1
Is the VOP model 'correct'?
114
4.7
Conclusions
116
References
116
Problems
117
Further problems
119
Ultrafiltration
process analysis and design at the limiting flux
120
5.1
Introduction
120
5.2
Continuous feed-and-bleed ultrafiltration
120
5.2.1
Analysis of a single-stage system
122
5.2.2
Analysis of a multi-stage system
122
5.2.3
Analysis of a multi-stage system using ordinary differential
equations
124
5.2.4
Analysis of a multi-stage system using a graphical method
125
5.2.5
Design of a single-stage system
127
5.2.6
Design of a multi-stage system with equal areas
128
5.2.7
Optimisation of multi-stage systems
129
5.2.8
Design with viscosity dependent mass transfer coefficient
13
1
5.3
Batch ultrafiltration
132
5.3.1
Calculation of final conditions for a fixed time
134
5.3.2
Calculation of batch time by solution of governing ODE
136
5.3.3
Calculation of batch time using special functions
137
5.3.4
Approximate methods for calculating the batch time
139
5.4
Fed-batch operation
141
5.5
Single pass operation
144
5.5.1
Single pass analysis with viscosity independent mass transfer
coefficient
144
5.5.2
Single pass analysis with viscosity dependent mass transfer
coefficient
146
5.5.3
Single pass design with constant mass transfer coefficient
146
5.6
Membrane fouling and limiting flux operation
147
5.7
Conclusions
148
References
148
Problems
149
Further problems
150
Diafiltration
at the limiting flux
152
6.1
Introduction
152
6.2
Discontinuous diafiltration
152
Contents
u.a.
ι
Volume
reduction method
152
6.2.2
Dilution method
157
6.3
Constant volume diafiltration
160
6.3.1
Water consumption in CVD
161
6.3.2
Time taken for CVD
163
6.3.3 Ultrafiltration
with constant volume diafiltration (UFCVD)
163
6.3.4
UFCVD time optimisation with viscosity dependent mass transfer
coefficient
165
6.3.5
Economic optimisation of UFCVD
167
6.3.6
Economic optimisation with viscosity dependent mass transfer
coefficient
169
6.3.7
Optimisation of UFCVD when cA{
<
cAopX I"70
6.4
Dynamic modelling of UFDF processes
172
6.4.1
Dynamic modelling of UFCVD
173
6.4.2
Dynamic modelling of variable volume diafiltration
(VVD)
176
6.4.3
Generalised
VVD
processes and dynamic optimisation
179
6.4.4
Diafiltration of suspensions
180
6.5
Continuous diafiltration
184
6.5.1
Two-stage continuous UFDF
6.5.2
Counter-current diafiltration
6.6
Dialysis
187
6.7
Conclusions
190
References
190
Additional reading
191
Problems
191
Further problems
193
Ultrafiltration
and diafiltration with incomplete rejection
194
7.1
Introduction
194
7.2
Quantifying rejection
194
7.3
Concentration polarisation
196
7.4
Flux dependence of the apparent rejection coefficient
196
7.5
Continuous feed-and-bleed ultrafiltration
197
7.5.1
Analysis and design of a single-stage system
198
7.5.2
Solving single-stage problems using a graphical method
199
7.5.3
Analysis and design of two-stage systems
201
7.6
Batch ultrafiltration
202
7.6.1
Batch UF with constant apparent rejection
203
7.6.2
Batch UF with constant intrinsic rejection
205
7.7
Fed-batch ultrafiltration
206
7.8
Single pass ultrafiltration
207
7.9
Constant volume diafiltration
209
7.9.1
Computation of diafiltration time
21
1
Contents xi
7.9.2 UFCVD
with arbitrary rejection
coefficients
212
7.9.3
Dynamic modelling of UFCVD
214
7.9.4
Optimisation of UFCVD with arbitrary rejection coefficients
216
7.10
Variable volume diafiltration
218
7.11
Conclusions
219
References
220
Additional reading
220
Problems
220
Further problems
222
8
The osmotic pressure model applied to
Ultrafiltration
and diafiltration
223
8.1
Introduction
223
8.2
Analysis and design of continuous feed-and-bleed UF
224
8.2.1
Analysis and design of single-stage systems
224
8.2.2
Multi-stage systems
225
8.3
Dynamic modelling of batch UF
226
8.3.1
Batch UF with constant mass transfer coefficient
227
8.3.2
Batch UF with viscosity dependent mass transfer coefficient
229
8.4
Fed-batch ultrafiltration
231
8.5
Single pass ultrafiltration
233
8.6
Constant volume diafiltration
235
8.6.1
Optimisation of UFCVD-constant mass transfer coefficient
235
8.6.2
Optimisation of UFCVD
-
viscosity dependent mass transfer
coefficient
237
8.7
Ultrafiltration with constant wall concentration
238
8.8
The osmotic pressure model with incomplete rejection
240
8.8.1
Single-stage feed-and-bleed UF
242
8.8.2
Dynamic modelling of batch UF
243
8.8.3
Constant volume diafiltration
245
8.9
Product transmission in CFMF
247
8.10
Conclusions
249
References
250
Additional reading
250
Problems
250
Further problems
251
9
Reverse osmosis and nanofiltration
253
9.1
Introduction to reverse osmosis
253
9.2
Reverse osmosis theory
254
9.2.1
Combining RO theory with concentration polarisation theory
257
9.3
Predicting osmotic pressures
258
9.4
Process configurations in RO
259
9.5
Analysis of a continuous feed-and-bleed system
260
Contents
9.6
Analysis of a single pass system
9.7
Reverse osmosis software
9.8
Introduction to nanofiltration
9.9
Nanofiltration theory
9.10
Fed-batch nanofiltration
9.11
Conclusions 27°
References
Additional reading
Problems
Further problems
"
~
10
Membrane fouling
10.1
Introduction 273
10.1.1
The'blocking'view of fouling
273
10.1.2
Empirical modelling 275
10.2
Dead-end filtration 275
10.2.1
Incompressible cakes
276
10.2.2
Compressible cakes 277
10.3
Crossflow microfiltration
279
10.3.1
The apparent specific resistance
Δ
Iy
10.4
Ultrafiltration 283
10.4.1
Membrane fouling and the limiting flux
284
10.4.2
Flux dynamics at constant composition 28:>
10.4.3
Dynamics of continuous feed-and-bleed UF
288
10.4.4
Constant volume diafiltration
290
10.4.5
Ultrafiltration with constant volume diafiltration (UFCVD)
292
10.5
Reverse osmosis and nanofiltration
295
10.6
Conclusions
296
References
296
Problems
297
Further problems
298
Appendix: Mathematical and computational background
299
A.
1
Introduction
299
A.2 Calculus and symbolic computation
299
A.
2.1
Differentiation
300
A.2.
2
Series approximations to functions
303
A.2.3 Integration
304
A.3 Numerical solution of non-linear algebraic equations
306
A.
3.1
The Newton-Raphson method
306
A.4 Numerical solution of ordinary differential equations
310
A.4.
1
Euler's method for numerical solution of an ODE
310
A.4.2 Solution of systems of ODEs with the
MATLAB
function ode45
312
Contents xiii
A.4.3 Differential
algebraic equations
314
Α.
5
Numerical integration
315
A.
6
Numerical differentiation
316
A.
7
Non-linear regression
318
A.
8
Conclusion
319
Further reading
319
Practice problems
320
Index
323 |
| any_adam_object | 1 |
| author | Foley, Greg 1963-2022 |
| author_GND | (DE-588)1356740642 |
| author_facet | Foley, Greg 1963-2022 |
| author_role | aut |
| author_sort | Foley, Greg 1963-2022 |
| author_variant | g f gf |
| building | Verbundindex |
| bvnumber | BV041215861 |
| classification_rvk | VE 7100 VN 7190 |
| ctrlnum | (OCoLC)862798919 (DE-599)BVBBV041215861 |
| discipline | Chemie / Pharmazie |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV041215861 |
| illustrated | Illustrated |
| indexdate | 2025-02-19T17:43:00Z |
| institution | BVB |
| isbn | 9781107028746 9781107627468 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026190497 |
| oclc_num | 862798919 |
| open_access_boolean | |
| owner | DE-703 DE-83 |
| owner_facet | DE-703 DE-83 |
| physical | XVII, 327 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Foley, Greg 1963-2022 Verfasser (DE-588)1356740642 aut Membrane filtration a problem solving approach with MATLAB Greg Foley 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2013 XVII, 327 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Technische Membran (DE-588)4296416-7 gnd rswk-swf Membranfiltration (DE-588)4169395-4 gnd rswk-swf Trennverfahren (DE-588)4078395-9 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Membranverfahren (DE-588)4231727-7 gnd rswk-swf Chemische Verfahrenstechnik (DE-588)4069941-9 gnd rswk-swf Membranfiltration (DE-588)4169395-4 s DE-604 Chemische Verfahrenstechnik (DE-588)4069941-9 s Membranverfahren (DE-588)4231727-7 s MATLAB (DE-588)4329066-8 s Technische Membran (DE-588)4296416-7 s Trennverfahren (DE-588)4078395-9 s Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190497&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190497&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Foley, Greg 1963-2022 Membrane filtration a problem solving approach with MATLAB Technische Membran (DE-588)4296416-7 gnd Membranfiltration (DE-588)4169395-4 gnd Trennverfahren (DE-588)4078395-9 gnd MATLAB (DE-588)4329066-8 gnd Membranverfahren (DE-588)4231727-7 gnd Chemische Verfahrenstechnik (DE-588)4069941-9 gnd |
| subject_GND | (DE-588)4296416-7 (DE-588)4169395-4 (DE-588)4078395-9 (DE-588)4329066-8 (DE-588)4231727-7 (DE-588)4069941-9 |
| title | Membrane filtration a problem solving approach with MATLAB |
| title_auth | Membrane filtration a problem solving approach with MATLAB |
| title_exact_search | Membrane filtration a problem solving approach with MATLAB |
| title_full | Membrane filtration a problem solving approach with MATLAB Greg Foley |
| title_fullStr | Membrane filtration a problem solving approach with MATLAB Greg Foley |
| title_full_unstemmed | Membrane filtration a problem solving approach with MATLAB Greg Foley |
| title_short | Membrane filtration |
| title_sort | membrane filtration a problem solving approach with matlab |
| title_sub | a problem solving approach with MATLAB |
| topic | Technische Membran (DE-588)4296416-7 gnd Membranfiltration (DE-588)4169395-4 gnd Trennverfahren (DE-588)4078395-9 gnd MATLAB (DE-588)4329066-8 gnd Membranverfahren (DE-588)4231727-7 gnd Chemische Verfahrenstechnik (DE-588)4069941-9 gnd |
| topic_facet | Technische Membran Membranfiltration Trennverfahren MATLAB Membranverfahren Chemische Verfahrenstechnik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190497&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026190497&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT foleygreg membranefiltrationaproblemsolvingapproachwithmatlab |