Skip to main content
Log in

Mass transfer characteristics of a flow-by fixed bed electrochemical reactor composed of vertical stack stainless steel screens cathode

  • Original
  • Published:
Heat and Mass Transfer Aims and scope Submit manuscript

Abstract

Mass transport properties of a flow-by fixed bed electrochemical reactor composed of a vertical stack of stainless steel nets operated at a batch-recycle mode were characterized using cathodic deposition of copper as a test reaction. The electrochemical reactor was operated at constant potential in which reduction of copper happened under mass transport control. This potential was selected from the application of hydrodynamic voltammetry using a borate/chloride solution as supporting electrolyte on stainless steel rotating disc electrode. A linear relationship was observed between the flow rate and the mass transfer coefficient. The electrochemical reactor was efficient in removing copper and able to reduce the levels of this metal to lower than 0.4 ppm starting from an initial concentration of 49.7 ppm at 80 min using a ratio of cathode volume/catholyte volume equal to 0.0075. A mathematical correlation between the Sherwood number and Reynolds number were obtained which characterized the mass transport properties of the reactor as follows: Sh = 0.2254Re0.4228Sc1/3.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Abbreviations

a :

Specific surface area cm2 cm−3

A :

Cross sectional area of electrode cm2

b :

Power of Reynolds Number in Eq. 10

B :

Opening size of screen cm

C(0) :

Initial Concentration at time = 0 mol.cm−3 or ppm

C(t) :

Concentration at time = t mol.cm−3 or ppm

Cb :

Bulk concentration mol.cm−3 or ppm

d :

Diameter of wire screen cm

D :

Diffusivity cm2 s−1

E :

Cell potential mV

Emax :

Maximum electrode potential mV

Emin :

Minimum electrode potential mV

F :

Faraday number(96500) C mo1−1

i :

Current density mA cm−2

ilm :

Limiting current density mA cm−2

IL :

Limiting current mA

jD :

Chilton-Colburn j-factor –

km :

Mass transfer coefficient cm s−1

L :

Length of electrode cm

Li :

Length of wire segment in Eq. (3-c) cm

m :

Constant in Eqs. 10 and 11

N :

Mesh size number Wire/in.

n :

Power of Reynolds Number in Eq. 11

Q :

Volumetric Flow rate cm3 s−1 or dm3 h−1

t :

Time s

u :

Flow velocity of solution m s−1

Vr :

Volume of reservoir cm3

w :

Thickness of electrode cm

z :

Number of electrons –

Re :

Reynolds number (Re = ud/ ε ν) –

Sh :

Sherwood number dimensionless(Sh = km d/D) –

Sc :

Schmidt number dimensionless(Sc = μ/ρD) –

X :

Geometric dimensionless parameter –

ρ :

Fluid density g cm−3

μ :

Viscosity of fluid g m−1 s−1

ν :

Kinematic viscosity of fluid cm2 s−1

ε :

Void fraction or porosity –

ω :

Rotation velocity rad s−1

References

  1. Pletcher D, Walsh FC (1990) Industrial electrochemistry, 2nd edn. Chapman and Hall, London

    Google Scholar 

  2. Bourgeois W, Burgess JE, Stuets RM (2001) On-line monitoring of wastewater quality: a review. J Chem Technol Biotechnol 76:337–348

    Article  Google Scholar 

  3. Chen JP, Wang X (2000) Removing copper, zinc, and lead ion by granular activated carbon in pretreated fixed-bed columns. Sep Purif Technol 19:157–167

    Article  Google Scholar 

  4. Ismail IM, El-Sourougy MR, Abdel Moneim N, Aly HF (1999) Equilibrium and kinetic studies of the sorption of cesium by potassium nickel hexacyanoferrate complex. J Radioanal Nucl Chem 240:59–67

    Article  Google Scholar 

  5. Kazemipour M, Ansari M, Tajrobehkar SH (2008) Removal of lead, cadmium, zinc, and copper from industrial wastewater by carbon developed from walnut, hazelnut, almond, pistachio shell, and apricot stone. J Hazard Mater 150:322–327

    Article  Google Scholar 

  6. Tenorio JAS, Espinosa DCR (2001) Treatment of chromium plating process effluents with ion exchange resins. Waste Manag 21:637–642

    Article  Google Scholar 

  7. Mishraa PC, Patel RK (2009) Removal of lead and zinc ions from water by low cost adsorbents. J Hazard Mater 168:319–325

    Article  Google Scholar 

  8. Alizadeh T, Amjadi S (2011) Preparation of nano-sized Pb2+ imprinted polymer and its application as the chemical interface of an electrochemical sensor for toxic lead determination in different real samples. J Hazard Mater 190:451–459

    Article  Google Scholar 

  9. Khajeha M, Heidarib ZS, Sanchoolia E (2011) Synthesis, characterization and removal of lead from water samples using lead-ion imprinted polymer. Chem Eng J 166:1158–1163

    Article  Google Scholar 

  10. Mohsen-Nia M, Montazeri P, Modarress H (2007) Removal of Cu2+ and Ni2+ from wastewater with a chelating agent and reverse osmosis processes. Desalination 217:276–281

    Article  Google Scholar 

  11. Chen G (2004) Electrochemical technologies in wastewater treatment. Sep Purif Technol 38:11–41

    Article  Google Scholar 

  12. Juttner K, Galla U, Schmieder H (2000) Electrochemical approaches to environmental problems in the process industry. Electrochim Acta 45:2575–2594

    Article  Google Scholar 

  13. Ismail IM, Abdel-Salam OE, Ahmed TS (2013) Investigation of the anodic dissolution of zinc in sodium chloride electrolyte – a green process. Port Electrochim Acta 31:207–219

    Article  Google Scholar 

  14. Fedkiw PS (1981) Ohmic potential drop in flow-through and flow-by porous electrodes. J Electrochem Soc 128:831–838

    Article  Google Scholar 

  15. Walsh FC (1993) A first course in electrochemical engineering. The Electrochemical Consultancy, Hampshire

    Google Scholar 

  16. Storck A, Robertson PM, Ibl N (1979) Mass transfer study of three-dimensional electrodes composed of stacks of nets. Electrochim Acta 24:373–380

    Article  Google Scholar 

  17. Leroux F, Coeuret F (1985) Flow-by electrodes of ordered sheets of expanded metal I. Current distribution for diffusional regime. Electrochim Acta 30:159–166

    Article  Google Scholar 

  18. Leroux F, Coeuret F (1985) Flow-by electrodes of ordered sheets of expanded metal II. Potential distribution for diffusional regime. Electrochim Acta 30:167–172

    Article  Google Scholar 

  19. Simonsson D (1984) A flow-by packed-bed electrode for removal of metal ions from waste water. J Appl Electrochem 14:595–604

    Article  Google Scholar 

  20. Montillet A, Comiti J, Legrand J (1993) Application of metallic foams in electrochemical reactors of filter-press type part I: flow characterization. J Appl Electrochem 23:1045–1052

    Article  Google Scholar 

  21. Wang J (1981) Reticulated vitreous carbon—a new versatile electrode material. Electrochim Acta 26:1721–1726

    Article  Google Scholar 

  22. Shah AA, Al-Fetlawi H, Walsh FC (2010) Dynamic modelling of hydrogen evolution effects in the all-vanadium redox flow battery. Electrochim Acta 55:1125–1139

    Article  Google Scholar 

  23. Ferreira BK (2008) Three-dimensional electrodes for the removal of metals from dilute solutions: a review. Min Proc Ext Met Rev 29(4):330–371

    Article  Google Scholar 

  24. Abdel Aziz MH, Nirodosh I, Sedahmed GH (2012) Mass transfer at vertical oscillating screen stack in relation to catalytic and electrochemical reactor design. Ind Eng Chem Res 51:11636–11642

    Article  Google Scholar 

  25. Zaki MM, Nirodosh I, Sedahmed GH (2007) Mass transfer characteristics of reciprocating screen stack electrochemical reactor in relation to heavy metal removal from dilute solutions. Chem Eng J 126:67–77

    Article  Google Scholar 

  26. Sioda RE (1974) Application of flow electrolysis on porous electrodes for electropreparations. J Electroanal Chem Interfacial Electrochem 56:149–154

    Article  Google Scholar 

  27. Abbar AH, Salman RH, Abbas AS (2018) Studies of mass transfer at a spiral-wound woven wire mesh rotating cylinder electrode. Chem Eng Process Process Intensif 127:10–16

    Article  Google Scholar 

  28. Goodridge F, Scott K (1995) Electrochemical process engineering, a guide to the design of electrolysis plant. Plenum Press, New York

    Google Scholar 

  29. Sioda RE (1978) Criterion of completeness of electrolysis at flow porous electrodes. J Appl Electrochem 8:297–304

    Article  Google Scholar 

  30. Nava JL, Sosa E, Carreno G, Ponce-de-leon C, Oropeza MT (2006) Modelling of the concentration–time relationship based on global diffusion-charge transfer parameters in a flow-by reactor with a 3D electrode. Electrochim Acta 51:4210–4217

    Article  Google Scholar 

  31. Walker ATS, Wragg AA (1977) The modelling of concentration–time relationships in recirculating electrochemical reactor systems. Electrochim Acta 22:1129–1134

    Article  Google Scholar 

  32. Atlas H, Resnick W (1976) Analysis of batch-recycle reactor systems. Can J Chem Eng 54:639–641

    Article  Google Scholar 

  33. Mobarak AA, Abdo MSE, Hassan MSM, Sedahmed GH (2000) Mass transfer behavior of a flow-by fixed bed electrochemical reactor composed of a vertical stack of screens under single and upward two phase flow. J Appl Electrochem 30:1269–1276

    Article  Google Scholar 

  34. Cano J, Bohm U (1977) Mass transfer in packed beds of screens. Chem Eng Sci 32:213–219

    Article  Google Scholar 

  35. Sioda RE (1977) Axial dispersion in flow porous electrodes. J Appl Electrochem 7:135–137

    Article  Google Scholar 

  36. Sioda RE (1977) Flow-through electrodes composed of parallel screens. Electrochim Acta 22:439–443

    Article  Google Scholar 

  37. Sioda RE (1976) Mass transfer problems in electrolysis with flowing solution on single and stacked screens. J Electroanal Chem 70:49–54

    Article  Google Scholar 

  38. Vogtlander PH, Bakker CAP (1963) An experimental study of mass transfer from a liquid flow to wires and gauzes. Chem Eng Sci 18:583–589

    Article  Google Scholar 

  39. Paidar M, Bouzek K, Laurich M, Thonstad J (2000) Application of a three-dimensional electrode to the electrochemical removal of copper and zinc ions from diluted solutions. Water Environ Res 72:618–625

    Article  Google Scholar 

  40. Findlay A, Kiitchener JK (1965) Practical physical chemistry. Longmans, London

    Google Scholar 

  41. Risch T, Newman J (1984) A theoretical comparison of flow-through and flow-by porous electrodes at the limiting current. J Electrochem Soc 131:2551–2565

    Article  Google Scholar 

  42. Armour JC, Cannon JN (1968) Fluid flow through woven screens. AICHE J 14:415–420

    Article  Google Scholar 

  43. Bard AJ, Faulkner LR (2001) Electrochemical methods: fundamentals and applications. Wiley, New York

    Google Scholar 

  44. Quickenden TI, Xu Q (1996) Toward a reliable value for the diffusion coefficient of cupric ion in aqueous solution. J Electrochem Soc 143:1248–1253

    Article  Google Scholar 

  45. Ponce de-Leon C, Low CTJ, Kear G, Walsh FC (2007) Strategies for the determination of the convective-diffusion limiting current from steady state linear sweep voltammetry. J Appl Electrochem 37:1261–1270

    Article  Google Scholar 

  46. Pletcher D (1991) A first course in electrode processes. the Electrochemical Consultancy, Romsey

    Google Scholar 

  47. Pletcher D, Whyte I, Walsh FC, Millington JP (1991) Reticulated vitreous carbon cathodes for metal ion removal from process streams part I: mass transport studies. J Appl Electrochem 21:659–666

    Article  Google Scholar 

  48. Ford WPJ, Walsh F, Whyte I (1992) Simplified batch reactor models for the removal of metal ions from solution. I Chem E Symp Ser 127:111–126

  49. Stankovic VD, Wragg AA (1995) Modelling of time-dependent performance criteria in a three-dimensional cell system during batch recirculation copper recovery. J Appl Electrochem 25:565–573

    Article  Google Scholar 

  50. Rajesshwar K, Ibanez JG (1997) Environmental electrochemistry: fundamentals and applications in pollution sensors and pollutant treatment. Academic, San Diego

    Google Scholar 

  51. Shah MA, Roberts D (1974) Mass transfer characteristics of stacked metal screens. Advances in Chemistry, vol 133, Chemical Reaction Engineering-II, chapter 20:259–270

  52. Hor YP, Mohamed N (2003) Removal and recovery of copper via a galvanic cementation system part I: single-pass reactor. J Appl Electrochem 33:279–285

    Article  Google Scholar 

  53. Hor YP, Mohamed N (2005) Removal and recovery of copper via a galvanic cementation system part II: batch recycle reactor. J Appl Electrochem 35:609–613

    Article  Google Scholar 

  54. Pletcher D, Whyte I, Walsh FC, Millington JP (1993) Reticulated vitreous carbon cathodes for metal ion removal from process streams part II. Studies of a single pass reactor. J Appl Electrochem 23:82–85

    Article  Google Scholar 

Download references

Acknowledgments

The authors express their gratitude to Engineering Consulting Bureau/ Al-Qadissya University for financial support of this work under the contract no.28-2. Special thanks are also due to the technical staff of Chemical Engineering Department, University of Baghdad for their support and assistance.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ali H. Abbar.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abbar, A.H., Sulaymon, A.H. & Mohammed, S.A.M. Mass transfer characteristics of a flow-by fixed bed electrochemical reactor composed of vertical stack stainless steel screens cathode. Heat Mass Transfer 55, 2419–2428 (2019). https://doi.org/10.1007/s00231-019-02591-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00231-019-02591-4

Navigation