Chapter
May 14, 2020
World Environmental and Water Resources Congress 2020

Small-Signal Modeling and Analysis of Electrodialysis Module Used for Desalination Processes

Publication: World Environmental and Water Resources Congress 2020: Water, Wastewater, and Stormwater and Water Desalination and Reuse

ABSTRACT

The available mathematical models of electrodialysis (ED) units are derived based on steady-state mass balance equations and solved with numerical methods. However, a dynamic model has never been developed before. This paper develops a small-signal model of a multicell stack ED based on state-space approach to study the effects of input salt concentration, feeding flow rate, and cell number on performance of the system. Desalination of saline water by electrodialysis is modeled based on separation of sodium ions. Dynamic models of mass balance equations with time-varying salt concentration gradient, varied with time, are considered in the modeling procedure. A 10-cell stack ED module with 9 cm2 of effective surface area is modeled to purify a feed stream containing 100 g/L of sodium chloride at the rate of 0.04 m/s.

Get full access to this article

View all available purchase options and get full access to this chapter.

REFERENCES

Al-Karaghouli, A. and Kazmerski, L. L. (2013). “Energy consumption and water production cost of conventional and renewable-energy-powered desalination processes.” Renewable and Sustainable Energy Reviews, 24, 343–356.
Gnusin, N. (2003). “Mathematical model of electrodiffusion transfer through a diffusion layer– heterogeneous ion-exchange membrane system.” Russian journal of electrochemistry, 39(10), 1053–1058.
Gnusin, N. (2004). “Modeling of mass electrotransfer in an electrodialysis cell.” TheoreticalFoundations of Chemical Engineering, 38(3).
Kucera, J. (2014). “Introduction to desalination.” Desalination: Water from Water, 1–37.
Lee, H.-J., Sarfert, F., Strathmann, H., and Moon, S.-H. (2002). “Designing of an electrodialysis desalination plant.” Desalination, 142(3), 267–286.
Manju, S. and Sagar, N. (2017). “Renewable energy integrated desalination: A sustainable so- lution to overcome future fresh-water scarcity in india.” Renewable and Sustainable Energy Reviews, 73, 594–609.
Nikonenko, V., Zabolotskii, V., and Lebedev, K. (1991). “Electrodiffusion across inhomogeneous membranes: Stationary electrodiffusion of simple electrolyte.” Elektrokhimiya, 27(9), 1103.
Ortiz, J., Sotoca, J., Exposito, E., Gallud, F., Garcia-Garcia, V., Montiel, V., and Aldaz, A. (2005). “Brackish water desalination by electrodialysis: batch recirculation operation model- ing.” Journal of Membrane Science, 252(1-2), 65–75.
Pramanik, B. K., Gao, Y., Fan, L., Roddick, F. A., and Liu, Z. (2017). “Antiscaling effect of polyaspartic acid and its derivative for RO membranes used for saline wastewater and brackish water desalination.” Desalination, 404, 224–229.
Sadrzadeh, M., Kaviani, A., and Mohammadi, T. (2007). “Mathematical modeling of desalination by electrodialysis.” Desalination, 206(1-3), 538–546.
Shaposhnik, V., Kuzminykh, V., Grigorchuk, O., and Vasil’eva, V. (1997). “Analytical model of laminar flow electrodialysis with ion-exchange membranes.” Journal of membrane science, 133(1), 27–37.
Sonin, A. A. and Probstein, R. F. (1968). “A hydrodynamic theory of desalination by electrodialy- sis.” Desalination, 5(3), 293–329.
Tanaka, Y. (2003). “Mass transport and energy consumption in ion-exchange membrane electro- dialysis of seawater.” Journal of Membrane Science, 215(1-2), 265–279.
Turek, M., Mitko, K., Piotrowski, K., Dydo, P., Laskowska, E., and Jakóbik-Kolon, A. (2017). “Prospects for high water recovery membrane desalination.” Desalination, 401, 180–189.
Volgin, V., Volgina, O., and Davydov, A. (2002). “Numerical modeling of steady-state ion trans- fer in electrochemical systems with allowance for migration.” Russian journal of electrochem-istry, 38(10), 1059–1067.
Zourmand, Z., Faridirad, F., Kasiri, N., and Mohammadi, T. (2015). “Mass transfer modeling of desalination through an electrodialysis cell.” Desalination, 359, 41–51.

Information & Authors

Information

Published In

Go to World Environmental and Water Resources Congress 2020
World Environmental and Water Resources Congress 2020: Water, Wastewater, and Stormwater and Water Desalination and Reuse
Pages: 31 - 41
Editors: Sajjad Ahmad, Ph.D., and Regan Murray, Ph.D.
ISBN (Online): 978-0-7844-8298-8

History

Published online: May 14, 2020
Published in print: May 14, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Faegheh Moazeni, Ph.D., A.M.ASCE [email protected]
Civil Engineering Dept., School of Science Engineering and Technology, Penn State Harrisburg, Middletown, PA, USA. E-mail: [email protected]
Jejal Reddy Bathi, Ph.D., A.M.ASCE [email protected]
P.E.
Civil and Chemical Engineering, Univ. of Tennessee at Chattanooga, TN, USA. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share