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Role of Joule Heating in Electro-Assisted Processes: A Boundary Layer Approach for Rectangular Electrodes

  • Mario A. Oyanader , Pedro E. Arce EMAIL logo and James D. Bolden
Published/Copyright: August 6, 2013
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International Journal of Chemical Reactor Engineering
From the journal International Journal of Chemical Reactor Engineering Volume 11 Issue 2

Abstract

An analysis for boundary layer flows caused by natural convection due to heat generation caused by the Joule heating effect is presented. The integral approximation approach developed by Von Karman is used to model the boundary layer flow in the system. Effects of the heat generation on temperature and velocity profiles as well as on the boundary layer thickness are discussed, and their implication for possible convective mixing effects near the electrode region is highlighted. These are important pieces of information when designing applications in electrokinetic remediation and separation of biomolecules.

Keywords: Joule heating; electrokinetics; soil-cleaning

Acknowledgments

The authors are grateful for discussions with Dr. Alamo and Dr. Van Dommelen (College of Engineering at Florida A&M University and Florida State University). Observations made by Dr. M.A. Bosse (Chemical Engineering Department, Universidad Católica, Antofagasta, Chile) are greatly appreciated. Y.Y. Wang typed earlier versions of the manuscript. Finally, the support provided by Universidad Católica de Norte, Chile, and the Fulbright Commission to the doctoral work of Mario A. Oyanader is specially acknowledged. Finally, we are indebted to Paula Arce-Trigatti, Doctoral Candidate at the University of Houston, TX, for her excellent feedback, review of the manuscript, and suggestions for improvement.

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  1. This contribution was submitted (by invitation) to Dr. Alberto E. Cassano Honoring Issue. We are delighted to contribute to this collection of papers for whom instilled on us a deep appreciation for fundamental research to solve societal problems. Dr. Cassano’s constant striving for pursuing excellence, focusing on innovation, and bringing technological solutions to Society are our adopted guiding principles.

  2. 1

    The book by K.R. Reddy and C. Cameselle (Editors) “Electrochemical Remediation Technologies”, J. Wiley (2009) is an excellent collection of papers discussing several of these issues.

  3. 2

    The case of cylindrical geometry is analyzed in a companion contribution submitted for this issue. See Oyanader, M.A. and P. E. Arce, “Role of Aspect Radius and Joule Heating within the Fluid Region Near a Cylindrical Electrode in Electrokinetic Remediation,” in press, International Journal of Chemical Reactor Engineering.

  4. 3

    This approximation works well for Pr number values close to 1. For water systems, the range for the Pr is 1–10, being close to one as, for example, the temperature increases. Since here there is Joule heating effect, this is a good first approximation to study the behavior of the system. More quantitative behaviors should require the evaluation case by case for the exact value of the Pr number used (see Whitaker [20]).

  5. 4

    See also, Oyanader, M. and P.E. Arce, “Role of Joule Heating on the Hydrodynamics Boundary Layer with Rectangular Electrodes; Numerical Approach” Latin American Applied Research, 38 (2), 147–154 (2008).

  6. 5

    This value is high enough to determine the trends that it was determined not necessary to use the upper bound of the range for the parameter J1 0.533.

Published Online: 2013-08-06

©2013 by Walter de Gruyter Berlin / Boston

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  1. Masthead
  2. Masthead
  3. Editorial
  4. In Honor of Alberto E. Cassano: Researcher, Engineer, and Academic
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  6. From Ideal Reactor Concepts to Reality: The Novel Drum Reactor for Photocatalytic Wastewater Treatment
  7. Synthesis, Characterization, and Comparison of Sol–Gel TiO2 Immobilized Photocatalysts
  8. Determination of Kinetic Parameter in a Unified Kinetic Model for the Photodegradation of Phenol by Using Nonlinear Regression and the Genetic Algorithm
  9. Mass Transfer and Conservation from a Finite Source to an Infinite Media
  10. Modelling and Simulation of Gas–liquid Hydrodynamics in a Rectangular Air-lift Reactor
  11. Two-Dimensional Modeling of an Externally Irradiated Slurry Photoreactor
  12. Role of Aspect Ratio and Joule Heating within the Fluid Region Near a Cylindrical Electrode in Electrokinetic Remediation: A Numerical Solution based on the Boundary Layer Model
  13. Solar Water Disinfection Using NF-codoped TiO2 Photocatalysis: Estimation of Scaling-up Parameters
  14. A Simple and Semi-Empirical Model to Predict THMs Generation in Water Facilities Including pH Effects
  15. On the Standardization of the Photocatalytic Gas/Solid Tests
  16. Microalgae Technology: A Patent Survey
  17. Influence of Physical and Optical Parameters on 2,4-Dichlorophenol Degradation
  18. Factors Capable of Modifying the Response of Pseudomonas aeruginosa to the Inactivation Induced by Heterogeneous Photocatalysis
  19. Enhanced Antibacterial Activity of CeO2 Nanoparticles by Surfactants
  20. Determination of Photochemical, Electrochemical and Photoelectrochemical Efficiencies in a Photoelectrocatalytic Reactor
  21. Correlations between Molecular Descriptors from Various Volatile Organic Compounds and Photocatalytic Oxidation Kinetic Constants
  22. Role of Joule Heating in Electro-Assisted Processes: A Boundary Layer Approach for Rectangular Electrodes
https://doi.org/10.1515/ijcre-2013-0003
Keywords for this article
Joule heating; electrokinetics; soil-cleaning

Articles in the same Issue

  1. Masthead
  2. Masthead
  3. Editorial
  4. In Honor of Alberto E. Cassano: Researcher, Engineer, and Academic
  5. Articles
  6. From Ideal Reactor Concepts to Reality: The Novel Drum Reactor for Photocatalytic Wastewater Treatment
  7. Synthesis, Characterization, and Comparison of Sol–Gel TiO2 Immobilized Photocatalysts
  8. Determination of Kinetic Parameter in a Unified Kinetic Model for the Photodegradation of Phenol by Using Nonlinear Regression and the Genetic Algorithm
  9. Mass Transfer and Conservation from a Finite Source to an Infinite Media
  10. Modelling and Simulation of Gas–liquid Hydrodynamics in a Rectangular Air-lift Reactor
  11. Two-Dimensional Modeling of an Externally Irradiated Slurry Photoreactor
  12. Role of Aspect Ratio and Joule Heating within the Fluid Region Near a Cylindrical Electrode in Electrokinetic Remediation: A Numerical Solution based on the Boundary Layer Model
  13. Solar Water Disinfection Using NF-codoped TiO2 Photocatalysis: Estimation of Scaling-up Parameters
  14. A Simple and Semi-Empirical Model to Predict THMs Generation in Water Facilities Including pH Effects
  15. On the Standardization of the Photocatalytic Gas/Solid Tests
  16. Microalgae Technology: A Patent Survey
  17. Influence of Physical and Optical Parameters on 2,4-Dichlorophenol Degradation
  18. Factors Capable of Modifying the Response of Pseudomonas aeruginosa to the Inactivation Induced by Heterogeneous Photocatalysis
  19. Enhanced Antibacterial Activity of CeO2 Nanoparticles by Surfactants
  20. Determination of Photochemical, Electrochemical and Photoelectrochemical Efficiencies in a Photoelectrocatalytic Reactor
  21. Correlations between Molecular Descriptors from Various Volatile Organic Compounds and Photocatalytic Oxidation Kinetic Constants
  22. Role of Joule Heating in Electro-Assisted Processes: A Boundary Layer Approach for Rectangular Electrodes
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