A model to predict the temperature rise in the reacted zone of discharging electrochemical devices has been developed. The model assumes that electrode kinetics are fast and concentration gradients are negligible. In the reacted zone, a thermal boundary layer grows, and its thickness is proportional to the reacted zone thickness. In the model, the temperature rise is predicted using the one-dimensional heat diffusion equation for a porous medium. The effective heat capacity per unit volume and effective thermal conductivity are defined as a function of electrode porosity. The instantaneous power per unit area dissipated in the reacted zone is used as a source term in the heat diffusion equation. With fixed parameters such as discharge current density, charge capacity per unit volume, electrode electrical conductivity, electrode porosity, and thermophysical properties of the pore-space fluid and electrode, the transient temperature distribution in the reacted zone is derived in closed-form. Subsequently, the maximum electrode temperature is readily obtained, and the maximum electrode temperature at complete discharge is derived. A new dimensionless parameter, the electro-thermal number, emerges as one of the most important parameters controlling the discharge time and maximum temperature rise.
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Maximum Temperature Rise in the Reacted Zone of Electrochemical Devices for Space Applications
Carsie A. Hall,, III, Mem. ASME,
e-mail: cahall@uno.edu
Carsie A. Hall,, III, Mem. ASME
Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148
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Edwin P. Russo, Fellow ASME,
e-mail: erusso@uno.edu
Edwin P. Russo, Fellow ASME
Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148
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Calvin Mackie, Mem. ASME
Calvin Mackie, Mem. ASME
Department of Mechanical Engineering, Tulane University, New Orleans, LA 70118
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Carsie A. Hall,, III, Mem. ASME
Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148
e-mail: cahall@uno.edu
Edwin P. Russo, Fellow ASME
Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148
e-mail: erusso@uno.edu
Calvin Mackie, Mem. ASME
Department of Mechanical Engineering, Tulane University, New Orleans, LA 70118
Contributed by the Solar Energy Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF SOLAR ENERGY ENGINEERING. Manuscript received by the ASME Solar Energy Division, July 2001; final revision, January 2003. Associate Editor: M. M. Rahman.
J. Sol. Energy Eng. May 2003, 125(2): 177-181 (5 pages)
Published Online: May 8, 2003
Article history
Received:
July 1, 2001
Revised:
January 1, 2003
Online:
May 8, 2003
Citation
Hall, , C. A., III, Russo, E. P., and Mackie, C. (May 8, 2003). "Maximum Temperature Rise in the Reacted Zone of Electrochemical Devices for Space Applications ." ASME. J. Sol. Energy Eng. May 2003; 125(2): 177–181. https://doi.org/10.1115/1.1564575
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