Abstract
The activity in the field of computer-aided optimum design in engineering of electrochemical gas sensors has been increasing steadily over the last decade. A vast range of models exist today, varying in complexity and in the number of assumptions employed. However, the emphasis in a majority of the models has been either on the transport processes or on the electrochemical processes. This manuscript presents a complete mathematical model of electrochemical gas sensors, represented as a system of the partial differential equations of parabolic and hyperbolic types and the algorithm of transfer from the complete model to models of specific sensors. A complete mathematical model shows that the physic–electro–chemical processes occurring in the electrochemical gas sensors can be described more accurately. Presented mathematical model together with the proposed algorithm provides a decision-making tool for better optimal design of the solid electrolyte gas sensors. An example of transfer from a complete model to real model of the yttria-stabilized zirconia (YSZ)-based potentiometric gas sensors has been shown for the YSZ-based oxygen sensor with Pt sensing electrode (SE) and metal–metal oxide (Me–MeO) reference electrode (RE). Verification of the adequacy of the mathematical model to real gas sensor has been evaluated by the Fisher criterion.
Similar content being viewed by others
References
Zhuiykov S, Nakano T, Kunimoto A, Miura N (2001) Electrochem Commun 3:97
Zhuiykov S, Miura N (2005) In: Sorrel SS, Nowotny J, Sugihara J (eds) Materials for energy conversion devices. Woodhead, Cambridge, England, pp 303–335, (Chapter 12)
Miura N, Nakatou M, Zhuiykov S (2003) Sens Actuators, B, Chem 93:221
Miura N, Zhuiykov S, Ono T, Hasei M, Yamazoe N (2002) Sens Actuators, B, Chem 81:222
Szabo NF, Dutta PK (2004) Solid State Ion 171:183
Martin LP, Pham IQ, Glass RS (2003) Sens Actuators, B, Chem 96:53
Zhuiykov S, Ono T, Yamazoe N, Miura N (2002) Solid State Ion 152:801
Szabo NF, Dutta PK (2003) Sens Actuators, B, Chem 88:168
Elumalai P, Wang J, Zhuiykov S, Terada D, Hasei M, Miura N (2005) J Electrochem Soc 152:H95
Plashnitsa VV, Ueda T, Miura N (2006) J Applied Ceram Tech 3:127
Brosha EL, Mukundan R, Brown DR, Garzon FH, Visser JH (2002) Solid State Ion 148:61
Mochizuki K, Sorita R, Takashima H, Nakamura K, Lu G (2001) Sens Actuators, B, Chem 77:190
Miura N, Wang J, Nakatou M, Elumalai P, Zhuiykov S, Hasei M (2006) Sens Actuators, B, Chem 114:903
Xiong W, Kale GM (2006) Sens Actuators, B, Chem 114:101
Miura N, Nakatou M, Zhuiykov S (2004) J Ceram Inter 30:1135
Szabo NF, Du HB, Akber SA, Soliman A, Dutta PK (2002) Sens Actuators, B, Chem 82:142
Doquier N, Candel S (2002) Prog Energy Combustion Sci 28:107
Nakamura T, Sakamoto Y, Saji K, Sakata J (2003) Sens Actuators, B, Chem 93:214
Magori E, Reinhardt G, Fleischer M, Mayer R, Meixner H (2003) Sens Actuators, B, Chem 95:162
Shmidt-Zhang P, Guth U (2004) Sens Actuators, B, Chem 99:258
Ono T, Hasei M, Kunimoto A, Miura N (2004) Solid State Ion 175:503
Menil F, Coillard V, Lukat C (2000) Sens Actuators, B, Chem 67:1
Zosel J, Ahlborn K, Müller R, Westphal D, Vashook V, Guth U (2004) Solid State Ion 169:115
Menil F, Debeda H, Lukat C (2005) J Eur Ceram Soc 25:2105
Bartolomeo ED, Grilli ML (2005) J Eur Ceram Soc 25:2959
Garzon FH, Mukundan R, Lujan R, Brosha EL (2004) Solid State Ion 175:487
Wachsman ED, Jayaweera P (2001) In: Waschamn ED, Weppner W, Traversa E, Liu M, Vanysek P, Yamazoe N (eds) Solid sate ionic devices II—ceramic sensors, PV 2000-32. The Electrochemical Society Proceedings Series, Pennington, NJ, p 298
Bartolomeo ED, Grilli ML, Traversa E (2004) J Electrochem Soc 151:H133
Khatua S, Held G, King DA (2005) Surf Sci 586:1
Eranna G, Joshi BC, Runthala DP, Gupta RP (2004) Solid State Materials Sci 29:111
Bartolomeo ED, Grilli ML, Yoon JW, Traversa E (2004) J Am Ceram Soc 87:1883
Hansen MV, Allen RG (2002) Harmony Books, New York, p 388
Zhuiykov S (2006) Sens Actuators, B, Chem (in press)
Subbarao ES, Maiti HS (1984) Solid State Ion 11:317
Serbezov A, Sotirchos SV (2001) Separation Purification Tech 24:343
Poate JM, Tu KN, Mayer JW (1978) Thin films—interdiffusion and reactions, Wiley-Interscience. New York, p 578
Belmonte T, Gouné M (2001) Mater Sci Eng A 302:246
Marques R, Darcy P, Costa PD, Mellottée H, Trichard JM, Mariadassou GD (2004) J Mol Catal A Chem 221:127
Er-raki M, Hasnaoui M, Amahmid A, Bourich M (2005) Engineering Computations: Int J Computer-Aided Eng 22:186
Antropov LI (1975) The theoretical electrochemistry. High School, Moscow, p 540
Zhuiykov S (1998) Process Control Qual 11:23
Zhuiykov S (2006) Sens Actuators, B, Chem (in press)
Born M (1962) Einstain’s theory of relativity. Dover, NY, p 376
Lide DR. CRC Handbook of chemistry and physics. CRC, Boston, I-30
Charykin AK (1984) Mathematical processing results of chemical analysis. Chemistry, Moscow, p 168
Novitsky PV, Zograf IA (1985) Evaluation the errors of measurement results. Energoatomizdat, Moscow, p 248
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhuiykov, S. Mathematical model of electrochemical gas sensors with distributed temporal and spatial parameters and its transformation to models of the real YSZ-based sensors. Ionics 12, 135–148 (2006). https://doi.org/10.1007/s11581-006-0017-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11581-006-0017-3