Abstract
Model of the heat balance in an element of a solid oxide fuel cell (SOFC) a fragment of bipolar plate with the linear air channel) is developed. Stability analysis of heat transport equations shows that stack operation is unstable with respect to small long-wave perturbations in temperature . Expressions for the critical wave vector of dangerous disturbance and for the instability increment are derived. Physically, small perturbation of increases local current; both these disturbances increase local rate of heat production, which gives further rise to . This positive feedback loop is activated when perturbation occupies a significant fraction of channel length. Instability manifests itself as a slow temperature wave with growing amplitude, which moves along the direction of airflow. The characteristic time of temperature growth in the wave is on the order of 10 min to 2 h.
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