CRITICAL TEMPERATURE CORRELATION FOR A NEAR-UNITY ASPECT RATIO CHARGE OF ARBITRARY SIZE AND SHAPE

The classical thermal explosion theory of D. A. Frank‐Kamenetskii (F‐K) is analytic with respect to charge size but numerical with respect to charge shape. The numerical determination of criticality for a general shape is non‐trivial, and is therefore not often performed in practice. For estimation purposes it would be useful to avoid computations by finding an approximate correlation relating the critical state to the relevant generic attributes of the charge shape. I present such a correlation that accurately does so for bodies of near‐unity aspect ratio; however, the result breaks down for extended aspect ratio bodies.