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Heat Conduction in an Infinite Cylindrical Medium with Heat Generated by a Chemical Reaction

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2 Author(s)
Nichols, Peter L. ; Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California ; Presson, Arthur G.

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The nonlinear partial differential equation for heat conduction in an infinite cylinder with heat generated by a chemical reaction has been solved by means of an electronic differential analyzer. Solutions of the equations in dimensionless variable form have been obtained for a zero‐order heat‐release term and a first‐order heat‐release term. Altogether 162 solutions were obtained covering a range of activation energies from 10 to 20 kcal/mole. Empirical relations have been derived for the maximum temperature at the center of the cylinder as a function of the experimental variables involved. Also relations relating to the approximate completion of reaction in terms of the experimental variables were derived from the tabulated data. Several calculations were made to demonstrate the general nature of the numerical solutions.

Published in:

Journal of Applied Physics  (Volume:25 ,  Issue: 12 )