On a conjecture of Aris: Proof and remarks

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Abstract
In this paper a conjecture of Aris is proved to be correct, that of all catalyst particles of fixed volume for isothermal first‐order chemical reactions the spherical particle has the lowest effectiveness factor. The method of proof uses a process of symmetrization. Some conjectures are also made about other chemical reactions. The method of proof is also valid for two‐dimensional domain (infinite cylinder).

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