The oxidation of Nicalon(TM) fibers is a concern, because of its poten
tial as a reinforcement of high-temperature composites, whose service
conditions involve high-temperature, oxidizing environments, Two limit
ing types of oxidation mechanisms are often used to describe the kinet
ics: chemical-reaction-controlled oxidation, at small oxide thicknesse
s, and diffusion-controlled oxidation, at large oxide thicknesses, Nei
ther mechanism can satisfactorily describe the intermediate region whe
re the oxidation kinetics are controlled jointly by both the chemical
reaction rate at the interface and the diffusion of oxygen through the
oxide layer. To describe the entire oxidation process with a general
relationship, one must consider all stages of the oxidation process, n
amely (i) adsorption of oxygen at the outer surface of the oxide, (ii)
diffusion of oxygen from the outer surface toward the interface,where
oxidation occurs, and (iii) reaction at the interface to form a new l
ayer of oxide, Previously, a very useful general relationship was deri
ved for the oxidation kinetics for a flat plate, which could account f
or all three stages of oxidation, However, that equation is inadequate
to describe the oxidation of cylindrical fibers, because the effectiv
e area for oxygen diffusion changes along the diffusion path and the o
xidation interfacial area decreases as the oxide thickness increases f
or cylindrical fibers, In this paper, we have derived a general kineti
c relationship for the oxidation of cylindrical fibers, which can acco
unt for all stages of oxidation, Comparison of the theory with experim
ental data of Nicalon(TM) fibers shows good agreement.