Pk. Imbrie et Dc. Lagoudas, Morphological evolution of TiO2 scale formed on various 1D and 2D geometries of titanium, OXID METAL, 55(3-4), 2001, pp. 359-399
The purpose of this study is to experimentally quantify the multidimensiona
l growth characteristics of the oxide scale formed on commercially pure tit
anium at 700 degreesC in flowing air. The geometries considered herein had
characteristic dimensions that were appropriately sized to match the thickn
ess of the oxide scale and were fabricated into shapes of solid and hollow
cylinders and external and internal wedges. Scanning-electron microscopy, (
SEM) image analysis was used to measure the oxide-layer thickness and the P
illing-Bedworth ratio (PBR) as a function of time. An effective diffusion c
oefficient was determined from one-dimensional planar oxide-thickness data
and experimentally obtained PER values served as the necessary input to a s
olid-state diffusion model, which was modified to account for the volumetri
c expansion of the oxide. The model results demonstrate the competing influ
ences of oxide expansion and curvature effects. In addition, the predictive
capability of the model, for the case of a solid cylinder, was shown to un
derpredict experimental results, whereas, scale growth on the inner surface
of a hollow cylinder was overpredicted. The differences are attributed pri
marily to an effective diffusion coefficient that varies with the scale mor
phology. An oxide layer grown on an outside surface of a solid cylinder or
an external wedge was found to have a structure similar to one-dimensional
planar-oxide growth. On the contrary, scale developed on the inside surface
of a hollow cylinder or an internal wedge was observed to be more compact.