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Additionally, we present an analytical model which couples elastic and creep deformation with a transient diffusion problem, wherein the diffusant species induces swelling of the host lattice.
The process is controlled by transient diffusion, with a concentration-dependent diffusivity and a finite coefficient of convective transfer at the liquid rubber interface.
This paper reports the results of detailed studies of the combined effect of the viscous flow and diffusive flow in the transient diffusion of a mixture containing N species in a capillary, and in the transient adsorption of a mixture of hydrocarbons in an activated carbon particle.
By acquiring a series of images during the course of a transient diffusion process, it is possible to estimate the effective diffusivity of water confined within the pore space of the pellets.
We demonstrate the formulation on a transient diffusion equation with prescribed source terms, inferring the spatially-varying diffusivity of the medium from limited and noisy data.
Over the last decade, boron transient diffusion has been much better understood.
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The developed model incorporates a transient diffusion-dominated transport with a second-order reaction rate constant.
The transient diffusion-limited current at the ring electrode is calculated over significant time intervals and reaction rates for the full range of significant ring sizes using Danckwerts' expression [J. Galceran, S.L. Taylor, P.N. Bartlett, J. Electroanal. Chem. 466 (1999) 15].
Our study on the other hand, suggests that hypoxia-induced metastases arise from cells in tumour region having been subjected to transient diffusion-limited hypoxia.
Such cells can readily escape into the microvasculature as described above, and transient diffusion-limited hypoxia most likely lasts sufficiently long for maximum hypoxia-induced gene up-regulation to occur (Rofstad, 2000).
Our study introduces a need for dividing the diffusion-limited hypoxia into two subcategories: permanent diffusion-limited hypoxia, i.e. diffusion-limited hypoxia resulting in cell death and development of necrotic regions, and transient diffusion-limited hypoxia, i.e. diffusion-limited hypoxia leading to angiogenesis and cell reoxygenation.
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