Searched for: subject:"self%5C-similar%5C+solution"
(1 - 6 of 6)
document
Vermolen, F.J. (author)
In this paper the Zener theory on precipitate growth in supersaturated alloys for planar, cylindrical and spherical geometries is extended to multi-component alloys. The obtained solutions can be used to check the results from numerical simulations under simplified conditions. Further, the multi-component solutions are used to derive the quasi...
report 2006
document
Vermolen, F.J. (author), Vuik, C. (author)
A general model for the dissolution of particles in multi-component alloys is proposed and analyzed. The model is based on diffusion equations with cross-terms for the several species, combined with a Stefan condition as the equation of motion of the interface between the particle and diffusant phase. To facilitate the analysis we use a...
report 2003
document
Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)
This paper is a review of a suite of mathematical models of increasing complexity on particle dissolution in metallic alloys. This work deals with models for multi-component particle dissolution in multi-component alloys, where various chemical species diffuse simultaneously, and a two-dimensional model incorporating interfacial reactions as in...
report 2002
document
Vermolen, F.J. (author), Zitha, P.L.J. (author), Bruining, J. (author)
In this paper we propose and analyse a simplified mathematical model on the effect of a fully miscible preflush on gel-placement in an oil reservoir. The approach is based on a segregated flow model even if the two phases are fully miscible. For the rate of a constant injection rate condition, fully implicit solutions can be constructed....
report 2001
document
Vermolen, F.J. (author), Vuik, C. (author), van der Zwaag, S. (author)
A general model for the dissolution of stoichiometric particles, taking into account the influences of cross-diffusion, in multi-component alloys is proposed and analyzed using a diagonalisation argument. We give a self-similar solution for the resulting Stefanproblem and state when the solutions are mass-conserving. We also give criteria for...
report 2001
document
Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)
A general model for the dissolution of stoichiometric particles in multi-component alloys is proposed and analysed. We introduce the concept of mass-conserving solutions and give a self-similar solution for the resulting Stefan-problem. Furthermore, we show that particle dissolution in multi-component alloys can under certain circumstances be...
report 2001
Searched for: subject:"self%5C-similar%5C+solution"
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