A mathematical model for the dissolution of stoichiometric particles in multi-component alloys
نویسندگان
چکیده
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 approximated by a model for particle dissolution in binary alloys. Subsequently, we propose a numerical method to solve the coupled dissolution problem. We end with some examples of hypothetical applications from metallurgy.
منابع مشابه
A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys
A sharp interface method is proposed for the dissolution of stoichiometric particles in multi-component alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. In the mathematical model, a number of non-linearly coupled diffusion equations are given to determine the position of the particle interface and the interfacial concentrations. A level set method ...
متن کاملA Mathematical Model for the Dissolution of Particles in Multi-Component Alloys
Dissolution of stoichiometric multi-component particles is an important process ocurring during the heat treatment of as-cast aluminium alloys prior to hot extrusion. A mathematical model is proposed to describe such a process. In this model equations are given to determine the position of the particle interface in time, using a number of diffusion equations which are coupled by nonlinear bound...
متن کاملA mathematical model for the dissolution of particles in multi - componentalloysFred
Dissolution of stoichiometric multi-component particles is an important process ocurring during the heat treatment of as-cast aluminium alloys prior to hot extrusion. A mathematical model is proposed to describe such a process. In this model equations are given to determine the position of the particle interface in time, using a number of diiusion equations which are coupled by nonlinear bounda...
متن کاملA numerical method to compute the dissolution of second phases in ternary alloys . Report 97 - 53
Copies of these reports may be obtained from the bureau of the Faculty of Technical Math-A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-site. They are located in the directory /pub/publications/tech-reports at ftp.twi.tudelft.nl A numerical method to compute the dissolution of second phases in ternary alloys Abstract Dissolution of stoichiometric mul...
متن کاملDevelopment of a Mathematical Model for Prediction of Pollutants Emission in D. I. Diesel Engines
Major pollutants emission from Direct-Injection (D.I) diesel engines are predicted by means of a mathematical model. In order to construct such a model, an integral Multi-Zone Combustion Model (MZCM) is formulated, which basically consists of jet mixing and combustion submodels. In MZCM, variation of injection pressure is considered. Also time period of ignition delay is predicted by considerin...
متن کامل