Mathematical models for particle dissolution in metallic alloys

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...

A mathematical model for the dissolution of stoichiometric particles in multi-component alloys

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...

Diffusion and dispersion of numerical schemes for Hyperbolic problems

In the following text an overview is given of numerical schemes which can be used to solve hyperbolic partial differential equations. The overview is far from extensive and the analysis of the schemes is limited to the application on the simplest hyperbolic equation conceivable, namely the so called 'one dimensional simple wave equation'. In...

Local Scour: Damping of turbulence parameters in relaxation zone

The general purpose of this research project is to model mathematically the scour-hole downstream of a structure (2-D). The model has to simulate the development of the scour as a function of time. Basically two models are necessary namely a flow model and a morphological model. The latter has to describe the bed- and suspended load and the...

The effect of the cell-Reynolds number in the numerical solution of the convection-diffusion equation

Internal memo. In the numerical solution of convection-diffusion equations a difficulty is commonly met in the occurrence of "standing waves" or spatial oscillations of a numerical origin. This has given rise to a considerable number of methods designed to avoid oscillations, often by means of upstream differencing or a similar approach in...

A Simple Diffusion-Controled Model of Mixing Across a Stable Density Interface

Mixing across a stable density interface caused by a shear stress externally acting on a two-layer fluid initially at rest is modelled using the turbulent-diffusion concept. The influence of a (relatively weak) longitudinal pressure gradient is also considered. The central point of view developed is that the mixed layer can be only weakly...

A model of turbulent diffusion

Mathematical description of turbulent diffusion with constant mean velocity gradient.