A Note on the Impact of a Jet on a Porous Wall

The problem of determining the free surface of a jet of idealfluid which is incident on a porous wall is reconsidered. Considerationof the w and dw/dz hodograph planes reveals a curved boundarywhich cannot be conformally transformed onto a simple regionusing standard transformations. The use of a generalized Schwarz-Christoffeltransformation, however, enables this shape to be mapped ontoa half-plane and, when appropriate boundary conditions are applied,results in the free surface being described by an ordinary differentialequation. Numerical and asymptotic solutions to this equationare given and a comparison with previous results is made.     

A reaction-diffusion model for autocatalytic polymerization: I. Permanent form travelling waves

As a simple model for radical chain polymerization, the authorsstudy a system of coupled reaction-diffusion equations in whichthe reaction terms are autocatalytic and one of the diffusivities,representative of the evolving polymer structure, vanishes ata finite and nonzero polymer concentration. The existence ofa family of travelling wave solutions to the evolution equationsis proved, and some properties of these waveforms are derived.     

Extremely High Concentration Dopant Diffusion in Silicon

Over a fairly wide range of concentrations the diffusion coefficientsof arsenic and boron in silicon grow linearly with concentration.At very high concentrations, however, precipitation or clusteringeffects cause a levelling off or drop in the diffusivity. Asymptoticmethods are used to analyse these effects both as small perturbationsand when they dominate.     

The free energy differences between 3-point water models

(Molecular Physics, 1998, 94, 717–725)