4 citations · 4 across the 3 of their papers we have counts for
3 papers
Random walk models of anisotropic diffusion on rectangular and hexagonal lattices
Luke P. Filippini, Adrianne L. Jenner, Elliot J. Carr
The diffusive transport of particles in anisotropic media is a fundamental phenomenon in computational, medical and biological disciplines. While deterministic models (partial diff…
Simplified models of diffusion in radially-symmetric geometries
Luke P. Filippini, Matthew J. Simpson, Elliot J. Carr
We consider diffusion-controlled release of particles from -dimensional radially-symmetric geometries. A quantity commonly used to characterise such diffusive processes is the p…
Analytical formulas for calculating the thermal diffusivity of cylindrical shell and spherical shell samples
Elliot J. Carr, Luke P. Filippini
Calculating the thermal diffusivity of solid materials is commonly carried out using the laser flash experiment. This classical experiment considers a small (usually thin disc-shap…