62 citations · 405 across the 26 of their papers we have counts for
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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…
Exponential and Weibull models for spherical and spherical-shell diffusion-controlled release systems with semi-absorbing boundaries
Elliot J. Carr
We consider the classical problem of particle diffusion in -dimensional radially-symmetric systems with absorbing boundaries. A key quantity to characterise such diffusive trans…
Numerical investigation into coarse-scale models of diffusion in complex heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Computational modelling of diffusion in heterogeneous media is prohibitively expensive for problems with fine-scale heterogeneities. A common strategy for resolving this issue is t…
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media
Elliot J. Carr
Multispecies contaminant transport in the Earth's subsurface is commonly modelled using advection-dispersion equations coupled via first-order reactions. Analytical and semi-analyt…
Advection improves homogenized models of continuum diffusion in one-dimensional heterogeneous media
Elliot J. Carr
We propose an alternative method for one-dimensional continuum diffusion models with spatially variable (heterogeneous) diffusivity. Our method, which extends recent work on stocha…
Rear-surface integral method for calculating thermal diffusivity: finite pulse time correction and two-layer samples
Elliot J. Carr, Christyn J. Wood
We study methods for calculating the thermal diffusivity of solids from laser flash experiments. This experiment involves subjecting the front surface of a small sample of the mate…