Geometrical tools for teaching azeotropy using simplified thermodynamic models

Construction of Thermodynamic Models for Elementary Teaching

a study on thermodynamic models for simulation of 1,3 butadiene purification columns

attempts have been made to study the thermodynamic behavior of 1,3 butadiene purification columns with the aim of retrofitting those columns to more energy efficient separation schemes. 1,3 butadiene is purified in two columns in series through being separated from methyl acetylene and 1,2 butadiene in the first and second column respectively. comparisons have been made among different therm...

Geometrical Models for Substitutions

We consider a substitutive version of the Arnoux-Yoccoz Interval Exchange Transformation (IET) related to the Tribonacci substitution. We construct the so-called stepped lines associated to the fixed points of the substitution in the Abelianisation (symbolic) space. We analyse various projections of the stepped line recovering the Rauzy Fractal, a Peano Curve related to the work of Arnoux [1], ...

Geometrical Tools for Pdes on a Surface

This is an excerpt from my paper with A. Mahalov [1]. PDE theories with Riemannian geometry are long studied subject — c.f. for example the texts cited in the bibliography. Here, I only present a very brief and elementary explanation, mainly about differential operators on a 2D surface. Generalization to higher dimension needs more caution. Let M denote a 2-dimensional, compact, Riemannian mani...

3D Tomographic Reconstruction Using Geometrical Models

We address the issue of reconstructing an object of constant interior density in the context of 3D tomography where there is prior knowledge about the unknown shape. We explore the direct estimation of the parameters of a chosen geometrical model from a set of radiographic measurements, rather than performing operations (segmentation for example) on a reconstructed volume. The inverse problem i...