Geometrical Tools for Teaching Azeotropy Using Simplified Thermodynamic Models

05/30/2020
by   Gustavo Mendes Platt, et al.
0

In this work we propose a geometric view of the azeotropy problem, using some simplified models. We demonstrate that the occurrence of azeotropes in binary mixtures can be viewed-geometrically-as the intersection of curves in the plane (for some models, these curves are parabolas). Furthermore, the idea of functions from the plane to the plane is used to help understand the azeotropic phenomenon. These ideas are illustrated with two simple cases, with one and two azeotropes, allowing the analysis of a unusual thermodynamic behavior-such as double azeotropy-with simple mathematical tools, by undergraduate students in Chemical Engineering courses.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/17/2018

Counting higher order tangencies for plane curves

We prove that n plane algebraic curves determine O(n^(k+2)/(k+1)) points...
research
08/07/2017

A Crossing Lemma for Jordan Curves

If two Jordan curves in the plane have precisely one point in common, an...
research
05/09/2018

Computing basepoints of linear series in the plane

We present an algorithm for detecting basepoints of linear series of cur...
research
06/15/2022

Spiraling and Folding: The Topological View

For every n, we construct two curves in the plane that intersect at leas...
research
02/27/2018

Realization of shift graphs as disjointness graphs of 1-intersecting curves in the plane

It is shown that shift graphs can be realized as disjointness graphs of ...
research
02/25/2021

BGK models for inert mixtures: comparison and applications

Consistent BGK models for inert mixtures are compared, first in their ki...
research
05/27/2020

Seamlessly Integrating Loops That Matter into Model Development and Analysis

Understanding why models behave the way they do is critical to learning ...

Please sign up or login with your details

Forgot password? Click here to reset