# Problem 1: "Formation of bubbles from a chemical reaction"

**Academic Coordinator |** Alfredo Bermúdez de Castro , Professor of Applied Mathematics at the University of Santiago de Compostela (USC) and Affiliated Researcher of ITMATI.

**Business Coordinator |** Ángel Rivero Jimenez, Senior scientist at Repsol Technology Center.

**Specialist |** Higuera Antón, Professor in Aeronautical Engineering, Polytechnic University of Madrid (UPM).

**Description |** The proposed problem tries to study a very ubiquitous phenomenon such as the formation of bubbles from a chemical reaction. Specifically, the mathematical model, based on phase field theory, must be developed to analyze the dynamics of formation, growth and release of bubbles in a porous medium with flow. In particular we are interested when the reaction is redox, typical of electrolysis, for example and the objective is to refine and extend a current model to get to use it as a basis for a 3D DNS solver of Stokes, multiphase and multicomponent.

**Scope |** The proposed problem tries to study a very ubiquitous phenomenon such as the formation of bubbles from a chemical reaction (to develop a mathematical model, based on phase field theory).