Applications of computational models for simulation of condensation in a battery

master's thesis

• Title (croatian): Primjena računarskih modela za simulacije kondenzacije u bateriji
• Author: Klara Pešić
• Mentor: Andrej Novak (mentor)
• Committee member: Marko Tomislav Cvitaš (predsjednik povjerenstva)
• Committee member: Mario Basletić (član povjerenstva)
• Committee member: Emil Tafra (član povjerenstva)
• Committee member: Andrej Novak (član povjerenstva)
• Committee member: Tamara Nikšić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2023-09-28, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

In this thesis, we try to develop a flexible model for condensation based on the Cahn-Hilliard equation that can be used for a wide range of inital conditions. We start by developing a temperature coupled potential representing the free energy of the system, and implementing it into the appropriate Cahn-Hilliard-Stokes system of equations. Next, we formulate simplified expressions for the density and the viscosity of mixture and add the heat equation to the system for later testing purposes. The system of equations is simulated using FreeFEM++, resulting in four experiments demonstrating different aspects of this condensation model. The results are promising and suggest that the Cahn-Hilliard equation can be used to simulate this phase transition.

Abstract (croatian)

U ovom diplomskom radu pokušavamo razviti fleksibilan model za kondenzaciju temeljen na Cahn-Hilliardovoj jednadžbi koji se može koristiti za širok raspon početnih uvjeta. Počinjemo razvijanjem temperaturno spregnutog potencijala koji predstavlja slobodnu energiju sustava i implementiramo ga u odgovarajući Cahn-Hilliard Stokesov sustav jednadžbi. Zatim formuliramo pojednostavljene izraze za gustoću i viskoznost smjese i dodajemo toplinsku jednadžbu sustavu za kasnije potrebe testiranja. Sustav jednadžbi je simuliran korištenjem FreeFEM++, što je rezultiralo s četiri eksperimenta koji pokazuju različite aspekte ovog modela kondenzacije. Rezultati su obećavajući i sugeriraju da se Cahn-Hilliardova jednadžba može koristiti za simulaciju ovog faznog prijelaza.

• Keywords: condensation; Cahn-Hilliard equation; Finite Element Method
• Keywords (english): kondenzacija; Cahn-Hilliardova jednadžba; metoda konačnih elemenata
• Language: english
• URN:NBN: urn:nbn:hr:217:881266
• Study programme: Title: The University Integrated Undergraduate and Graduate Programme in Physics; Research Physics; specializations in: Research Physics; Course: Research Physics; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: sveučilišni magistar fizike (sveučilišni magistar fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Embargoed access; Embargo expiration date: 2025-09-19
• Created on: 2024-01-30 13:58:06