Modeliranje transporta ob elektrodah za merjenje aktivnosti elektrokatalizatorjev

Vodeb, Ožbej (author), Gaberšček, Miran (mentor)

V delu bo predstavljen matematični opis transporta gibalne količine in snovi pri uporabi rotirajočih elektrod, bolj poznanih pod angleškim izrazom »rotating disk electrode« ali RDE. Za opis se bom poslužil matematičnih zvez iz hidrodinamike, to so Navier-Stokesove enačbe, ter zvez iz prenosa snovi, to je 1. in 2. Fickov zakon. Sistem, ki ga rešujemo, je za iskanje analitične rešitve pretežek in se zato poslužujemo numeričnih metod. Za reševanje problema hitrostnega profila ob elektrodi se poslužujemo psevdo-analitičnih metod, ki nam potem dajo enačbe za opis hitrosti v sistemu. S poznavanjem hitrostnega profila lahko potem opišemo sam prenos snovi v sistemu. Izvedel bom tudi oceno numerične napake pri uporabljenih metodah.

• Language: Slovenian
• Keywords: elektrokemija, numerične simulacije, transportni pojavi
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FKKT - Faculty of Chemistry and Chemical Technology
• Year: 2020
• PID: 20.500.12556/RUL-119521
• COBISS.SI-ID: 28316675
• Publication date in RUL: 09.09.2020

Secondary language

• Language: English
• Title: Modeling of transport at the electrodes used for determination of electrocatalysts activity

Abstract

In this work, I will present a mathematical treatment of the transport phenomena occurring at a rotating disk electrode, also known as RDE. For the treatment I will use known laws of hydrodynamics, such as Navier-Stokes equations, and laws of mass transport, namely Fick's laws. The system in question is hard to solve analytically, so we will use numerical methods to solve our problem. First we consider the velocity profile at the electrode. This is done by pseudo-analytical mathematical treatment. Then we use the explicit forward Euler method to solve the partial differential equation for mass transport. Finally, the numerical error is also considered.

• Keywords: electrochemistry, numerical simulation, transport phenomena