質子交換膜燃料電池內傳輸現象之模擬

Simulation of transport phenomena in a proton exchange membrane fuel cell

吳皓煒(How-Wei Wu)

指導教授 ： 許文翰

國立臺灣大學/工學院/工程科學及海洋工程學研究所/碩士(2010年)

https://doi.org/10.6342/NTU.2010.10155

摘要

本論文是應用實驗室所開發對流-擴散-反應數值方法(CDR)來求解二維質子交換膜燃料電池內部的傳輸現象，其中包含電池內部因電化學反應所產生電流之歐姆(Ohmic)方程、各種燃料分佈之濃度(Transport)方程、以及不可壓縮流體傳輸現象之Navier-Stokes方程。此外，亦介紹此數值方法如何能有效地處理因應電池各層結構不同之網格大小的問題，以及在多孔隙材質(Porous Media)中利用界面條件(Interface Condition)聯結電池內部各相鄰結構之傳輸行為。依序作一系列之程式驗證並結合平行計算方法以有效地加快計算之速度。最後，本論文以具實解之二維程式驗證所提出之分析方程得以應用於模擬質子交換膜燃料電池模擬內部的傳輸現象。

關鍵字

對流-擴散-反應 ； 化學反應 ； 多孔隙材質 ； 界面條件

並列摘要

This study is aimed to simulate transport phenomena in a two-dimensional proton exchange membrane fuel cell (PEMFC) by using the convection-diffusion-reaction (CDR) numerical method.This fuel cell simulation involves investigating electrochemical reactions by solving the Ohmic equation,distribution of working media by solving Transport equations,and velocity by solving incompressible Navier-Stokes equations.

I will apply the CDR method to deal with different grids of complicated structure in the fuel cell,and link the transport phenomena of every neighbor structure in the porous media by using the interface condition.I will then confirm the accuracy of the computer program,and apply the parallel computing technique to speed up the computational time.

Finally, I will develop a two-dimensional numerical program with analytical solution for the simulation of PEMFC.

並列關鍵字

convection-diffusion-reaction ； electrochemical reaction ； porous media ； interface condition

參考文獻

[1] Tony W. H. Sheu, S. K. Wang, R. K. Lin, An implicit scheme for solving the convection-

di®usion-reaction equation in two dimensions, J. Comput. Phys., Vol. 164, 123-142, 2000.

[2] W. R. Grove, On voltaic series and the combination of gases by platinum, Philosophical

Magazine, Vol. 14, 127-, 1839.

[11] Dawn M. Bernardi and Mark W. Verbrugge, A Mathematical Model of the Solid-Polymer-