Dusty-gas model conservation law and approximate analytical solutions for H$_2$--H$_2$O transport in the SOFC anode support layer

TL;DR

This paper develops a Dusty-Gas Model for H₂-H₂O transport in SOFC anode layers, deriving a conservation law and approximate solutions to predict pressure and composition, aiding in efficiency analysis.

Contribution

It introduces an exact conservation law and approximate analytical solutions for gas transport in SOFC anodes, enhancing understanding of pressure and composition distribution.

Findings

Derived a conservation law relating pressure and molar fraction.

Obtained approximate analytical solutions for hydrogen molar fraction.

Solutions enable calculation of concentration overpotential.

Abstract

A complete Dusty-Gas Model for the H$_2$--H$_2$O mixture in the anode transport layer of the anode-supported SOFC is considered. An exact conservation law relating the total pressure and hydrogen molar fraction at any point inside the anode to their values in the anode channel is derived. Using this conservation law, approximate analytical solutions for the hydrogen molar fraction and total pressure in the anode transport layer are obtained. The solutions can be used to calculate concentration overpotential.