March 3, 2026Open Access

Dusty-Gas Model Conservation Law and Approximate Analytical Solutions for H 2 − H 2 O Transport in the SOFC Anode Support Layer

Key Points

The conservation law shows an exact relationship between total pressure and hydrogen molar fraction in the anode.
Approximate analytical solutions for hydrogen molar fraction and total pressure have been derived using the conservation law.
The study addresses the pressure gradient condition within the anode transport layer, enabling simplifications in the model.
Implications include potential applications of the derived solutions to enhance the efficiency of SOFC technologies.

Abstract

A complete Dusty-Gas Model for the H2–H2O mixture in the anode transport layer of the anode-supported SOFC is considered. An exact conservation law relating the total pressure and the hydrogen molar fraction at any point in 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. Possible appliucations of the solutions are discussed. A condition for neglecting the pressure gradient is derived.

Dusty-Gas Model Conservation Law and Approximate Analytical Solutions for H 2 − H 2 O Transport in the SOFC Anode Support Layer

Key Points

Abstract

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