Toward Minimal Complexity Models of Membrane Reactors for Hydrogen Production

Area of Science:

• Chemical Engineering
• Reaction Engineering
• Transport Phenomena

Background:

• Membrane reactors are complex 2D systems requiring detailed modeling for transport phenomena.
• Simplification is possible when mass transport within the reactor, not membrane permeation, limits performance.

Purpose of the Study:

• To extend previous findings for methane steam reforming membrane reactors.
• To demonstrate the simplification of 2D models for mass-transport-limited membrane reactors.
• To develop a computationally efficient and accurate method for predicting membrane reactor performance.

Main Methods:

• Extending analytical solutions for simplified 2D membrane reactor models.
• Reducing the simplified 2D model to a 1D model with an enhanced Sherwood number.
• Analyzing the impact of reaction stoichiometry on model simplification and solutions.

Main Results:

• A simplified 2D model admits a straightforward analytical solution for cross-section averaged concentration profiles.
• The simplified 2D model can be reduced to a 1D model with an enhanced Sherwood number.
• The expression for the enhanced Sherwood number is independent of reaction stoichiometry.

Conclusions:

• A versatile and computationally inexpensive tool for accurate membrane reactor performance determination has been developed.
• The simplified modeling approach is applicable across various reaction stoichiometries.
• This work significantly reduces the computational cost for analyzing membrane reactors under mass-transport limitations.