Development and Validation of a Comprehensive Mathematical Framework and Software System for Optimal Design of Dry Gas Filters in Natural Gas Applications

This paper presents an integrated framework for the mathematical modeling, parameter calibration, and software implementation for optimal design of dry gas filters in natural gas applications. The developed model, based on the Darcy–Forchheimer equation, incorporates calibrated parameters 𝜅 = 7.2 𝑥 10−13𝑚2, 𝛽 = 1250 𝑚 -1 obtained from experimental data in accordance with the Iranian Gas Standard IGS-M-PM-111(2). Validation results demonstrate a prediction accuracy of 99.2% with a root mean square error of 7.5 Pa. A multi-platform software system including a computational core, web interface, and desktop applications enables efficient filter design optimization. The framework provides capabilities for sensitivity analysis, design optimization, lifetime prediction, and energy consumption analysis, establishing itself as a valuable tool for engineers and researchers in the natural gas industry.