Mathematical modeling of industrial ammonia synthesis using nonlinear reactiondiffusion equations
Abstract
This study proposes a mathematical model for ammonia synthesis based on nonlinear reactiondiffusion equations. The model integrates degenerate gas diffusion in the reactor with Haber-Bosch reaction kinetics to explore efficiency and environmental sustainability. A theoretical analysis is conducted to establish the existence and stability of global solutions for the underlying degenerate parabolic system. Numerical simulations were validated against industrial data from Navoiyazot facility in Uzbekistan, demonstrating 98.2% accuracy in concentration profiles and outperforming constant-diffusivity models by 12–15% in low-concentration regions.
Fields of Study & Subjects
Ammonia Synthesis and Nitrogen Reduction
Subcritical and Supercritical Water Processes
Catalysts for Methane Reforming
Publication details
- Journal / source
- Nanosystems Physics Chemistry Mathematics
- Publisher
- ITMO University
- Volume
- 16
- Issue
- 6
- Pages
- 749–754
- Publication date
- 6 January 2026