Mathematical modeling of industrial ammonia synthesis using nonlinear reactiondiffusion equations

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.

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