Mathematical modeling of industrial ammonia synthesis using nonlinear reactiondiffusion equations
https://doi.org/10.17586/2220-8054-2025-16-6-749-754
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.
Keywords
nonlinear reaction-diffusion,
degenerate diffusion,
ammonia synthesis,
Haber-Bosch kinetics,
global stability
Supporting agencies: The authors are grateful to Navoiyazot JSC for providing access to operational data from the industrial ammonia synthesis unit A-15.
About the Authors
J. Khasanov
Urgench State Pedagogical Institute
Uzbekistan
Uzbekistan
Jamshid Khasanov
1A Gurlan str., Urgench 220100
S. Muminov
Mamun University
Uzbekistan
Uzbekistan
Sokhibjan Muminov
2 Bolkhovuz Street, Khiva 220900
S. Iskandarov
Urgench State University named after Abu Rayhan Biruni
Uzbekistan
Uzbekistan
Sarvar Iskandarov
4 Kh. Alimdjan str., Urgench 220100
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Review
For citations:
Khasanov J., Muminov S., Iskandarov S. Mathematical modeling of industrial ammonia synthesis using nonlinear reactiondiffusion equations. Nanosystems: Physics, Chemistry, Mathematics. 2025;16(6):749-754. https://doi.org/10.17586/2220-8054-2025-16-6-749-754
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