Article
| Title: | Mathematical modelling of plasma-assisted energy and fuel enhancement (English) |
| Author: | Singh, Abhisek Kumar |
| Author: | Kumar, Punit |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 4 |
| Year: | 2026 |
| Pages: | 539-555 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Plasma assisted energy and fuel enhancement has emerged as a promising interdisciplinary domain combining plasma physics, nonlinear dynamics, chemical kinetics, and applied mathematics to improve fuel efficiency, combustion stability, and emission reduction. Nonthermal plasmas provide highly energetic electrons capable of activating molecular species without significantly increasing bulk gas temperature, thereby enabling novel reaction pathways inaccessible through conventional thermal processes. This paper presents a comprehensive mathematical framework for modelling plasma-assisted fuel enhancement, emphasizing the coupling between plasma discharge physics, reactive species generation, transport phenomena, and fuel oxidizer chemistry. Governing equations based on fluid, kinetic, and quantum-informed approaches are formulated to describe electron energy distribution, ionization dynamics, radical formation, and plasma-fuel interactions. Reduced-order models, stability analysis, and scaling laws relevant to plasma-assisted combustion and fuel miscibility are discussed. The work highlights how mathematical modelling supports optimization of plasma parameters, predicts system performance, and enables translation of plasma-based fuel technologies toward sustainable energy applications. (English) |
| Keyword: | kinetic theory |
| Keyword: | stability and bifurcation analysis |
| Keyword: | multiscale modelling |
| Keyword: | transport equations |
| Keyword: | statistical distribution functions |
| MSC: | 35B35 |
| MSC: | 35Q92 |
| MSC: | 65M12 |
| MSC: | 76X05 |
| MSC: | 82C40 |
| DOI: | 10.21136/AM.2026.0016-26 |
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| Date available: | 2026-09-15T09:43:52Z |
| Last updated: | 2026-09-21 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153748 |
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