article · Results in Materials
This research investigates thermal criticality and dissipation during combustion using a mathematical model of a hyperbolic tangential fluid flow. The model incorporates a two-step reaction mechanism and a quadratic Boussinesq approximation to evaluate internal heat transfer under convective boundary conditions. To determine velocity and temperature behaviours, the governing energy and momentum equations were transformed and solved numerically using a Galerkin approximation paired with a weighted residual scheme. The findings show that several operational variables influence combustion efficiency. Specifically, raising the Frank-Kamenetskii parameter, Brinkman number, Weissenberg number, activation energy, activation ratio term, and the second step reaction term assists in the complete combustion of hydrocarbons. Because these factors drive internal heat generation, the study emphasises the necessity of managing them closely to prevent dangerous thermal blow-up within the system.
Combustion processes require careful thermal management to maximise fuel efficiency while avoiding catastrophic failures. By modelling how complex fluid characteristics and reaction parameters affect heat dissipation, this work clarifies the operating conditions needed for complete hydrocarbon burning. These insights help engineers understand the internal mechanisms that cause extreme temperature spikes, offering guidance for safer thermal system designs.
This work represents early-stage theoretical modelling that could inform the design and safety controls of industrial combustion systems dealing with non-Newtonian hydrocarbon fluids. Potential end users include combustion engineers and thermal system designers who need to regulate reaction parameters to prevent equipment failure. However, the abstract does not indicate any immediate application pathway, physical prototyping, or direct commercial development.
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This study explores thermal criticality and dissipation involving a two-step reaction in a hyperbolic tangential fluid flow and quadratic Boussinesq approximation to model the complex internal heat transfer mechanisms during combustion. Subject to suitable convective boundary conditions, the transformed energy and momentum equations are numerically solved using Galerkin approximation integration coupled with a weighted residual scheme. The outcomes are disseminated using a variety of graphs to illustrate for parametric sensitivities of the thermal and velocity profiles. Based on the results, it is discovered that increases in the Frank-Kamenetskii parameter, Brinkman number, Weissenberg number, activation energy, activation ratio term, and second step term all aid in the complete combustion of hydrocarbons. Monitoring all terms that stimulate internal heat generation is essential to avoid system blow-ups.
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DOI: 10.1016/j.rinma.2024.100565
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