One-Dimensional Model and Numerical Solution to the Viscous and Heat-Conducting Reactive Micropolar Real Gas Flow and Thermal Explosion

Bašić-Šiško, Angela; Črnjarić-Žic, Nelida

doi:10.1007/s40997-022-00498-w

Cited by 4 publications

(1 citation statement)

References 39 publications

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“…Let us first give some important information about the system, which is derived from work [1]. The system is given in mass Lagrangian coordinates and the spatial coordinate x is dimensionless, whereby L > 0 is the dimension-bearing constant obtained during the derivation of the model.…”

Section: Introduction 1introduction To the Topics Covered In This Papermentioning

confidence: 99%

Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Bašić-Šiško,

Dražić

2024

Mathematics

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In this paper, we analyze a quasi-linear parabolic initial-boundary problem describing the thermal explosion of a compressible micropolar real gas in one spatial dimension. The model contains five variables, mass density, velocity, microrotation, temperature, and the mass fraction of unburned fuel, while the associated problem contains homogeneous boundary conditions. The aim of this work is to prove the uniqueness theorem of the generalized solution for the mentioned initial-boundary problem. The uniqueness of the solution, together with the proven existence of the solution, makes the described initial-boundary problem theoretically consistent, which provides a basis for the development of numerical methods and the engineering application of the model.

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Section: Introduction 1introduction To the Topics Covered In This Papermentioning

confidence: 99%

Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Bašić-Šiško,

Dražić

2024

Mathematics

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Global existence theorem of a generalized solution for a one‐dimensional thermal explosion model of a compressible micropolar real gas

Bašić‐Šiško,

Dražić

2024

Math Methods in App Sciences

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We consider 1‐D thermal explosion of a compressible micropolar real gas, assuming that the initial density and temperature are bounded from below with a positive constant and that the initial data are sufficiently smooth. The starting problem is transformed into the Lagrangian description on the spatial domain and contains homogeneous boundary conditions. In this work, we prove that our problem has a generalized solution for any time interval . The proof is based on the local existence theorem and the extension principle.

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Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions

Bašić-Šiško

Črnjarić-Žic

2022

Journal of Mathematical Analysis and Applications

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One-Dimensional Model and Numerical Solution to the Viscous and Heat-Conducting Reactive Micropolar Real Gas Flow and Thermal Explosion

Cited by 4 publications

References 39 publications

Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Global existence theorem of a generalized solution for a one‐dimensional thermal explosion model of a compressible micropolar real gas

Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions

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