Multi-velocity and multi-temperature model of the mixture of polyatomic gases issuing from kinetic theory

Pavić-Čolić, Milana

doi:10.1016/j.physleta.2019.06.009

Cited by 10 publications

(3 citation statements)

References 16 publications

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“…However, Al 2 O 3 is commonly used for coating the self-healing ceramics in TBCs [82]. To enhance their corrosion and oxidation resistance, silicon-containing particles such as MoSi 2 and SiC have been coated by Al 2 O 3 [83][84][85].…”

Section: Coating Methodsmentioning

confidence: 99%

A review on development and application of self-healing thermal barrier composite coatings

Abuchenari

Ghazanfari

Siavashi

et al. 2020

jcc

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To improve the hot section metallic parts durability in advanced gas-turbine operating in power generation and aircraft, thermal barrier coating (TBCs) are extensively utilized to increase their lifetime. The reason for applying coatings on these components is the improvement of their physical properties, mechanical properties, and outer look. The self-repairing ability of materials is very promising due to expanding the service time of materials and it is also beneficial in terms of human safety and financial aspects. In this review article, structure, properties, limitations, and the modification approaches of TBCs were studied. In addition, self-healing agents for TBCs including SiC, MoSi 2 , TiC were introduced, which release their oxide by reaction with air and O 2 that are able to heal the pores/cracks in the coatings. In this regard, their coating methods, mechanism, and applications in TBCs were reviewed.

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Section: Coating Methodsmentioning

confidence: 99%

A review on development and application of self-healing thermal barrier composite coatings

Abuchenari

Ghazanfari

Siavashi

et al. 2020

jcc

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“…Only in the special case of binary mixture it was determined the explicit form of the source terms [94][95][96]. Recently [97], using the kinetic theory approach, it was determined the non-linear structure of source terms in the multi-temperature mixture. Because they were structurally different from those obtained by RET, compatibility was achieved in a linear approximation of both.…”

Section: Molecular Extended Thermodynamics-application Of the Maximum...mentioning

confidence: 99%

Open Mathematical Aspects of Continuum Thermodynamics: Hyperbolicity, Boundaries and Nonlinearities

2020

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Thermodynamics is continuously spreading in the engineering practice, which is especially true for non-equilibrium models in continuum problems. Although there are concepts and approaches beyond the classical knowledge, which are known for decades, their mathematical properties, and consequences of the generalizations are less-known and are still of high interest in current researches. Therefore, we found it essential to collect the most important and still open mathematical questions that are related to different continuum thermodynamic approaches. First, we start with the example of Classical Irreversible Thermodynamics (CIT) in order to provide the basis for the more general and complex frameworks, such as the Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and Rational Extended Thermodynamics (RET). Here, we aim to present that each approach has its specific problems, such as how the initial and boundary conditions can be formulated, how the coefficients in the partial differential equations are connected to each other, and how it affects the appearance of nonlinearities. We present these properties and comparing the approach of NET-IV and RET to each other from these points of view. In the present work, we restrict ourselves on non-relativistic models.

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“…An interesting reader can consult [39] and references therein. In addition, the formal results spread to the mixture of polyatomic gases [33,11,12], that may be reactive as well [13,8].…”

Section: Introductionmentioning

confidence: 99%

On the Cauchy problem for Boltzmann equation modelling a polyatomic gas

Gamba,

Pavić-Čolić

2020

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In the present manuscript we consider the Boltzmann equation that models a polyatomic gas by introducing one additional continuous variable, referred to as microscopic internal energy. We establish existence and uniqueness theory in the space homogeneous setting for the full non-linear case, under an extended Grad assumption on transition probability rate, that comprises hard potentials for both the relative speed and internal energy with the rate in the interval (0, 2], which is multiplied by an integrable angular part and integrable partition functions. The Cauchy problem is resolved by means of an abstract ODE theory in Banach spaces, for an initial data with finite and strictly positive gas mass and energy, finite momentum, and additionally finite k * polynomial moment, with k * depending on the rate of the transition probability and the structure of a polyatomic molecule or its internal degrees of freedom. Moreover, we prove that polynomially and exponentially weighted Banach space norms associated to the solution are both generated and propagated uniformly in time.

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Multi-velocity and multi-temperature model of the mixture of polyatomic gases issuing from kinetic theory

Cited by 10 publications

References 16 publications

A review on development and application of self-healing thermal barrier composite coatings

A review on development and application of self-healing thermal barrier composite coatings

Open Mathematical Aspects of Continuum Thermodynamics: Hyperbolicity, Boundaries and Nonlinearities

On the Cauchy problem for Boltzmann equation modelling a polyatomic gas

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