Pregled bibliografske jedinice broj: 1186162
One-dimensional model of viscous and heat-conducting real micropolar gas flow
One-dimensional model of viscous and heat-conducting real micropolar gas flow // Simpozij studenata doktorskih studija PMF-a - Knjiga sažetaka / 5. PhD Student Symposium 2021 - Book of Abstracts
Zagreb, Hrvatska, 2021. str. 296-397 (poster, domaća recenzija, sažetak, znanstveni)
CROSBI ID: 1186162 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
One-dimensional model of viscous and heat-conducting
real micropolar gas flow
Autori
Bašić-Šiško, Angela
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Simpozij studenata doktorskih studija PMF-a - Knjiga sažetaka / 5. PhD Student Symposium 2021 - Book of Abstracts
/ - , 2021, 296-397
Skup
5. Simpozij studenata doktorskih studija PMF-a = 5th Faculty of Science PhD Student Symposium
Mjesto i datum
Zagreb, Hrvatska, 24.04.2021. - 25.04.2021
Vrsta sudjelovanja
Poster
Vrsta recenzije
Domaća recenzija
Ključne riječi
micropolar fluid ; real gas
Sažetak
Classical fluid flow models based solely on Navier-Stokes equations are widely used to analyze the behavior of fluids at the macroscopic level. Recently, with the progress of technology, there is a need for models that more accurately describe the behavior of fluids at the micro-level by considering local micro effects. In the micropolar fluid model, additional fields of internal structure such as body torque per unit mass and couple stress are defined. Unlike other attempts at modeling the micro-continuum, the micropolar fluid model proved to be applicable and suitable for analysis since only microrotations are taken into account, while microdeformations are neglected. Instead of the ideal gas model assumed in the previous studies of compressible micropolar fluid, in this work we consider a real gas characterized by a generalized equation of state in which the pressure is proportional to the product of the temperature and a power of the density. We first present a general three- dimensional model of a viscous, heat-conducting micropolar real gas that is polytropic in the thermodynamic sense. Then we consider a special case of one- dimensional flow, for which we introduce the conditions under which the governing system of equations allows the existence and uniqueness of the generalized solution. We also analyze our problem numerically whereby we construct approximate solutions by the Faedo- Galekin method and discuss the influence of micropolarity and the generalized equation of state on the fluid behavior using several numerical experiments.
Izvorni jezik
Engleski
Znanstvena područja
Matematika