Naslov
Compressible micropolar fluid flow – solvability of the model

Autori
Bašić-Šiško, Angela

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4th MY FIRST CONFERENCE - Book of Abstracts / - , 2020, 5-5

Skup
4th edition of annual conference for doctoral students of engineering and technology „MY FIRST CONFERENCE“

Mjesto i datum
Rijeka, Hrvatska, 24.09.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
micropolar fluid flow ; generalized solution ; local existence and uniqueness ; numerical solution

Sažetak
Classical fluid flow models are used extensively to analyze fluid behaviour at the macroscopic level. Recently, with the advancement of technology, there is a need for models that will more faithfully describe the behaviour of fluids at the micro level by taking into account local microeffects. In the micropolar fluid model, additional fields of internal structure, body torque per unit mass and couple stress, are defined. Only microrotations are taken into account, while deformations are neglected. In this case, the law of conservation of total angular momentum applies - in addition to the linear part resulting from external influences, the intrinsic angular momentum must be taken into account. Here we first present a general 3D model of a homogeneous isotropic compressible heatconducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. Then we consider a special case of one-dimensional flow, for which we present the conditions under which the governing system of equations will allow the local existence and uniqueness of the generalized solution. The proof of the existence is constructive as it uses Faedo-Galerkin approximations in the process. This approach enables us to compute a numerical solution and visualize the behaviour of the fluid.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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