Analysis of viscous incompressible flows of micropolar fluids with thermal convection and mixed boundary conditions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00365169" target="_blank" >RIV/68407700:21110/23:00365169 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1002/pamm.202200229" target="_blank" >https://doi.org/10.1002/pamm.202200229</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/pamm.202200229" target="_blank" >10.1002/pamm.202200229</a>

Result language

angličtina

Original language name

Analysis of viscous incompressible flows of micropolar fluids with thermal convection and mixed boundary conditions

Original language description

The Navier-Stokes equations do not take into account the microstructure of the fluid in the sense that they do not consider the angular momentum of small particles of the fluid due to their rotation. The model of micropolar fluid represents a generalization of the well-established Navier-Stokes equations, in such a way that it introduces a new kinematic vector field called microrotation (the angular velocity field of rotation of particles) and adds a new vectorial equation, expressing the conservation of the angular momentum. We will be concerned with the initial boundary value problem for the flow of micropolar heat conducting fluids in a two-dimensional channel with mixed boundary conditions. The considered boundary conditions are of three types: the Dirichlet boundary conditions on the inflow, the Navier type conditions on solid surfaces and Neumann-type boundary conditions on the outflow of the channel. The homogeneous Dirichlet boundary conditions on solid surfaces for the microrotation is commonly used in practice. However, imposing such condition is doubtful from the physical point of view. For that reason, more general boundary conditions for the microrotation were proposed throughout the engineering literature to take into account the rotation of the microelements on the solid boundary, linking the velocity and microrotation through the so-called boundary viscosity. The well-posedness of problems with different types of boundary conditions for microrotation are completely unexplored. The present contribution is devoted to the analysis of the existence and uniqueness of the solution.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PAMM (Proceedings in Applied Mathematics and Mechanics)

ISSN

1617-7061

e-ISSN

1617-7061

Volume of the periodical

22

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

6

Pages from-to

1-6

UT code for WoS article

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EID of the result in the Scopus database

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