Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00357759" target="_blank" >RIV/68407700:21110/22:00357759 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.amc.2022.127184" target="_blank" >https://doi.org/10.1016/j.amc.2022.127184</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2022.127184" target="_blank" >10.1016/j.amc.2022.127184</a>

Result language
angličtina
Original language name
Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics
Original language description
In this paper, we consider the unsteady flow of a micropolar fluid through a thin pipe with the nonzero boundary condition for microrotation. We first prove the well-posedness of the corresponding initial-boundary value problem governing the flow. Then, using asymptotic analysis with respect to the pipe’s thickness, we construct the higher-order approximation of the solution. The proposed approximation is given in explicit form, taking into account the effects of the boundary conditions, the micropolar nature of the fluid as well as the time derivative. A detailed study of the boundary layers in the vicinity of the pipe’s ends is also provided along with a numerical example illustrating the behaviour of the derived asymptotic solution.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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