Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics (CROSBI ID 727696)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Beneš, Michal ; Pažanin, Igor ; Radulović, Marko ; Rukavina, Borja
engleski
Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics
In this talk, we consider the unsteady flow of a micropolar fluid through a thin pipe with the nonzero boundary condition for microrotation. We consider 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.
Micropolar fluid ; Unsteady flow ; Nonzero boundary condition ; Existence and uniqueness result ; Asymptotic approximation
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Podaci o prilogu
71-71.
2022.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
7th Croatian Mathematical Congress
predavanje
01.01.2022-01.01.2022
Split, Hrvatska