engleski

Rigorous derivation of a higher-order model describing the nonsteady flow of a micropolar fluid in a thin pipe

This is a joint work with Prof. Michal Beneš and Prof. Igor Pažanin. In this talk, we will present a rigorous derivation of the model describing the nonsteady flow of a micropolar fluid through a pipe with arbitrary cross-section. Based on the existence and uniqueness result for the nonstationary micropolar Poiseuille solution in an infinite cylinder, we will construct a complete asymptotic expansion of the solution up to an arbitrary order, study the boundary layers in time and justify the usage of the formally derived asymptotic model via error estimate. Finally, we will present some numerical examples in the case of a circular cross-section and external force functions depending only on time.

asymptotic analysis ; thin pipe ; micropolar fluid

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