engleski

Asymptotic analysis of the nonsteady micropolar fluid flow in a curved pipe

In this talk, we present an asymptotic model for the nonsteady flow of a micropolar fluid in a thin (or long) curved pipe [1]. Using Germano’s reference system to describe the pipe’s geometry, we write the micropolar fluid equations in curvilinear coordinates, construct a second order asymptotic expansion, study the boundary layers in space and provide the rigorous justification of the model via error estimate. This work is an extension of the model derived for the nonsteady flow of a micropolar fluid in a thin undeformed pipe [2]. Due to the practical importance of the micropolar fluid model in biomedicine and blood flow modeling, the talk will be focused on the mathematical as well as engineering aspects of the model. [1] I. Pažanin, M. Radulović, Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe, Applicable Analysis (2018), doi:10.1080/00036811.2018.1553036, pp. 1-48. [2] M. Beneš, I. Pažanin, M. Radulović, Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe, Computers and Mathematics with Applications 76 (9) (2018), doi:10.1016/j.camwa.2018.07.047, pp. 2035-2060

asymptotic analysis ; curved thin pipe ; micropolar fluid

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