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Asymptotic methods for micropolar fluids in a tube structure. (English) Zbl 1076.76004

Summary: The steady motion of a micropolar fluid through a wavy tube with the dimensions depending on a small parameter is studied. An asymptotic expansion is proposed, and error estimates are proved by using a boundary layer method. We apply the method of partial asymptotic decomposition of domain, and we prove that the solution of the partially decomposed problem represents a good approximation for the solution of the considered problem.

MSC:

76A05 Non-Newtonian fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
76M50 Homogenization applied to problems in fluid mechanics
35Q35 PDEs in connection with fluid mechanics
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
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