engleski

Effective fluid flow trough corrugated pipe and the Darcy-Weisbach law

We study an incompressible viscous fluid flow through a pipe with rough wall. Start- ing from the Stokes system, prescribing the pressure drop on pipe’s ends and assuming the periodicity of the asperities, we find an effective boundary condition of the Navier type on the rough wall and the corrector for the Darcy-Weisbach friction coefficient. The results are justified by an error estimate. Asymptotic expansions, homogenization and boundary layer techniques are used in the analysis.

pipe flow, rough boundary, Navier law, Darcy-Weisbach law

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