Analysis of localized damping effects in channel flows with a periodic rough boundary

Jaewook Ahn, Jung Il Choi, Kyungkeun Kang, Jihye Lim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this study, we justify a modified stationary Navier–Stokes system involving the damping effect for a channel flow with periodic roughness. We solve the modified Navier–Stokes system in a smooth extended channel after reducing the rough boundary to a parameter in a linear damping term. We find that the proposed damping term is valid when the size and amplitude of the imperfection tend to zero. Furthermore, the term yields an O(ε3/2) quadratic approximation of real flow, i.e. O(ε3/2) approximation in the L2-norm, for a small pressure difference. An effective mass flow is also determined up to an order of O(ε3/2).

Original languageEnglish
Pages (from-to)902-918
Number of pages17
JournalApplicable Analysis
Volume97
Issue number6
DOIs
Publication statusPublished - 2018 Apr 26

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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