Linear stability theory of oscillatory Stokes layers

Christian Von Kerczek, Stephen H. Davis

Research output: Contribution to journalArticlepeer-review

150 Scopus citations

Abstract

The stability of the oscillatory Stokes layers is examined using two quasi-static linear theories and an integration of the full time-dependent linearized disturbance equations. The full theory predicts absolute stability within the investigated range and perhaps for all the Reynolds numbers. A given wavenumber disturbance of a Stokes layer is found to be more stable than that of the motionless state (zero Reynolds number). The quasi-static theories predict strong inflexional instabilities. The failure of the quasi-static theories is discussed.

Original languageEnglish (US)
Pages (from-to)753-773
Number of pages21
JournalJournal of fluid Mechanics
Volume62
Issue number4
DOIs
StatePublished - Jan 1 1974

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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