On boundary-layer flows induced by the motion of stretching surfaces

Talal T. Al-Housseiny, Howard A. Stone

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

We investigate laminar boundary-layer flows due to translating, stretching, incompressible sheets. Unlike the classical problem in the literature where the mechanics of the sheet are neglected, and kinematics are prescribed, the dynamics of both the fluid and the sheet are herein coupled. Two types of stretching sheets are considered: an elastic sheet that obeys linear elasticity and a sheet that deforms as a viscous Newtonian fluid. In both cases, we find self-similar solutions to the coupled fluid/sheet system. These self-similar solutions are only valid under limiting conditions.

Original languageEnglish (US)
Pages (from-to)597-606
Number of pages10
JournalJournal of Fluid Mechanics
Volume706
DOIs
StatePublished - Sep 10 2012

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • boundary layers
  • flow-structure interactions

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