Low Reynolds number flow in a channel with oscillating wavy-walls: An analytical study

Aaron M. Thomas, Gatwech K. Thich, R. Narayanan

Research output: Contribution to journalArticlepeer-review

Abstract

An analytical study using perturbation methods has been investigated on the flow profiles and power requirements in an oscillating flow field with a wavy-walled boundary. The velocity field is found for a fluid in between two wavy-walled plates that oscillate in phase. The wavy-walled boundary causes the flow to produce regions of recirculations within the recesses of the boundary. Once the velocity profiles are identified, the power required to drive the oscillatory fluid motion is then calculated and compared to a flat plate geometry without recesses. As expected, the analytical results show that more power is needed to drive a wavy-walled system than a flat plate configuration.

Original languageEnglish
Pages (from-to)6047-6056
Number of pages10
JournalChemical Engineering Science
Volume61
Issue number18
DOIs
StatePublished - Sep 2006

Keywords

  • Fluid mechanics
  • Laminar flow
  • Mathematical modeling
  • Momentum transfer
  • Oscillating flow
  • Perturbation methods

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