Full simulation of natural waves in falling films

Edwin de Korte, Jim B.W. Kok, Theo H. van der Meer

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

The two dimensional Navier Stokes equations have been solved for a falling film flow, i.e. a laminar flow running down a vertical wall driven by gravity. The aim of this research is to describe the onset of natural waves by using full simulation of the Navier-Stokes equations. In order to find the natural wave the flow velocity at the the inlet boundary (top horizontal plane) is perturbed. With the boundary condition described above the fastest growing wave is triggered for a range of Reynolds numbers in the laminar wavy range. The wave numbers and velocities agree with results based on Orr-Sommerfeld theory reported by Pierson & Whitaker [7] for Re = 5.90 and Re = 11.8. For Re = 23.5 a different wavelength triggered than the one predicted by linear stability analysis. However the wavespeeds are in reasonable agreement with each other. A complete understanding for this phenomenon is not found yet. There is shown that the behavior of the waves is strongly non-linear and transient. In this work is to illustrate that the wave profiles can be calculated by simply solving the Navier-Stokes equations without any prior assumptions.

Original languageEnglish
Title of host publicationASME 2001 International Mechanical Engineering Congress and Exposition
Subtitle of host publicationNovember 11–16, 2001, New York, New York, USA
PublisherASME Digital Collection
Pages3-8
Number of pages6
ISBN (Electronic)978-0-7918-1941-8 (CD)
ISBN (Print)978-0-7918-3572-2
DOIs
Publication statusPublished - 11 Nov 2001
EventASME International Mechanical Engineering Congress & Exposition, IMECE 2001 - New York, New York , New York, United States
Duration: 11 Nov 200116 Nov 2001

Conference

ConferenceASME International Mechanical Engineering Congress & Exposition, IMECE 2001
Abbreviated titleIMECE
Country/TerritoryUnited States
CityNew York
Period11/11/0116/11/01
OtherNovember 11-16, 2001

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