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 language | English |
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Title of host publication | ASME 2001 International Mechanical Engineering Congress and Exposition |
Subtitle of host publication | November 11–16, 2001, New York, New York, USA |
Publisher | ASME Digital Collection |
Pages | 3-8 |
Number of pages | 6 |
ISBN (Electronic) | 978-0-7918-1941-8 (CD) |
ISBN (Print) | 978-0-7918-3572-2 |
DOIs | |
Publication status | Published - 11 Nov 2001 |
Event | ASME International Mechanical Engineering Congress & Exposition, IMECE 2001 - New York, New York , New York, United States Duration: 11 Nov 2001 → 16 Nov 2001 |
Conference
Conference | ASME International Mechanical Engineering Congress & Exposition, IMECE 2001 |
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Abbreviated title | IMECE |
Country/Territory | United States |
City | New York |
Period | 11/11/01 → 16/11/01 |
Other | November 11-16, 2001 |