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Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver
We present a straightforward method to solve gas damping problems for perforated structures in two dimensions (2D) utilising a Perforation Profile Reynolds (PPR) solver. The PPR equation is an extended Reynolds equation that includes additional terms modelling the leakage flow through the perforatio...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Molecular Diversity Preservation International (MDPI)
2007
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3801128/ |
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author | Veijola, Timo Råback, Peter |
author_facet | Veijola, Timo Råback, Peter |
author_sort | Veijola, Timo |
collection | PubMed |
description | We present a straightforward method to solve gas damping problems for perforated structures in two dimensions (2D) utilising a Perforation Profile Reynolds (PPR) solver. The PPR equation is an extended Reynolds equation that includes additional terms modelling the leakage flow through the perforations, and variable diffusivity and compressibility profiles. The solution method consists of two phases: 1) determination of the specific admittance profile and relative diffusivity (and relative compressibility) profiles due to the perforation, and 2) solution of the PPR equation with a FEM solver in 2D. Rarefied gas corrections in the slip-flow region are also included. Analytic profiles for circular and square holes with slip conditions are presented in the paper. To verify the method, square perforated dampers with 16–64 holes were simulated with a three-dimensional (3D) Navier-Stokes solver, a homogenised extended Reynolds solver, and a 2D PPR solver. Cases for both translational (in normal to the surfaces) and torsional motion were simulated. The presented method extends the region of accurate simulation of perforated structures to cases where the homogenisation method is inaccurate and the full 3D Navier-Stokes simulation is too time-consuming. |
format | Online Article Text |
id | pubmed-3801128 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2007 |
publisher | Molecular Diversity Preservation International (MDPI) |
record_format | MEDLINE/PubMed |
spelling | pubmed-38011282013-10-22 Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver Veijola, Timo Råback, Peter Sensors (Basel) Full Paper We present a straightforward method to solve gas damping problems for perforated structures in two dimensions (2D) utilising a Perforation Profile Reynolds (PPR) solver. The PPR equation is an extended Reynolds equation that includes additional terms modelling the leakage flow through the perforations, and variable diffusivity and compressibility profiles. The solution method consists of two phases: 1) determination of the specific admittance profile and relative diffusivity (and relative compressibility) profiles due to the perforation, and 2) solution of the PPR equation with a FEM solver in 2D. Rarefied gas corrections in the slip-flow region are also included. Analytic profiles for circular and square holes with slip conditions are presented in the paper. To verify the method, square perforated dampers with 16–64 holes were simulated with a three-dimensional (3D) Navier-Stokes solver, a homogenised extended Reynolds solver, and a 2D PPR solver. Cases for both translational (in normal to the surfaces) and torsional motion were simulated. The presented method extends the region of accurate simulation of perforated structures to cases where the homogenisation method is inaccurate and the full 3D Navier-Stokes simulation is too time-consuming. Molecular Diversity Preservation International (MDPI) 2007-06-28 /pmc/articles/PMC3801128/ Text en © 2007 by MDPI (http://www.mdpi.org). Reproduction is permitted for noncommercial purposes. |
spellingShingle | Full Paper Veijola, Timo Råback, Peter Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title | Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title_full | Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title_fullStr | Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title_full_unstemmed | Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title_short | Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver |
title_sort | methods for solving gas damping problems in perforated microstructures using a 2d finite-element solver |
topic | Full Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3801128/ |
work_keys_str_mv | AT veijolatimo methodsforsolvinggasdampingproblemsinperforatedmicrostructuresusinga2dfiniteelementsolver AT rabackpeter methodsforsolvinggasdampingproblemsinperforatedmicrostructuresusinga2dfiniteelementsolver |