Stability Analysis in Thin Liquid Film (Immobile Soap Film)
This research is dedicated for analyzing the stability of a system of flow equations for soap film that has opposed for disturbance, and this analysis was done by using Galerkin method which enable to find disturbance growth from its nonexistence after making the system linearization. It was shown t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2011-12-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163648_04866172633c4a9f02d30145a77449db.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850227034572193792 |
|---|---|
| author | Rotina Al-Etewi Zena Al-Nuamy |
| author_facet | Rotina Al-Etewi Zena Al-Nuamy |
| author_sort | Rotina Al-Etewi |
| collection | DOAJ |
| description | This research is dedicated for analyzing the stability of a system of flow equations for soap film that has opposed for disturbance, and this analysis was done by using Galerkin method which enable to find disturbance growth from its nonexistence after making the system linearization. It was shown through the results of analysis that these equations were in stable state when the real part of wave velocity (<em>a</em>) is a negative quantity, and it is unstable state when the real part of this velocity is a positive quantity, i.e. <em>a</em> < 0 we get stability and this happens when the distance (<em>d</em><sub>o</sub>) and the source (<em>u</em><sub>o</sub>) in two similar signs and when <em>a</em> > 0 we get unstable state and this happens when <em>d</em><sub>o</sub> , <em>u</em><sub>o </sub> have two different signs. |
| format | Article |
| id | doaj-art-55d4a68715bd4b5e96b9abcda4db30e9 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2011-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-55d4a68715bd4b5e96b9abcda4db30e92025-08-20T02:04:55ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902011-12-0182132110.33899/csmj.2011.163648163648Stability Analysis in Thin Liquid Film (Immobile Soap Film)Rotina Al-Etewi0Zena Al-Nuamy1College of computer sciences and Mathematics University of Mosul, Mosul, IraqCollege of computer sciences and Mathematics University of Mosul, Mosul, IraqThis research is dedicated for analyzing the stability of a system of flow equations for soap film that has opposed for disturbance, and this analysis was done by using Galerkin method which enable to find disturbance growth from its nonexistence after making the system linearization. It was shown through the results of analysis that these equations were in stable state when the real part of wave velocity (<em>a</em>) is a negative quantity, and it is unstable state when the real part of this velocity is a positive quantity, i.e. <em>a</em> < 0 we get stability and this happens when the distance (<em>d</em><sub>o</sub>) and the source (<em>u</em><sub>o</sub>) in two similar signs and when <em>a</em> > 0 we get unstable state and this happens when <em>d</em><sub>o</sub> , <em>u</em><sub>o </sub> have two different signs.https://csmj.mosuljournals.com/article_163648_04866172633c4a9f02d30145a77449db.pdfstability analysisnone dimensional formdisturbancegalerkin methodwave velocity |
| spellingShingle | Rotina Al-Etewi Zena Al-Nuamy Stability Analysis in Thin Liquid Film (Immobile Soap Film) Al-Rafidain Journal of Computer Sciences and Mathematics stability analysis none dimensional form disturbance galerkin method wave velocity |
| title | Stability Analysis in Thin Liquid Film (Immobile Soap Film) |
| title_full | Stability Analysis in Thin Liquid Film (Immobile Soap Film) |
| title_fullStr | Stability Analysis in Thin Liquid Film (Immobile Soap Film) |
| title_full_unstemmed | Stability Analysis in Thin Liquid Film (Immobile Soap Film) |
| title_short | Stability Analysis in Thin Liquid Film (Immobile Soap Film) |
| title_sort | stability analysis in thin liquid film immobile soap film |
| topic | stability analysis none dimensional form disturbance galerkin method wave velocity |
| url | https://csmj.mosuljournals.com/article_163648_04866172633c4a9f02d30145a77449db.pdf |
| work_keys_str_mv | AT rotinaaletewi stabilityanalysisinthinliquidfilmimmobilesoapfilm AT zenaalnuamy stabilityanalysisinthinliquidfilmimmobilesoapfilm |