Curtain Coating Flow of an Inclined Thin Liquid Films
The mechanism of thin liquid films on solid surfaces is fundamental to a wide variety of phenomena such as surface coatings in paint. A mathematical model is constructed to describe the two dimensions of steady thin liquid films flow on an inclined plane with the use of lubrication approximation, w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2007-12-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164019_9d2a432f44506b09daac712a8c199ee3.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850195928251629568 |
|---|---|
| author | Faraidun Hama Salh |
| author_facet | Faraidun Hama Salh |
| author_sort | Faraidun Hama Salh |
| collection | DOAJ |
| description | The mechanism of thin liquid films on solid surfaces is fundamental to a wide variety of phenomena such as surface coatings in paint. A mathematical model is constructed to describe the two dimensions of steady thin liquid films flow on an inclined plane with the use of lubrication approximation, we have applied Navier-Stokes equations in two dimensional coordinates for flow of incompressible fluid with the specified boundary conditions, and the solution of the film thickness equation has been drawn for flow for several inclination angles which modify the shape of the emerging patterns and also we derived the third order differential equations that govern such flow. Finally the equations have been solved analytically. |
| format | Article |
| id | doaj-art-cb226b6fa2a746e3a31aad405d82b0fb |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-cb226b6fa2a746e3a31aad405d82b0fb2025-08-20T02:13:36ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902007-12-01429911110.33899/csmj.2007.164019164019Curtain Coating Flow of an Inclined Thin Liquid FilmsFaraidun Hama Salh0College of Sciences University of Sulaymani.The mechanism of thin liquid films on solid surfaces is fundamental to a wide variety of phenomena such as surface coatings in paint. A mathematical model is constructed to describe the two dimensions of steady thin liquid films flow on an inclined plane with the use of lubrication approximation, we have applied Navier-Stokes equations in two dimensional coordinates for flow of incompressible fluid with the specified boundary conditions, and the solution of the film thickness equation has been drawn for flow for several inclination angles which modify the shape of the emerging patterns and also we derived the third order differential equations that govern such flow. Finally the equations have been solved analytically.https://csmj.mosuljournals.com/article_164019_9d2a432f44506b09daac712a8c199ee3.pdfnavier-stokes equationscontinuity equationlubrication approximationintegral momentum balancedifferential equations |
| spellingShingle | Faraidun Hama Salh Curtain Coating Flow of an Inclined Thin Liquid Films Al-Rafidain Journal of Computer Sciences and Mathematics navier-stokes equations continuity equation lubrication approximation integral momentum balance differential equations |
| title | Curtain Coating Flow of an Inclined Thin Liquid Films |
| title_full | Curtain Coating Flow of an Inclined Thin Liquid Films |
| title_fullStr | Curtain Coating Flow of an Inclined Thin Liquid Films |
| title_full_unstemmed | Curtain Coating Flow of an Inclined Thin Liquid Films |
| title_short | Curtain Coating Flow of an Inclined Thin Liquid Films |
| title_sort | curtain coating flow of an inclined thin liquid films |
| topic | navier-stokes equations continuity equation lubrication approximation integral momentum balance differential equations |
| url | https://csmj.mosuljournals.com/article_164019_9d2a432f44506b09daac712a8c199ee3.pdf |
| work_keys_str_mv | AT faraidunhamasalh curtaincoatingflowofaninclinedthinliquidfilms |