Flow of soap films on inclined plane
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 7, Issue 2 (31 Oct. 2010), pp.67-78, 12 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2010-10-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Information Technology and Computer Science
Topics
Abstract AR
في هذا البحث تم وضع نموذج لدراسة الأغشية المائلة في النظام الثنائي تابعد إذ ينأهر الجريان بفوة الجاذبية.
استخدم التحليل المحاذي و عملية التزييت في دراسة هذا النموذج حيث افترضنا أن الغشاء مثبت عند نهايته و قد تم تطبيق معادلات نافير-ستوكس للمائع الغير قابل للإنضغاط مع شروط حدودية معينة و تم الحصول على معادلات تمثل سمك الغشاء و التركيز و أيضا سرعة سطح الغشاء.
حصلنا على الحلول لهذا الجريان و تم تقريب هذه المعادلات باستخدام احداثيات لاكرانج و متسلسلة تايلر للحصول على معادلات يمكن استخدامها لقيم مختلفة للزمن.
Abstract EN
In this paper a mathematical model is constructed to describe a two dimensional flow for an inclined films with an inclination angle a to the horizontal that is drainage under the action of gravity.
An asymptotic analysis is employed with the use of lubrication approximation.
The film is assumed to be supported by wire frame elements at the ends.
We apply the Navier-Stokes equations for flow of an incompressible fluid in two dimensions with specified boundary conditions.
We obtain the equations representing the film thickness, the surface concentration, and the surface velocity.
We obtain the similarity solutions for extensional flow of the simplified forms of these equations by using Lagrangian coordinate and then we approximate this equation by using Taylor series to obtain another similarity equation that can be used for different values of time.
American Psychological Association (APA)
Abd al-Ahad, Juzif Ghanim. 2010. Flow of soap films on inclined plane. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 7, no. 2, pp.67-78.
https://search.emarefa.net/detail/BIM-253515
Modern Language Association (MLA)
Abd al-Ahad, Juzif Ghanim. Flow of soap films on inclined plane. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 7, no. 2 (2010), pp.67-78.
https://search.emarefa.net/detail/BIM-253515
American Medical Association (AMA)
Abd al-Ahad, Juzif Ghanim. Flow of soap films on inclined plane. al- Rafidain Journal of Computer Sciences and Mathematics. 2010. Vol. 7, no. 2, pp.67-78.
https://search.emarefa.net/detail/BIM-253515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 78
Record ID
BIM-253515