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The Flow of a Variable Viscosity Fluid down an Inclined Plane with a Free Surface
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The effect of a temperature dependent variable viscosity fluid flow down an inclined plane with a free surface is investigated.
The fluid film is thin, so that lubrication approximation may be applied.
Convective heating effects are included, and the fluid viscosity decreases exponentially with temperature.
In general, the flow equations resulting from the variable viscosity model must be solved numerically.
However, when the viscosity variation is small, then an asymptotic approximation is possible.
The full solutions for the temperature and velocity profiles are derived using the Runge-Kutta numerical method.
The flow controlling parameters such as the nondimensional viscosity variation parameter, the Biot and the Brinkman numbers, are found to have a profound effect on the resulting flow profiles.
American Psychological Association (APA)
Tshehla, M. S.. 2013. The Flow of a Variable Viscosity Fluid down an Inclined Plane with a Free Surface. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010636
Modern Language Association (MLA)
Tshehla, M. S.. The Flow of a Variable Viscosity Fluid down an Inclined Plane with a Free Surface. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1010636
American Medical Association (AMA)
Tshehla, M. S.. The Flow of a Variable Viscosity Fluid down an Inclined Plane with a Free Surface. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010636
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010636