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Weakly Nonlinear Hydrodynamic Stability of the Thin Newtonian Fluid Flowing on a Rotating Circular Disk
Joint Authors
Lin, Ming-Che
Chen, Cha'o-Kuang
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-05-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The main object of this paper is to study the weakly nonlinear hydrodynamic stability of the thin Newtonian fluid flowing on a rotating circular disk.
A long-wave perturbation method is used to derive the nonlinear evolution equation for the film flow.
The linear behaviors of the spreading wave are investigated by normal mode approach, and its weakly nonlinear behaviors are explored by the method of multiple scales.
The Ginzburg-Landau equation is determined to discuss the necessary condition for the existence of such flow pattern.
The results indicate that the superctitical instability region increases, and the subcritical stability region decreases with the increase of the rotation number or the radius of circular disk.
It is found that the rotation number and the radius of circular disk not only play the significant roles in destabilizing the flow in the linear stability analysis but also shrink the area of supercritical stability region at high Reynolds number in the weakly nonlinear stability analysis.
American Psychological Association (APA)
Chen, Cha'o-Kuang& Lin, Ming-Che. 2009. Weakly Nonlinear Hydrodynamic Stability of the Thin Newtonian Fluid Flowing on a Rotating Circular Disk. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-510597
Modern Language Association (MLA)
Chen, Cha'o-Kuang& Lin, Ming-Che. Weakly Nonlinear Hydrodynamic Stability of the Thin Newtonian Fluid Flowing on a Rotating Circular Disk. Mathematical Problems in Engineering No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-510597
American Medical Association (AMA)
Chen, Cha'o-Kuang& Lin, Ming-Che. Weakly Nonlinear Hydrodynamic Stability of the Thin Newtonian Fluid Flowing on a Rotating Circular Disk. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-510597
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510597