Symplectic Exact Solution for Stokes Flow in the Thin Film Coating Applications
Joint Authors
Deng, Zi-Chen
Hu, Wei-Peng
Wang, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The symplectic analytical method is introduced to solve the problem of the stokes flow in the thin film coating applications.
Based on the variational principle, the Lagrangian function of the stokes flow is established.
By using the Legendre transformation, the dual variables of velocities and the Hamiltonian function are derived.
Considering velocities and stresses as the basic variables, the equations of stokes flow problems are transformed into Hamiltonian system.
The method of separation of variables and expansion of eigenfunctions are developed to solve the governing equations in Hamiltonian system, and the analytical solutions of the stokes flow are obtained.
Several numerical simulations are carried out to verify the analytical solutions in the present study and discuss the effects of the driven lids of the square cavity on the dynamic behavior of the flow structure.
American Psychological Association (APA)
Wang, Yan& Deng, Zi-Chen& Hu, Wei-Peng. 2014. Symplectic Exact Solution for Stokes Flow in the Thin Film Coating Applications. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-449883
Modern Language Association (MLA)
Wang, Yan…[et al.]. Symplectic Exact Solution for Stokes Flow in the Thin Film Coating Applications. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-449883
American Medical Association (AMA)
Wang, Yan& Deng, Zi-Chen& Hu, Wei-Peng. Symplectic Exact Solution for Stokes Flow in the Thin Film Coating Applications. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-449883
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449883