Solutions of Navier-Stokes Equation with Coriolis Force
Joint Authors
Lee, Sunggeun
Ryi, Shin-Kun
Lim, Hankwon
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We investigate the Navier-Stokes equation in the presence of Coriolis force in this article.
First, the vortex equation with the Coriolis effect is discussed.
It turns out that the vorticity can be generated due to a rotation coming from the Coriolis effect, Ω.
In both steady state and two-dimensional flow, the vorticity vector ω gets shifted by the amount of -2Ω.
Second, we consider the specific expression of the velocity vector of the Navier-Stokes equation in two dimensions.
For the two-dimensional potential flow v→=∇→ϕ, the equation satisfied by ϕ is independent of Ω.
The remaining Navier-Stokes equation reduces to the nonlinear partial differential equations with respect to the velocity and the corresponding exact solution is obtained.
Finally, the steady convective diffusion equation is considered for the concentration c and can be solved with the help of Navier-Stokes equation for two-dimensional potential flow.
The convective diffusion equation can be solved in three dimensions with a simple choice of c.
American Psychological Association (APA)
Lee, Sunggeun& Ryi, Shin-Kun& Lim, Hankwon. 2017. Solutions of Navier-Stokes Equation with Coriolis Force. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123277
Modern Language Association (MLA)
Lee, Sunggeun…[et al.]. Solutions of Navier-Stokes Equation with Coriolis Force. Advances in Mathematical Physics No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1123277
American Medical Association (AMA)
Lee, Sunggeun& Ryi, Shin-Kun& Lim, Hankwon. Solutions of Navier-Stokes Equation with Coriolis Force. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123277