Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The problem of concentric pervious spheres carrying a fluid source at their centre and rotating slowly with different uniform angular velocities Ω1, Ω2 about a diameter has been studied.
The analysis reveals that only azimuthal component of velocity exists, and the couple, rate of dissipated energy is found analytically in the present situation.
The expression of couple on inner sphere rotating slowly with uniform angular velocity Ω1, while outer sphere also rotates slowly with uniform angular velocity Ω2, is evaluated.
The special cases, like (i) inner sphere is fixed (i.e., Ω1=0), while outer sphere rotates with uniform angular velocity Ω2, (ii) outer sphere is fixed (i.e., Ω2=0), while inner sphere rotates with uniform angular velocity Ω1, and (iii) inner sphere rotates with uniform angular velocity Ω1, while outer sphere rotates at infinity with angular velocity Ω2, have been deduced.
American Psychological Association (APA)
Srivastava, Deepak Kumar. 2009. Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid. Journal of Applied Mathematics،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-494902
Modern Language Association (MLA)
Srivastava, Deepak Kumar. Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid. Journal of Applied Mathematics No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-494902
American Medical Association (AMA)
Srivastava, Deepak Kumar. Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid. Journal of Applied Mathematics. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-494902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494902