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Finite difference code for velocity and surface traction of a Fluid between Two Eccentric Spheres
Journal of Advances in Physics • 2015
Publication Information
Authors
Mostafa y Elbakry, M.Abdel Wahab
Keywords
PHP Code; Finite difference code; eccentric spheres; Bispherical coordinates; surface traction
Journal
Journal of Advances in Physics
Publisher
Council for Innovative Research
Volume
Vol 11
Issue
1
Pages
2960-2971
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
The Numerical study of the flow of a fluid in the annular region between two eccentric spheresusing PHP Code is
investigated. This flow iscreated by considering the inner sphere to rotate with angular velocity
1
and the outer
sphererotate with angular velocity
2
about the axis passing through their centers, the z-axis, using the three dimensional
Bispherical coordinates
(,,)
.The velocity field of fluid is determined by solving equation of motion using PHP Code
at different cases of angular velocities of inner and outer sphere.Also Finite difference code is used to calculate surface
tractions at outer sphere.
investigated. This flow iscreated by considering the inner sphere to rotate with angular velocity
1
and the outer
sphererotate with angular velocity
2
about the axis passing through their centers, the z-axis, using the three dimensional
Bispherical coordinates
(,,)
.The velocity field of fluid is determined by solving equation of motion using PHP Code
at different cases of angular velocities of inner and outer sphere.Also Finite difference code is used to calculate surface
tractions at outer sphere.