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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
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Publication Information
Authors M.Abdel Wahab, Mostafa Y.El-Bakry
Keywords PHP Code; Finite difference code; eccentric spheres; Bispherical coordinates; surface traction
Journal JOURNAL OF ADVANCES IN PHYSICS
Publisher www.cirjap.com
Volume 11
Issue No.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 sphere susing PHP Code is
investigated. This flow is created by considering the inner sphere to rotate with angular velocity 1  and the outer sphere
rotate 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.