The Numerical study of the flow of a fluid in the annular region between two eccentric sphere susing PHP Code isinvestigated. This flow is created by considering the inner sphere to rotate with angular velocity 1 ï— and the outer sphererotate with angular velocity 2 ï— about the axis passing through their centers, the z-axis, using the three dimensionalBispherical coordinates (ï¡,ï¢ ,ïª) .The velocity field of fluid is determined by solving equation of motion using PHP Codeat different cases of angular velocities of inner and outer sphere. Also Finite difference code is used to calculate surfacetractions at outer sphere.
Zero modes of velocity field and topological invariant in quantum torus
