Abstract
Numerical solutions are presented for the two-dimensional flow past a circular cylinder in an infinite domain. The flow is assumed to be uniform at infinity and the cylinder is allowed to rotate with a constant angular velocity Ω. Ω is chosen to be in the range (0 to 5 W/ a) where a is the radius of the cylinder and W is the mainstream velocity at infinity. To incorporate viscoelastic properties into the flow, an implicit four-constant Oldroyd model is used, and the resulting nonlinear constitutive equations are solved in parallel with the equations of motion as a coupled set of partial differential equations. The method of solution used is a finite difference technique with block over-relaxation. The results are compared with those of other numerical computations as well as with available experimental data. In particular, consideration is given lift experienced by the cylinder and on the streamline patterns and vorticity distribution.
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