A Numerical Simulation of Newtonian and Visco-Elastic Flow Past Stationary and Rotating Cylinders

摘要

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 omega. Omega is chosen to be in the range (0 - 5W/a) where a is the radius of the cylinder and W is the mainstream velocity at infinity. To incorporate visco-elastic properties into the flow, and 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 to the influence of cylinder rotation and of visco-elasticity on the drag and lift experienced by the cylinder and on the streamline patterns and vorticity distribution. (Author)