Numerical Simulation of Two-Dimensional Giesekus Flow Past a Rotating Cylinder

The two-dimensional viscoelastic Giesekus flow past a circular cylinder is investigated by the openfoam platform based on the finite volume method. The physical parameters, including Weissenberg number (0.1 <= Wi <= 10), dimensionless rotation rate (0 <= Ro <= 2), and mobility factor (0 <=alpha <= 0.5), are investigated when Reynolds number is defined as 100. Two cases, i.e., beta=0.1 and beta=0.9, are considered. The combination effects are discussed using lift coefficients, instantaneous vorticity, time-averaged streamlines, and pressure distribution along the cylinder wall. The results are compared with other numerical computations. Dimensionless rotation rate destroys the symmetry of vertex shedding and suppresses the instability of the viscoelastic fluids. Elastic property facilitates the formation of the closed streamlins around the cylinder surface. These effects are amplified by the introduction of dimensionless rotation rate. However, shear-shinning property has opposite effects on this region. The distribution of polymer stress tau xxp and tau yyp are given to analyze the effects of viscoelasticity. As the fluids flow presents the shear-shinning property, the values of polymer stresses have an obvious decrease.