numerical investigation of transient laminar flow of a giesekus viscoelastic fluid around a circular cylinder

in this paper, the transient inertial viscoelastic flow around a circular cylinder is investigated numerically. a second order finite-volume method is used to increase the numerical accuracy. here, the giesekus model is used as the constitutive equation. this nonlinear model has prominent ability in describing normal stress differences and viscosity in power-law regions. the impacts of the elasticity and reynolds number on the shedding frequency are discussed. also, drag reduction phenomenon in the viscoelastic flow is studied by extracting pressure distribution on the cylinder surface. the obtained results are in good agreement with recent experimental and numerical investigations reported in the literature for newtonian fluids.