Host: The Japan Society of Mechanical Engineers
Name : [in Japanese]
Date : September 13, 2020 - September 16, 2020
The flow of a UCM (upper convected Maxwell) fluid past circular cylinders in a side-by-side arrangement is numerically simulated using a finite-difference method, with a Cartesian mesh and the staggered variable arrangement. The cylinders are taken into account by the volume penalization method. The governing equations are the stream function-vorticity formulation of the momentum equation and the constitutive relations for the UCM fluid. The viscoelastic Mach number is defined as the ratio of the uniform flow speed to the speed of shear waves in the fluid. The flow exhibits a shear-wave Mach cone forming around each cylinder at a viscoelastic Mach number of 3.0. The two adjacent shear layers corresponding to the envelopes of the Mach cones are overwrapped in the downstream of the cylinders, at which the shear layers having opposite sign of vorticity vanishes promptly accompanied by the negative values of the first normal stress differences, and on approach to which the streamlines between the cylinders diverge.
