Numerical Analysis for Viscous Shear Flows past a Circular Cylinder at Intermediate Reynolds Numbers

抄録

Numerical solutions of the Navier-Stokes equations for viscous shear flows past a circular cylinder are obtained for a range of Reynolds numbers, Re, 2≤Re≤40 and a shear parameter, ε, 0.01≤ε≤1.0. The outer boundary values and the initial values of numerical calculations are determined by our previous analytical solutions utilizing Oseen's approximation, and numerical calculations are carried out so as to be single-valued throughout the field of flow in the process of repetition. The flow patterns, drag, lift, moment and pressure distributions on a circular cylinder are compared with the results calculated using the same methods under fixed boundary conditions and the results obtained in other papers. From these comparisons, it is seen that the values of some properties are markedly affected by the outer boundary condition, and also that the present boundary values are favorable in comparison with previous ones.