Numerical Analysis for Viscous Shear Flows Past a Circular Cylinder at the Intermediate Reynolds Numbers.

Abstract

Numerical solutions of the Navier-Stokes equations for viscous shear flows past a circular cylinder are obtained for the 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 ones of numerical calculations are determined by our previous analytical solutions(1) utilizing Oseen's approximation, and numerical calculations are carried 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 in the same methods under the fixed boundary conditions and ones of other papers. From these comparisons, it is seen that the values of some properties are fairly affected by the outer boundary conditions, and also the present boundary values are favorable in comparison with the previous ones.