Abstract
The steady viscous shear flows past a circular cylinder are studied to Oseen's approximations and by numerical analysis to the Navier-Stokes equations, and those results for some properties are compared for the range of Reynolds numbers, Re, Re≤1 and a shear parameter, ε, ε≤1.0.
The expansion formulae for the stream function Ψ and the vorticity ζ are obtained up to the terms of orders O (Re4), and ones for the drag and the moment are obtained up to the terms of order O (Re3) and one for the lift is obtained up to the term of order O (1).
Numerical calculations are performed by using the initial values of the flow fields and the outer boundary ones at infinity obtained with the our previous analytical solutions, and pressure distributions are devised to be single-valued throughout the field of flow.
The flow patterns, the moment and the pressure distributions on a circular cylinder as predicted by analytical solutions coincide almost with those as predicted by numerical solutions in the range of Re< 0.3 and ε < 0.5, but the expressions of lift from both solutions are different.
Especially, it is noted that the direction of the lift is in contrary ones.
