Numerical analysis of the effect of attack angle on the boundary layer flow along an archery bare shaft arrow

Abstract

The velocity boundary layer, formed on an archery bare-shaft arrow, is computed by using two kinds of finite difference codes; an axisymmetric code and a three-dimensional code. Two types of arrow point, i.e., bullet point and streamlined point, are attached to a cylindrical arrow shaft. The Reynolds number, based on the shaft diameter, is varied in a range 10, 000 ≤ Re ≤ 20, 000, and the attack angle, α, is fixed at α = 0.0°. Critical assessment is performed on the grid dependency of velocity profiles, the difference in velocity profiles between axisymmetric and 3D computations, the effect of interpolation method on the interpolants by comparing the spline and the tri(bi)-cubic interpolations. The results of assessment indicates that the effect of varying the number of grid points, simulation codes and the interpolation method, considered in the present study, is reasonably small for the steady state boundary layers.