Analytical study of blockage- and lift-interference corrections for slotted tunnels obtained by the substitution of an equivalent homogeneous boundary for the discrete slots

The solid-blockage interference for a doublet on the tunnel axis and the boundary interference for lifting wings in circular, rectangular, and two-dimensional slotted tunnels have been calculated by substituting an equivalent homogeneous boundary for the physical boundary of discrete slots. In the case of small wings, the interference calculated with the assumption of homogeneity has been found to be consistent with that calculated for the discrete slots for as few as four slots in a circular tunnel. Furthermore, available experimental results for blockage interference are consistent with the results of the present analysis. As a consequence of the assumption of homogeneity it is possible to express the interference of multislotted tunnels as a function of a single parameter which combines the effects of two physical variables: the ratio of open to total slotted wall perimeter and the number of slots. A curve is presented which permits the rapid evaluation of this parameter and numerical results for lift and blockage interference are plotted against the parameter.