The test sections of supersonic tunnels display a mirrorlike surface for a very good reason-the least scratch or imperfection will disturb the airflow and the accuracy of the tests. The presence of unwanted flow disturbances show up emphatically on schlieren photos of the empty tunnel. Just a few cracks or scratches will generate a cries-cross, Scotch-plaid pattern of diagonal Mach lines. Each Mach line is a small shock wave that commences at the site of the imperfection and projects at an angle dependent on the speed of the air in the tunnel. At Mach 1, the Mach lines are perpendicular to the flow; at Mach 2, the angle is 30 degrees (the angle whose sine is 1/2); and in general, at Mach M, the angle is arcsine 1/ M.
To illustrate how these curious Mach lines are produced by tiny irregularities in the tunnel walls, small pieces of Scotch tape just 0.003-inch thick placed on the tunnel wall give rise to strong artificial Mach lines on schlieren photos. The pieces of tape, however, are well within the subsonic boundary layer which extends to 0.3 inch-100 times the thickness of the tape. Yet the influence of the bits of tape is felt across the boundary layer. Disturbances like the Mach lines are undesirable in wind tunnel tests. The test section of each supersonic tunnel must be finished to a level....
...of accuracy and smoothness much finer than that represented by the Scotch tape. Schlieren photos of the empty tunnel quickly reveal where reworking of the nozzle surface is required.