Some Nonlinear Effect in Compressible Flow

The two-dimensional potential flow of a compressible fluid past a family of cylindrical obstacles with two parameters which includes elliptic cylinder and Kaplan bump is investigated by use of Imai's method. An very interesting example has been found such that the surface velocity distribution changes its character with increasing Mach number, namely, it has two maxima for M =0, which tend to coalesce into one as the Mach number increases. Such an effect, however, is very small within the approximation used.