ABSTRACT
The Navier-Stokes equations govern the §ows commonly encountered in both internal and external applications. While computing solutions of these equations has become relatively straightforward, results obtained from a solution of the Euler equations are particularly useful in applications where pressure alone is desired. In problems where heat transfer and skin friction are required, a solution of the boundary-layer equations usually provides an adequate approximation. However, the outeredge conditions, including the pressure, must be speciƒed from the inviscid solution as the ƒrst step in such an analysis. The Euler equations are also of interest because many of the major elements of §uid dynamics are incorporated in them. For example, §uid §ows frequently have internal discontinuities such as shock waves or contact surfaces. Solutions relating the end states across a shock are given by the Rankine-Hugoniot relations; these relations are contained in solutions of the Euler equations.
