A variational problem of one-dimensional nonequilibrium gasdynamics

In [1] the problem of optimal profiling of the supersonic portion of a plane or axisymmetric nozzle for nonequilibrium flow is reduced to a boundary-value problem for a hyperbolic system of equations which includes the flow equations and the equations for the Lagrange multipliers. In view of the complexity of the solution of that system, the present paper presents an analogous study based on the one-dimensional formulation. The solution is illustrated by examples. It is noted that a similar solution undertaken in [2] is in error.