Abstract: In this paper the time-dependent method has been applied to the compu-tation of simplified Navier-Stokes equations for hypersonic three-dimensional viscous flowswith chemical nonequilibrium. The overall problem is decoupled into(a)a fluid mechanicproblem and(b)a chemistry problem. The coupling between the fluid mechanics and thechemistry is treated in an iterative manner. For very high Mach number the air in the shocklayer that envelops the body is at high temperature. The air may become appreciably dis- s...