Meaning
Gas dynamics define a convergent divergent nozzle as a tube shaped with a narrowing section followed by an expanding section to accelerate fluids to supersonic speeds. This hardware forces a transition from subsonic to supersonic velocity by utilizing the geometry of the flow path. The internal profile constricts to a throat area where the flow reaches sonic speed before expanding into the diverging section to complete the acceleration.
Pressure energy converts into kinetic energy as the medium traverses this specific geometry.
Flow Transition
Fluid speed depends upon the ratio between the throat area and the exit area. A pressure differential between the inlet and the outlet determines the overall acceleration efficiency of the assembly. Designers calculate these dimensions based on the heat capacity ratio and the stagnation conditions of the gas.
The expansion ratio prevents flow separation and shockwave formation within the wall boundaries.
Performance Limit
Thermodynamic choking occurs at the narrowest section whenever the upstream pressure exceeds the critical threshold. Maximum mass flow remains constant once sonic velocity is reached at this point regardless of additional downstream pressure reduction. Changes in the ambient back pressure affect the exhaust plume structure and shock cell patterns.
Operating Boundary
High pressure gas streams must maintain laminar characteristics to avoid efficiency losses during the transition. Materials forming the inner wall face extreme temperature gradients and mechanical stress from rapidly accelerating gas. Mechanical failure occurs if the wall profile creates abrupt transitions that trigger boundary layer detachment.
Proper geometry prevents structural fatigue by stabilizing the pressure gradient across the entire length of the component.