Title:
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Experimental characterisaion analytical modelling of rocket nozzle side-loads
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During sea-level transients, such as engine start-up or shut-down, ramping chamber
pressure causes the nozzle exit pressure to fall below ambient conditions, resulting in flow
over-expansion. Internal shockwaves form that incite unsteady boundary layer separation
producing an asymmetric internal pressure field that manifests as dynamic off-axis loads.
These side-loads reduce the safe-life of the vehicle and have also be known to cause sudden
catastrophic failure. As a result, rocket nozzle area ratio is purposely limited to ensure that
flow separation does not occur elsewhere in the mission profile and as such, the vacuum
performance of the vehicle is reduced by as much as 20%.
An experimental study comparing the side-load distributions of four conical nozzles
with wall angles, 8.3°, 10.4°, 12.6° and 14.8° a truncated ideal contour and thrust optimised
parabolic nozzle has been carried out. Direct side-load measurements taken using a
strain tube have shown that conical nozzle wall angle has very little affect on the side-load
magnitude. The truncated ideal contour nozzle displayed the lowest side-load distribution
and was found to be approximately 50% lower than the magnitudes produced by the thrust
optimised parabolic.
An analytical model has been developed to simulate the side-load distribution across
geometries which only produce free-shock separation. A universal method of replicating
the pressure distribution across a free-shock separated nozzle was first developed, validated
with a high level of confidence against three nozzle geometries. This was used in conjunction
with a shock excursion model, whereby the oblique shock relation was perturbed to
first order in order to generate internal pressure field asymmetry. Comparisons made to
experimental results have shown the side-load model can predict distributions with errors
as low as 3.58% for truncated ideal contour nozzles.
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