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Transient startup of a liquid-fueled rocket nozzle using a 2D axisymmetric compressible-flow. 1.1 MN of thrust

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Transient Rocket Nozzle

**The transient run plateaus around 1.1 MN which matches the steady-state solution.

Transient simulation was stopped at 0.025 seconds run time.

Thrust definition Thrust Equation

Geometry

Inspiration: Based on the “Design and analysis of morphing rocket nozzle for thrust vector control” concept on GrabCAD, but morphing/TVC was intentionally removed for this exercise. The model here is a fixed, 2D axisymmetric bell nozzle sized for clarity and repeatability. exit diamter: 1.24 meters
Reference: https://grabcad.com/library/design-and-analysis-of-morphing-rocket-nozzle-for-thrust-vector-control-1

Coordinate system: Axisymmetric (x along centerline, r radial).

Simplifications vs. the morphing concept

  • 2D axisymmetric: captures startup physics (shock/expansion pattern and plume development).

Species breakdown

  • Initial Condition Air mass fraction ≈ 1 in entire domain.

Exhaust Species Breakdown (mass fraction) RP-1/LOX fuel

Species Formula Fraction Percentage
Water H₂O 0.291 29.1%
Carbon Dioxide CO₂ 0.227 22.7%
Carbon Monoxide CO 0.056 5.6%
Hydrogen H₂ 0.048 4.8%
Oxygen O₂ 0.007 0.7%
Nitrogen N₂ 0.371 37.1%
Total 1.0 100%

Mesh & pressure ramp

Pressure ramp used in the transient:

Pressure ramp

2D axisymmetric mesh:

Mesh

Wall Y+ hits exactly 1 at the nozzle exit last cell K-omega SST turbulence model was used for this exersize Key settings: Δt = 1e−6 s, total simulated time = 0.025 s, implicit transient, ~25 inner iterations/step.


Thrust was computed at the exit plane: area-weighted Mdot, Velocity, and Pressure; subtract P_infinity. Domain & outlet: Ensure far-field is large and non-reflecting.

Expectation: Once the ramp completes and the exit plane stabilizes, the transient time-average will rise toward the steady ≈1.1 MN.

Videos Below (click the link):

Mach Number

Rocket Nozzle Mach Number Contours

Species (Air)

Rocket Nozzle Species (Air) Contours

Temperature

Rocket Nozzle Temperature Contours

Velocity

Rocket Nozzle Velocity Contours

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Transient startup of a liquid-fueled rocket nozzle using a 2D axisymmetric compressible-flow. 1.1 MN of thrust

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