Perform a temporo-spatial integration of the internal ballistics of a hybrid rocket engine. Use equation (16-1) for the regression rate. If necessary, you may avoid the singularity near x = 0 by using equation (16.2) in this region.

Parameters

L = 5 m

d = .3 m

D = 1 m

a = .036

A* = .025 m²

rho_p = 920 kg/m³

m dot ox = 20 kg/s

The fuel is HTPB, and the oxidizer is O₂.

Use these curve fits for reference.

G0.8 r = 0.036- Pf 0.2 (4) 80.23