JacketMilled liner and channelUnlike doubletIgniterCoolant inlet at the exitFuel gallery

What the cut shows

Nozzle down, injector at the top. The flat face is a diametral section. Kerosene enters the round manifold beside the nozzle exit, runs up the milled channels between the hot wall and the machined jacket, and leaves through the forward manifold into the fuel gallery behind the face. Each near-side channel is one slot from the divergent, across the throat, and up the barrel (24 of 56 face the camera). The short radial marks at each end of those slots are the distribution holes. They stay outboard of the hot wall, through the closeout into the manifold, and do not open into the gas. The unwrapped strip below is every channel and every rib. The lit pair is one unlike doublet, meeting off the face. The fuel hole leaves the gallery; the oxidizer hole leaves the torus in the dome. Eight bolts hold the injector flange. The small boss on the barrel is a chamber-pressure tap; its station is schematic. The center boss is the igniter, with the electrode on the axis. Two O-ring sections sit on the injector joint and the aft joint. The jacket hides the channels until the explode. The head section below is the same galleries, larger, still in proportion.

The center port drawn in the face is a passage for a non-hypergolic igniter. Its diameter is schematic. The barrel is long on purpose. L* is 40 in and the throat is 31.5 mm, so the cylinder is 237 mm on a 63 mm bore, about 3.8 diameters. The cut passes through a channel on one side and a rib on the other. Wall thicknesses on the main view are true size; the detail below is the same stack, magnified, still in proportion.

Throat land, looking along the channelmachined jacketcoolanthot wallgas0.9 mm1.6 mm deep2.4 mmrib 0.86 mmchannel 1.1 mm wide · 56 aroundInjector face, looking downstreamHoles to scale. Jets meet downstream of the face.Injector head, diametral section, true scalefuel galleryoutlet manifoldO-ringox manifoldigniterchamber
All 56 channels, unwrapped at the throat. Blue is coolant, gray is the rib.

Dimensions and assumptions

ItemValueWhere it came from
Thrust, sea level500 lbf (2224 N)Request. Optimum expansion, Pe = Pa.
Chamber pressure300 psiaRequest. Injector-end stagnation, treated as uniform.
Ambient14.696 psiaStandard sea level.
PropellantsLiquid N2O / kerosene (RP-1 density)Fuel is the coolant. Not hypergolic.
Mixture ratio O/F7.0Assumption, fuel-rich of a rough N2O/RP-1 stoichiometric estimate near 9. Not a CEA optimum.
γ1.233Taken from the LOX/RP-1 worked example in Huzel and Huang, NASA SP-125 §4.1 (γ = 1.233). Not an N2O equilibrium.
c*1500 m/sAssumption, below the SP-125 LOX/RP-1 example c* of 5400 ft/s, because N2O carries nitrogen. Not a CEA result.
Divergence factor λ0.983(1 + cos 15°)/2 applied to the one-dimensional Cf.
Cf, sea level1.380Momentum Cf at Pe = Pa, times λ. Pressure term is zero.
Exit Mach2.57Isentropic, frozen γ.
Expansion ratio ε3.53Solved so Pe = Pa. The SP-125 example's 8:1 is a different engine.
Throat diameter31.49 mm (1.240 in)At = F / (Cf Pc).
Exit diameter59.14 mmε and the throat.
Chamber diameter62.99 mmContraction ratio 4. The SP-125 100 klbf example used 1.60 because its throat was already large.
L*40 in (1016 mm)Near the SP-125 hypothetical chamber's 38 in (§4.1 item 16), rounded up for a small N2O chamber.
Cylindrical length237.3 mmWhatever is left after the throat land and the convergent frustum so that Vc/At = L*.
Convergent30° half-angle, 27.3 mmLayout assumption.
Divergent15° half-angle cone, 51.6 mmFirst-pass cone, not a Rao bell. NASA SP-8120 is the nozzle monograph.
Throat land3 mmShort cylinder. The throat plane is its downstream end.
Hot wall0.9 mm copper-alloy linerConstant in this pass. A real contour thins it where the flux peaks. Square sidewalls, per the milled-channel correction in Gradl's channel-wall notes.
Channels56 × 1.1 mm wide × 1.6 mm deepConstant section. Pitch is closed on the throat mid-channel circumference.
Rib at the throat0.86 mmLands stay wide enough to inspect. Ribs grow as the radius grows; channel width stays at the cutter width.
Closeout2.4 mm machined jacketSeparate body seated on the lands. Electroformed nickel is the TM-X-3499 closeout; this jacket is machined so it can come off.
Coolant pathKerosene, single up-passInlet manifold at the nozzle exit, counterflow through the closeout into the forward manifold, then into the fuel gallery. Distribution holes do not pierce the hot wall.
Fuel galleryAnnulus behind the faceMean radius on the fuel-orifice circle, 3.5 mm behind the face. The 12 fuel holes leave it. The cross-section is a layout assumption, not a manifold drawing.
Oxidizer manifoldTorus in the domeFeeds the N2O orifices. The section shows the torus and one branch to the drawn doublet. Wall thickness around it is a layout assumption.
Injector12 unlike doubletsLiquid/liquid. SP-8089 element family. SP-125's illustrated LOX injector is like-on-like; this face is unlike.
Injector ΔP20% of Pc (60 psi)SP-125 rule of thumb, 15 to 20 percent of nozzle stagnation pressure. Top of that band.
Cd0.75Inside the SP-125 range 0.5 to 0.92. Not a water-flow calibration.
Fuel orifice0.86 mm dia, 12 holesρ = 810 kg/m³.
N2O orifice2.29 mm dia, 12 holesρ = 780 kg/m³, saturated liquid near 20 °C. Colder liquid is denser and the hole shrinks.
Impingement60° includedFan meets off the face. The SP-125 example used 40° included on like doublets.
IgniterCenter port in the faceSP-125: an ignition device for a non-hypergolic combination, on the injector centerline.
SealsTwo static O-ringsInjector-to-chamber and aft manifold. SP-125 seals the injector to the body with an O-ring compatible with the fuel.
Injector bolts8 on the flangeLayout assumption for a flange of this diameter. SP-125 bolts the injector to the chamber. The count is not from a callout drawing.
Chamber pressure tapOne boss on the barrelSP-125 instruments chamber pressure. The axial station and the port bore on the drawing are schematic.
Mass flow1074 g/s (fuel 134, N2O 940)ṁ = Pc At / c*.

Checks run with the figure

Sources

A rough stoichiometric O/F for N2O and a kerosene near CH2 is about 9 if each nitrous molecule is counted as one oxygen atom. O/F 7 is fuel-rich of that estimate so the coolant is not a trickle. It is not a CEA optimum. c* is an assumption below the SP-125 LOX/RP-1 example of 5400 ft/s, because nitrous carries nitrogen. NASA SP-273 in the library is the equilibrium code that would replace both numbers.