Shuttle OMS

RocketIsp version 0.1.12 Sunday, Jul 19, 2026 at 09:15AM
      N2O4/MMH
IspVac     = 315.297 sec
MRcore     = 1.83333
MRthruster = 1.65
Rt         = 2.90533 in
At         = 26.5179 in**2
Pc         = 125 psia
Fvac       = 6000 lbf
cham_freq  = 4343.56 Hz (2T=4485 Hz)
Nelements  = 276 (set by acoustics)
elemDens   = 3.9046 elem/in**2
DorfOx     = 0.0456 in
DorfFuel   = 0.0401 in
Plot
Plot
Plot
Geometry
Input
Parameter = Value Alt Value Description
cham_conv_deg = 30.00 deg half angle of conical convergent section
CR = 2.5 chamber contraction ratio (Ainj / Athroat)
eps = 55 nozzle area ratio (Aexit / Athroat)
LchamberInp = None in user input value of chamber length (will override all other entries)
LchmMin = 2.000 in 5.080 cm
0.167 ft
minimum chamber length (will override LchmOvrDt)
LchmOvrDt = 3.1 ratio of chamber length to throat diameter (Lcham / Dthrt)
LnozInp = None in user input nozzle length (will override pcentBell)
pcentBell = 80 nozzle percent bell (Lnoz / L_15deg_cone)
RchmConv = 1 radius of curvature at start of convergent section (Rconv / Rthrt)
RdwnThroat = 1 radius of curvature just downstream of throat (Rdownstream / Rthrt)
Rthrt = 2.905 in 7.380 cm
0.242 ft
throat radius
RupThroat = 1.5 radius of curvature just upstream of throat (Rupstream / Rthrt)
Output
Parameter = Value Alt Value Description
Ainj = 66.295 in**2 427.708 cm**2 area of injector
At = 26.518 in**2 171.083 cm**2 throat area
Dexit = 43.093 in 109.456 cm
3.591 ft
nozzle exit diameter
Dinj = 9.187 in 23.336 cm
0.766 ft
diameter of injector
Dthrt = 5.811 in 14.759 cm
0.484 ft
throat diameter
entrance_angle = 34.79 deg nozzle initial expansion angle
exit_angle = 7.70 deg nozzle exit angle
Lcham_conv = 4.871 in 12.371 cm
0.406 ft
length of convergent section of chamber
Lcham_cyl = 13.142 in 33.382 cm
1.095 ft
length of cylindrical section of chamber
Lnoz = 55.656 in 141.366 cm
4.638 ft
nozzle length
Ltotal = 73.669 in 187.119 cm
6.139 ft
nozzle + chamber length
Rinj = 4.594 in 11.668 cm
0.383 ft
radius of injector
Vcham = 1090.0 in**3 17862.4 cm**3 approximate chamber volume
N2O4/MMH Core Stream Tube
Input
Parameter = Value Alt Value Description
adjCstarODE = 1 multiplier on NASA CEA code value of cstar ODE (default is 1.0)
adjIspIdeal = 1 multiplier on NASA CEA code value of Isp ODE (default is 1.0)
CdThroat = 0.989746 Cd of throat (RocketThruster object may override)
(MLP fit)
fuelName = MMH name of fuel (e.g. MMH, LH2)
ignore_noz_sep = 0 flag to force nozzle flow separation to be ignored (USE WITH CAUTION)
MRcore = 1.83333 mixture ratio of core flow (ox flow rate / fuel flow rate)
oxName = N2O4 name of oxidizer (e.g. N2O4, LOX)
Pamb = 0.00 psia 0.00 MPa
0.00 atm
0.00 bar
ambient pressure (for example sea level is 14.7 psia)
Pc = 125.0 psia 0.86 MPa
8.51 atm
8.62 bar
chamber pressure
Output
Parameter = Value Alt Value Description
CfAmbDel = 1.8101 delivered ambient thrust coefficient
CfVacDel = 1.8101 delivered vacuum thrust coefficient
CfVacIdeal = 1.91514 ideal vacuum thrust coefficient
cstarERE = 5572.5 ft/s 1698.5 m/s delivered core cstar
cstarODE = 5693.3 ft/s 1735.3 m/s core ideal cstar
FvacBarrier = 1648.5 lbf 7333.0 N vacuum thrust due to barrier stream tube
FvacCore = 4351.5 lbf 19356.3 N vacuum thrust due to core stream tube
FvacTotal = 6000.0 lbf 26689.3 N total vacuum thrust
gammaChm = 1.14074 core gas ratio of specific heats (Cp/Cv)
IspDel = 315.30 sec 3092.01 N-sec/kg
3.09 km/sec
<=== thruster delivered vacuum Isp ===>
IspDel_core = 319.25 sec 3130.79 N-sec/kg
3.13 km/sec
delivered Isp of core stream tube
IspODE = 338.89 sec 3323.37 N-sec/kg
3.32 km/sec
core one dimensional equilibrium Isp
IspODF = 318.56 sec 3123.99 N-sec/kg
3.12 km/sec
core frozen Isp
IspODK = 331.08 sec 3246.80 N-sec/kg
3.25 km/sec
core one dimensional kinetic Isp
MRthruster = 1.65 total thruster mixture ratio')
MWchm = 21.211 g/gmole core gas molecular weight
Pexit = 0.1606 psia 0.00 MPa
0.01 atm
0.01 bar
nozzle exit pressure
TcODE = 5612.0 degR 3117.8 degK
2844.6 degC
5152.3 degF
ideal core gas temperature
wdotFl = 7.181 lbm/s 3.257 kg/s total fuel flow rate
wdotOx = 11.849 lbm/s 5.374 kg/s total oxidizer flow rate
wdotTot = 19.030 lbm/s 8.632 kg/s total propellant flow rate (ox+fuel)
At Injector Face
Parameter = Value Alt Value Description
wdotFl_cInit = 6.463 lbm/s 2.932 kg/s initial core fuel flow rate (before any entrainment)
wdotFlFFC = 0.718 lbm/s 0.326 kg/s fuel film coolant flow rate injected at perimeter
wdotTot_cInit = 18.312 lbm/s 8.306 kg/s initial core total flow rate (before any entrainment)
After Entrainment
Parameter = Value Alt Value Description
wdotFl_b = 2.370 lbm/s 1.075 kg/s barrier fuel flow rate (FFC + entrained)
wdotFl_c = 4.811 lbm/s 2.182 kg/s final core fuel flow rate (injected - entrained)
wdotOx_b = 3.029 lbm/s 1.374 kg/s barrier oxidizer flow rate (all entrained)
wdotOx_c = 8.820 lbm/s 4.000 kg/s final core oxidizer flow rate (injected - entrained)
wdotTot_b = 5.399 lbm/s 2.449 kg/s total barrier propellant flow rate (includes entrained)
wdotTot_c = 13.630 lbm/s 6.183 kg/s total final core propellant flow rate (injected - entrained)
Efficiencies
Output
Parameter = Value Description
Isp = 0.93038 Overall Isp Efficiency
Noz = 0.96247 Nozzle Efficiency
ERE = 0.97878 Energy Release Efficiency of Chamber
FFC = 0.98761 (barrier calc) Fuel Film Cooling Efficiency of Chamber
Nozzle
Parameter = Value Description
Div = 0.99303 (simple fit eps=55, %bell=80) Divergence Efficiency of Nozzle
Kin = 0.97696 (MLP fit) Kinetic Efficiency of Nozzle
BL = 0.99208 (MLP fit) Boundary Layer Efficiency of Nozzle
Chamber
Parameter = Value Description
Mix = 0.99494 (mixAngle=1.42 deg) Inter-Element Mixing Efficiency of Injector
Em = 0.98537 (Rupe elemEm=0.8) Intra-Element Mixing Efficiency of Injector
Vap = 0.99837 (gen vaporized length) Vaporization Efficiency of Injector
Ignored Efficiencies
        TP: Two Phase Efficiency of Nozzle
        HL: Heat Loss Efficiency of Chamber
Barrier Stream Tube
Input
Parameter = Value Description
ko = 0.035 entrainment constant (typical value is 0.035, range from 0.03 to 0.06)
pcentFFC = 10 percent fuel film cooling ( FFC flowrate / total fuel flowrate)
Output
Parameter = Value Alt Value Description
cstarERE_b = 5482.1 ft/s 1671.0 m/s delivered cstar
cstarODE_b = 5601.0 ft/s 1707.2 m/s ideal equilibrium cstar
fracEntr = 0.25565 fraction of core flow entrained into barrier
fracKin_b = 0.389259 fraction of kinetic completion in barrier
IspDel_b = 305.31 sec 2994.10 N-sec/kg
2.99 km/sec
delivered vacuum barrier Isp
IspODE_b = 321.319 sec. ideal equilibrium barrier Isp
IspODF_b = 313.64 sec 3075.72 N-sec/kg
3.08 km/sec
ideal frozen barrier Isp
IspODK_b = 316.63 sec 3105.05 N-sec/kg
3.11 km/sec
vacuum kinetic Isp of barrier
MRbarrier = 1.27792 barrier mixture ratio at throat
MRwall = 0.860525 mixture ratio at throat wall
TcODE_b = 4933.1 degR 2740.6 degK
2467.4 degC
4473.4 degF
average ideal ODE temperature of barrier gas
Twallgas = 3786.1 degR 2103.4 degK
1830.3 degC
3326.5 degF
temperature of gas at throat wall (cooler upstream)
WentrOvWcool = 6.51908 ratio of entrained flow rate to FFC flow rate
N2O4/MMH Injector
Assumptions
NOTE: Injector elements are designed by Initial Core Flow ONLY.
      Fuel Film Cooling orifices must be designed separately.
NOTE: number of elements set by acoustics
      Acoustic frequency set by 2T
Fuel Orifice Diameter Meets Stability Requirement of >= 40.1 mil
Chamber design frequency set by: acoustics to: 4344 Hz, (2T=4485 Hz)
Input
Parameter = Value Alt Value Description
desAcousMode = 2T driving acoustic mode of injector OR acoustic mode multiplier (setNelementsBy=="acoustics" and setAcousticFreqBy=="mode")
DorfMin = 0.0080 in 8.000 mil
0.203 mm
minimum orifice diameter (lower limit)
elemEm = 0.8 intra-element Rupe mixing factor (0.7 below ave, 0.8 ave, 0.9 above ave)
setAcousticFreqBy = mode flag indicating how to determine design frequency. (can be "mode" or "freq")
setNelementsBy = acoustics flag determines how to calculate number of elements ( "acoustics", "elem_density", "input")
Ox Properties
Parameter = Value Alt Value Description
CdOxOrf = 0.75 flow coefficient of oxidizer orifices
dropCorrOx = 0.33 oxidizer drop size multiplier (showerhead=3.0, like-doublet=1.0, vortex=0.5, unlike-doublet=0.33)
fdPinjOx = 0.25 fraction of Pc used as oxidizer injector pressure drop
LfanOvDorfOx = 20 fan length / oxidizer orifice diameter
OxOrfPerEl = 1 number of oxidizer orifices per element
Tox = 530.0 degR 294.4 degK
21.3 degC
70.3 degF
temperature of oxidizer
Fuel Properties
Parameter = Value Alt Value Description
CdFuelOrf = 0.75 flow coefficient of fuel orifices
dropCorrFuel = 0.33 fuel drop size multiplier (showerhead=3.0, like-doublet=1.0, vortex=0.5, unlike-doublet=0.33)
fdPinjFuel = 0.25 fraction of Pc used as fuel injector pressure drop
FuelOrfPerEl = 1 number of fuel orifices per element
LfanOvDorfFuel = 20 fan length / fuel orifice diameter
lolFuelElem = 0 flag for like-on-like fuel element (determines strouhal multiplier)
Tfuel = 530.0 degR 294.4 degK
21.3 degC
70.3 degF
temperature of fuel
Output
Parameter = Value Alt Value Description
des_freq = 4343.6 Hz chamber design acoustic frequency
DorfFlForHzLimit = 0.040 in 40.138 mil
1.019 mm
fuel orifice Diameter for frequency in Hewitt Correlation
elemDensCalc = 3.905 elem/in**2 0.605 elem/cm**2 element density on injector face
Nelements = 276 number of elements on injector face
NelemMakable = 6948 maximum number of makable elements giving correct flow rate (diam=DorfMin)
Ox Properties
Parameter = Value Alt Value Description
AfloOx = 0.450 in**2 2.906 cm**2 total flow area of oxidizer
dHvapOx = 177.52 BTU/lbm 98.69 cal/g
412.91 J/g
oxidizer heat of vaporization
DorfOx = 0.0456 in 45.584 mil
1.158 mm
oxidizer orifice diameter
dpOx = 31.25 psid 0.22 MPa
2.13 atm
2.15 bar
oxidizer injector pressure drop
MolWtOx = 92.011 g/gmole oxidizer molecular weight
NOxOrf = 276 number of oxidizer orifices on injector face
sgOx = 1.439 g/ml 0.052 lbm/inch**3
89.823 lbm/ft**3
oxidizer density
surfOx = 1.483e-04 lbf/in 2.598e-02 N/m
2.598e+01 mN/m
2.598e+01 dyne/cm
oxidizer surface tension
velOx_fps = 56.8 ft/s 17.3 m/s velocity of injected oxidizer
viscOx = 2.777e-04 poise 2.777e-02 cpoise
2.777e-05 Pa*s
6.718e-02 lbm/hr/ft
oxidizer viscosity
Fuel Properties
Parameter = Value Alt Value Description
AfloFuel = 0.349 in**2 2.253 cm**2 total flow area of fuel
dHvapFuel = 376.36 BTU/lbm 209.23 cal/g
875.41 J/g
fuel heat of vaporization
DorfFuel = 0.0401 in 40.141 mil
1.020 mm
fuel orifice diameter
dpFuel = 31.25 psid 0.22 MPa
2.13 atm
2.15 bar
fuel injector pressure drop
MolWtFuel = 46.072 g/gmole fuel molecular weight
NFuelOrf = 276 number of fuel orifices on injector face
sgFuel = 0.879 g/ml 0.032 lbm/inch**3
54.866 lbm/ft**3
fuel density
surfFuel = 1.951e-04 lbf/in 3.417e-02 N/m
3.417e+01 mN/m
3.417e+01 dyne/cm
fuel surface tension
velFuel_fps = 72.6 ft/s 22.1 m/s velocity of injected fuel
viscFuel = 5.534e-04 poise 5.534e-02 cpoise
5.534e-05 Pa*s
1.339e-01 lbm/hr/ft
fuel viscosity
Vaporization
Parameter = Value Alt Value Description
chamShapeFact = 0.6775 chamber shape factor
fracVapFuel = 0.9952 fraction of vaporized fuel
fracVapOx = 0.9998 fraction of vaporized oxidizer
genVapLenFuel = 51.90 Priem generalized vaporization length of fuel
genVapLenOx = 150.86 Priem generalized vaporization length of oxidizer
mrVap = 1.8418 vaporized mixture ratio
rDropFuel = 0.7558 mil 19.20 micron
0.02 mm
median fuel droplet radius
rDropOx = 0.5963 mil 15.15 micron
0.02 mm
median ox droplet radius
Combustion Stability
Parameter = Value Alt Value Description
cham sonicVel = 3532.3 ft/s 1076.7 m/s approximate gas sonic velocity in chamber
fdPinjFuelReqd = 0.137341 minimum required fuel dP/Pc
fdPinjOxReqd = 0.184428 minimum required oxidizer dP/Pc
tauFuel = 0.920903 ms fuel lag time (tau/tResid=0.608969)
tauOx = 1.33807 ms oxidizer lag time (tau/tResid=0.884827)
tResid = 1.5122 ms residual time in chamber
Acoustic Modes
Parameter = Value Alt Value Description
1L = 1176 Hz
80% of 1T = 2163 Hz no damping required here
1T = 2704 Hz
=====> DESIGN = 4343 Hz <== DESIGN IS HERE
2T = 4485 Hz
80% of 1R = 4501 Hz baffles-only work here
80% of 3T = 4935 Hz cavities-only work here
1R = 5627 Hz
3T = 6169 Hz baffles + cavities OR multi-tuned cavities
3T = 6169 Hz <== MAX FREQUENCY... KEEP Hz HERE OR BELOW
4T = 7809 Hz
1T1R = 7829 Hz
2T1R = 9848 Hz
2R = 10302 Hz
3T1R = 11770 Hz
1T2R = 12521 Hz