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German Aerospace Center Institute of Space Systems Space Launcher System Analysis Linzer Str. 1 28359 Bremen Germany
EUCASS 2015
Modelling of Propellant Management Systems in Early-Phase Launcher Development
Vanessa Clark
Contents
www.DLR.de/SART • Chart 2
Introduction
PMP Modelling Approach
Saturn-V and AS506 Vehicle Overview
Mission Overview
Sizing Results Layout
Ullage Evolution and NPSP
Conclusion and Recommendations
> PMP > Vanessa Clark • EUCASS > 01.07.2015
Source: NASA
Introduction
www.DLR.de/SART • Chart 3 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Motivation Cryogenic Stages
High specific impulse; increase payload mass Cryogenic tanks: critical technologies
Typical integral structural role; large influence on overall design
Propellant management
Crucial functional role; highly sensitive
Saturn-V: Wealth of stage and flight data (e.g. AS506) Similar yet highly complex system
Source: NASA
Source: NASA
Introduction
www.DLR.de/SART • Chart 4 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Propellant Storage and Management Mass
Tanks
Cylinders
Domes
Baffles
Y-Rings, Manholes
Lines
Feedlines
Fill and Drain Lines
Pressurisation Lines
Valves and Regulators
Pressurant Gas Storage
Pressurant Gas
Tanks
Heaters, heat exchangers
Thermal Management
Thermal Insultation
Introduction
www.DLR.de/SART • Chart 5 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Space Transportation System (STS) Preliminary Design DLR-SART Tool box has been developed for preliminary space transportation system analysis and design:
Fast computation time (seconds, minutes); modelling (minutes, few hours)
Simple Flexible Reliable Modular
Configuration and mass
Thermal
Structure
Flight dynamics and control
Aerodynamics
Propulsion
Trajectory
Subsystems
Introduction
www.DLR.de/SART • Chart 6 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Configuration and Mass
Propulsion
Aerodynamic
Trajectory
Thermal
Control
Structures
Subsystems
Introduction
www.DLR.de/SART • Chart 7 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Configuration and Mass
Propulsion
Aerodynamic
Trajectory
Thermal
Control
Structures
Subsystems
Thermal heat flux
Loads, environmental conditions
Eigenfrequencies
New structural mass
Required tank volumes
Engine requirements, mass flow rates, mixture ratios
PMP Modelling Approach
www.DLR.de/SART • Chart 8 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Program Function Rapid sizing and layout of tanks (length,
mass, thickness) and lines (mass) The layout of the pressurisation system:
Simulation of the entire mission, including stage loads, thermal loads, engine operation and the logical control of the ullage pressures, including both pressurant gas injection and venting.
www.DLR.de/SART • Chart 9 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach Models The calculation methods employed in the program
are 1-dimensional, and involve integral consideration of control volumes.
Liquid stratification: Heat flow over liquid-vapor interface Heat input through tank walls Liquid mass is divided in horizontal, discrete layers Heat conduction from layer to layer Sloshing implemented by increased heat transfer
coefficient between layers
www.DLR.de/SART • Chart 10 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach Models Ullage pressure regulation simulated over the mission, with
simplified control logic enacted: Pressure maintained within specified operating window through
venting or the injection of pressurant gas into tank ullages (bang-bang style).
Valve diametres, delay times can be specified.
Currently, only ideal gas laws are considered, however real
gas law implementation is foreseen.
www.DLR.de/SART • Chart 11 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach Models
Pressure rate:
Flow rate vaporized propellant (Hertz-Knudsen):
Mass pressurant gas: Internal energy ullage over time (no heatflow):
Gasmixture temperature rate:
′′′′
−′′′′
⋅′′⋅+′′⋅+′′⋅−⋅′′′′
=VV
TTRmRmRmm
VTp pgpgvapventvap
)()(
pgvap
vap
sativap
mmm
ratio
ratioppTR
Am
+=
⋅′′−⋅′′⋅′′⋅
⋅⋅= − )(2
110 6
π
ZTRVpm
pgpg ′′⋅′′⋅′′
′′⋅=
vvap cmUT
′′⋅′′′′
=′′
TcmTcmmU vvapvventvap ′′⋅′′⋅−′′⋅′′⋅′′−′′=′′ )(
www.DLR.de/SART • Chart 12 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach Models
Ullage volume rate:
Ullage temperature rate:
Ullage pressure rate:
Vaporised propellant volume rate:
ppgvap
propvapgasliqwallgaswallproppgppg
cmmhmQQQTTcm
T′′⋅+
⋅−−++′′−⋅′′⋅=′′ −
)()( ,,
liq
vapdrain mmV
ρ′′+
=′′
TRV
mmTR
Vmm
p ventvapventprop ′′⋅′′′′
′′−′′+′′⋅′′⋅
′′
′′−′′=′′
pTRZmmV ventvapvap ′′′′
⋅′′⋅′′⋅′′−′′=′′ )(
www.DLR.de/SART • Chart 13 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach
www.DLR.de/SART • Chart 14 > PMP > Vanessa Clark • EUCASS > 01.07.2015
PMP Modelling Approach Program Functionality Inputs: Geometry inputs
Propellant masses (ascent, descent, residual, reserve)
Tank type and design factors Tank initial thermal conditions
Mission history inputs Ullage pressure requirements Engine mass flow rate Flght profile (loads, external
temperature, heat fluxes)
Outputs: Static outputs:
Tank thickness, length and volume,
Tank, line masses, Residuals (fluid and gaseous)
Time-dependant
History of mass flows, velocities, pressures, NPSPs, heat transfer
Ullage temperatures and pressures, evaporation
www.DLR.de/SART • Chart 15 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Saturn-V and AS506
www.DLR.de/SART • Chart 16 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Vehicle Overview
Wernher von Braun; F-1 Engines
Source: NASA
Saturn-V and AS506
www.DLR.de/SART • Chart 17 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Vehicle Overview
S-IC
S-II
S-IVB
Saturn-V and AS506
www.DLR.de/SART • Chart 18 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Vehicle Overview S-IVB Third Stage
9 x cold spheres for LOX pressurisation/re-pressurisation
and LH2 re -pressurisation
2 x reserve ambient spheres for LOX re-
pressurisation 6 x reserve ambient spheres for LH2 re-
pressurisation
Saturn-V and AS506
www.DLR.de/SART • Chart 19 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Mission Overview
Saturn-V and AS506
www.DLR.de/SART • Chart 20 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Mission Overview
Saturn-V and AS506
www.DLR.de/SART • Chart 21 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Mission Overview
Saturn-V and AS506
www.DLR.de/SART • Chart 22 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Mission Overview
Sizing Results
www.DLR.de/SART • Chart 23 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing
Sizing Results
www.DLR.de/SART • Chart 24 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing
Internal and hydrostatic pressure used for structural sizing
Sizing Results
www.DLR.de/SART • Chart 25 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Ullage Evolutions S-II
Sizing Results
www.DLR.de/SART • Chart 26 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Ullage Evolutions S-IVB
Sizing Results
www.DLR.de/SART • Chart 27 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Pressurant Gas Consumption
Sizing Results
www.DLR.de/SART • Chart 28 > PMP > Vanessa Clark • EUCASS > 01.07.2015
NPSP S-II
Sizing Results
www.DLR.de/SART • Chart 29 > PMP > Vanessa Clark • EUCASS > 01.07.2015
NPSP
Conclusion
www.DLR.de/SART • Chart 30 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Future Work Comparison to empirical models
(mass; estimation) and high-fidelity tools (2D – EcoSim Pro; CFD)
Commonality of geometry models with e.g. strucrtural analysis program
Conclusion
www.DLR.de/SART • Chart 31 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Future Work Improved ullage pressure control
logic
Extension to multi-faceted pressurisation systems
Refine thermal models: Heat exchangers Heat flux between elements:
submerged lines and pressurant tanks; engine
Eclipse, solar beta-angle
Conclusion
www.DLR.de/SART • Chart 32 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Overview of PMP provided
AS506 successfully modelled despite the high system complexity.
PMP can only be utilised by experienced engineers who are able to knowledgeably adapt the input parameters and select the most relevant and realistic program outputs and discard those which are invalid.
Source: NASA
www.DLR.de/SART • Chart 33
questions?
> PMP > Vanessa Clark • Kick Off> 23.02.2015
Sizing Results
www.DLR.de/SART • Chart 34 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing
Sizing Results
www.DLR.de/SART • Chart 35 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing
Sizing Results
www.DLR.de/SART • Chart 36 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing Structural masses:
Static loads only considered; dynamic launch pad, gust or guidance and control system-driven stiffness requirements tend to be the critical loads.
Second and third stage estimates closer; the overall trend from the reference mass data: Reduced structural mass higher in the vehicle due to decreasing loads, The five F-1 engines act on the S-IC first stage with a force per unit area
exceeding the tank pressures. Furthermore, at the end of the first stage burn, the thrust to be
transmitted through the entire empty stage to the S-II LOX tank, where the largest fraction of the stage mass at this time point is centred.
Sizing Results
www.DLR.de/SART • Chart 37 > PMP > Vanessa Clark • EUCASS > 01.07.2015
Tank Layout and Plumbing Subsequent analyses for smaller stages
showed a lower mass discrepancy for tanks (maximum ±12%) and lines (maximum ±12%)
Valid range of stage sizes for mass estimations needs to be determined through extensive case studies