Numengo provides system simulation solutions for thermofluidic applications. Our library, numenGo|FL, provides generic and reusable state of the art models for fluid properties, mass and heat transfer, with advanced features for real fluids, compressible and two-phase flows. Therefore, it particularly fits space equipments modeling requirements. This presentation presents Simulink interrface.

1. Cryogenic space systems
simulation with numenGo|FL
© numenGo | www.numengo.com 1/20

2. Cryogenic space propulsion specifics
● Launcher engines
● Medias
● Liquids
● Gas
● 2-phase
● Solids
● pure/mixture
● mass/heat transfer
● compressible
● 2-phase
© numenGo | www.numengo.com 2/20

3. Cryogenic space propulsion specifics
● Cryogenic storage
● Stratified storage
● Micro-gravity ?
● Off-gassing
● Boiling
● Thermal coupling
© numenGo | www.numengo.com 3/20

4. numenGo
● Thermal Fluids modeling and simulation specialists
● Our Vision
● Capitalize modeling know-how in evolutive, generic, platform independant
libraries
APPLICATIVE
SOLUTIONS
Business Oriented Library
numenGo | FFC
Cryogenics
numenGo|FL
numenGo | MPS
etc..
SIMULATION PLATFORM
Propulsion
YOUR expertise
OUR expertise
THEIR expertise
© numenGo | www.numengo.com 4/20

5. numenGo
● Thermal Fluids modeling and simulation specialists
● Our Vision
● Capitalize modeling know-how in evolutive, generic, platform independant
libraries
APPLICATIVE
SOLUTIONS
numenGo | FFC
Cryogenics
Rocket Engine Add-on
numenGo|FL
numenGo | MPS
SIMULATION PLATFORM
Propulsion
© numenGo | www.numengo.com 5/20

6. Software Components
● numenGo|FL
Contains high level components
numenGo | FFC
Rocket Engine Add-on
numenGo|FL
numenGo | MPS
SIMULATION PLATFORM
© numenGo | www.numengo.com 6/20

7. Software Components
● numenGo|FL
polymorphic components
Thermodynamic sources
flow sources
Heat exchanges
© numenGo | www.numengo.com 7/20

8. Software Components
● numenGo|FL
polymorphic components
● Pipes
● Distributed models
● Dynamic discretization
● Flexible geometry
● Optional Inertial effects
● Convective heat exchange
© numenGo | www.numengo.com 8/20

9. numenGo|FL
● numenGo|MPS
● A Media Property Server to compute fluid or solids thermodynamic
properties, optimized for system simulation
● Object Oriented, compliant to the CAPE-OPEN specification for
physical properties server
● Compute thermodynamic properties for all state of matter:
● Liquid, gas, two-phase or solid
● Pure compound or mixture
● From simple description (ie perfect gas) to most precise state of the
art descriptions (ie fundamental equation of state of Helmholtz, ECS,
etc...
© numenGo | www.numengo.com 9/20

10. numenGo|FL
● numenGo|FFC
FFC is strongly integrated with MPS, and provides all base objects to
solve mass and heat transfer
● Mass transfer models
● Flow equations
● incompressible, real fluid compressible, perfect gas compressible
● Flow resistance models
● Friction factor models (Colebrook, Churchill,...)
● Flow resistance models (2-K method, Cq, Crane...)
● Two-phase flow
● Two-phase correlations (Friedel, Bankoff...)
● Slip ratios (homogeneous, Chisholm, Zivi...)
● Bulk properties (Dukler, Cicchitti, McAdams...)
● Flow component models (tee junction, pumps, turbines, ejectors...)
© numenGo | www.numengo.com 10/20

11. numenGo|FL
● numenGo|FFC
FFC is strongly integrated with MPS, and provides all base objects to
solve mass and heat transfer
● Heat transfer models
● Conduction
● Forced and free convection
● Two-phase forced convection
● Boiling (Chen, VDI...)
● Condensation (Shah, Cavallini & Zecchin...)
● Radiation
© numenGo | www.numengo.com 11/20

12. numenGo|FL
● Focus on an important FFC feature : compressible flows
● Cryogenic systems often deal with fluids with real fluid behaviour
● Supercritical, 2-phase or close to saturation
● Flows canno't be properly predicted with incompressible assumptions, or with
perfect gas compressible assumptions
● Cryogenic systems often use calibrating orifices
● => chocked flows !!
In-house algorithm to compute compressible flows and predict
chocked flows in real fluid domain
Validation against NASA experiments with subcooled N2
● Nasa Technical Memorandum TM X-71516
Two-phase chocked flow of subcooled nitrogen through a slit, NASA, 1974
© numenGo | www.numengo.com 12/20

13. Compressible flows
● NASA experiments vs numenGo's algorithm
© numenGo | www.numengo.com 13/20

14. Applications
● Launcher cryogenic storage
● Aim: predict behaviour over different mission profiles
© numenGo | www.numengo.com 14/20

15. Applications
● Launcher cryogenic storage
© numenGo | www.numengo.com 15/20

16. Applications
● Satellite combined self-pressurized storage
© numenGo | www.numengo.com 16/20

17. Applications
● Satellite combined self-pressurized storage
© numenGo | www.numengo.com 17/20

18. Applications
● Satellite combined self-pressurized storage
© numenGo | www.numengo.com 18/20

19. Possible studies
● Architecture evaluation and cycle performance
● Start-up and shut-down sequence control strategies
● Break-down configuration analysis
● Stability analysis
● Storage management
© numenGo | www.numengo.com 19/20

20. Conclusion
● NumenGo's offer
● State of the art solutions, scalable model database
● Best-in-class physical content
● Unique modelling paradigm
● design new specific models for dedicated business applications
● Highly polymorphic
● From simple to very complex thermofluid systems
● Usable by engineers or experts
● Available on most used system simulation environment
© numenGo | www.numengo.com 20/20