Numerical Model for Molecular and Particulate Contamination Transport
Abstract
A new model for simulating molecular and particulate contamination transport is described. This model is implemented in the Contamination Transport Simulation Program (CTSP). The code uses techniques found in rarefied gas and plasma dynamics codes and represents the contaminants as simulation macroparticles. This kinetic approach allows the code to consider external forces and interparticle interactions. Macroscopic properties such as contaminant plume partial pressure can also be computed. CTSP implements various contamination-specific material sources including a detailed model for molecular outgassing and a model for particulate detachment. The code is demonstrated with four examples focusing on mass transport between two parallel plates, computation of the steady-state equilibrium in a closed vessel, characterization of a test article outgassing rate from a quartz crystal microbalance measurement, and the use of purge gas to reduce the particulate fallout in atmospheric conditions. Simulation results are compared to analytical models.
References
[1] , “Ultraviolet Absorption of Common Spacecraft Contaminants,” NASA TM 80551, 1979.
[2] , The Space Environment, Princeton Univ. Press, Princeton, NJ, 2013, p. 31.
[3] , “Low Earth Orbital Atomic Oxygen and Ultraviolet Radiation Effects on Polymers,” NASA TM 103711, 1991.
[4] , “Photochemical Spacecraft Self-Contamination: Laboratory Results and Systems Impacts,” Aerospace Corp. TR AD-A226 488, El Segundo, CA, 1990.
[5] , “Particle Environment Surrounding the Midcourse Space Experiment Spacecraft,” Journal of Spacecraft and Rockets, Vol. 36, No. 4, 1999, pp. 561–565. doi:https://doi.org/10.2514/3.27200 JSCRAG 0022-4650
[6] , “Modeling Contamination Migration on the Chandra X-Ray Observatory II,” Optical Engineering and Applications, International Soc. for Optics and Photonics, 2013, p. 88590F.
[7] , “Ionization and Attraction of Neutral Molecules to a Charged Spacecraft,” Aerospace Sciences Corp. Rept. SD-TR-80-78, El Segundo, CA, 1980.
[8] , “Self Contamination and Environment of an Orbiting Spacecraft,” NASA TN D-6645, 1972.
[9] , Spacecraft-Environment Interactions, Cambridge Univ. Press, Cambridge, U.K., 1996, pp. 167–177.
[10] , “Spherical-Shaped Ice Particle Production by Spraying Water in a Vacuum Chamber,” IEEE Transaction on Nuclear Science, Vol. 36, No. 6, 1989, pp. 2027–2032. doi:https://doi.org/10.1109/23.45401
[11] , “Development of Versatile Molecular Transport Model for Modeling Spacecraft Contamination,” Optical Systems Contamination: Effects, Measurements, and Control, Vol. 7794, International Soc. for Optics and Photonics, 2010.
[12] , “Electrostatic Return of Contaminants,” NASA CR-2003-212637, 2003.
[13] , “Analysis of Particulate Contamination During Launch of the MMS Mission,” Optical System Contamination: Effects, Measurements, and Control, Vol. 7794, International Soc. for Optics and Photonics, 2010, Paper 77940.
[14] , “Application Highlights of the DSMC Analysis Code (DAC) Software for Simulating Rarefied Flows,” Computer Methods in Applied Mechanics and Engineering, Vol. 191, Nos. 6–7, 2001, pp. 595–609. doi:https://doi.org/10.1016/S0045-7825(01)00304-8
[15] , “Commercial Quartz Crystal Microbalances—Theory and Applications,” Biosensors and Bioelectronics, Vol. 14, Nos. 8–9, 1999, pp. 663–670. doi:https://doi.org/10.1016/S0956-5663(99)00040-8 BBIOE4 0956-5663
[16] , “Analytical Pumping Speed Models for Electric Propulsion Vacuum Facilities,” Proceedings of the Space Propulsion Conference, Asociation Aéronautique et Astronautique de France, 2018, p. 12.
[17] , Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford Science Publ., Oxford, U.K., 1994.
[18] , Plasma Physics via Computer Simulation, Inst. of Physics Publ., Bristol, U.K., 2000.
[19] , “Hybrid PIC-MCC Computational Modeling of Hall Thrusters,” Ph.D. Thesis, Univ. of Michigan, Ann Arbor, MI, 2005.
[20] , “Spherical-Shaped Ice Particle Production by Spraying Water in a Vacuum Chamber,” Applied Thermal Engineering, Vol. 20, No. 5, 2000, pp. 439–454. doi:https://doi.org/10.1016/S1359-4311(99)00035-6 ATENFT 1359-4311
[21] , “Highlights of Transient Plume Impingement Model Validation and Applications,” 42nd AIAA Thermophysics Conference, AIAA Paper 2011-3772, June 2011.
[22] , “A Mathematical Model for Outgassing and Contamination,” SIAM Journal of Applied Math, Vol. 51, No. 5, 1991, pp. 1327–1355. doi:https://doi.org/10.1137/0151067
[23] “ASTM International, Standard Test Method for Contamination Outgassing Characteristics of Spacecraft Materials,” ASTM Paper ASTM-E1559, West Conshohocken, PA, 2009, https://www.astm.org/Standards/E1559.htm.
[24] , The Mathematics of Diffusion, 2nd ed., Oxford Science Publ., Oxford, U.K., 1980, p. 32.
[25] , “Contamination Control Engineering Design Guidelines for the Aerospace Community,” NASA CR 4740, 1996.
[26] “IEST, Product Cleanliness Levels—Applications, Requirements, and Determination,” IEST-STD-CC1246D, Inst. of Environmental Sciences and Technology, Schaumburg, IL, 2002, http://www.iest.org/Standards-RPs/Recommended-Practices/IEST-STD-CC1246.
[27] , “Particulate Contamination Effects on Solar Cell Performance,” Martin Marietta Aerospace Rept. MCR-86-2005, 1986.
[28] , “Surface Particle Obscuration and BRDF Predictions,” Scatter from Optical Components, Vol. 1165, International Soc. for Optics and Photonics, 1989, pp. 381–391. doi:https://doi.org/10.1117/12.962866
[29] , “A Numerical Evaluation of the Correlation of Surface Cleanliness Level and Percent Area Coverage,” Optics and Photonics, International Soc. for Optics and Photonics, 2006.
[30] , “Spacecraft Particulate Contaminant Redistribution,” Proceedings of SPIE 0777, Optical System Contamination: Effects, Measurement, Control, Jan. 1987. doi:https://doi.org/10.1117/12.967084
[31] , Viscous Fluid Flow, McGraw–Hill, New York, 1991, p. 182.
[32] , “Numerical Investigation of Chamber Repressurization,” NASA Goddard Contamination, Coatings, Materials, and Planetary Protection Workshop [CD-ROM], NASA/GSFC, Greenbelt MD, 2017.
[33] , “The Correct and Incorrect Generation of Cosine Distribution of Scattered Particles for Monte-Carlo Modelling of Vacuum Systems,” Vacuum, Vol. 67, No. 2, 2002, pp. 217–222. doi:https://doi.org/10.1016/S0042-207X(02)00173-2 VACUAV 0042-207X
[34] , Thermal Radiation Heat Transfer, CRC Press, Boca Raton, FL, 2015, http://www.thermalradiation.net/sectionc/C-11.html.
[35] , User’s Guide to Vacuum Technology, Wiley, Hoboken, NJ, 2003, pp. 27–28.
[36] “ASTM International, Standard Practice for Spacecraft Hardware Thermal Vacuum Bakeout,” ASTM Paper ASTM-E2900, West Conshohocken, PA, 2012, https://www.astm.org/Standards/E2900.htm.
[37] , “OpenFOAM: A C++ Library for Complex Physics Simulations,” Proceedings of the International Workshop on Coupled Methods in Numerical Dynamics, Dubrovnik, Croatia, 2007.
