Permeability of Ablative Materials Under Rarefied Gas Conditions

Numerical meshes of both cork and carbon fiber ablative materials in their virgin and pyrolized states, with realistic porosity and tortuosity, have been created from microcomputed tomography scans. The porosity of each material has been calculated from the microcomputed scans and used to extract smaller representative sample volumes to perform numerical simulations on. Direct simulation Monte Carlo simulations of rarefied gas flow through these materials have been performed to find the permeability of each material to argon gas and to a gas mixture. The method has been validated by comparing the measured permeability for a Berea sandstone material with previously published experimental values. For the specific pressure conditions investigated here, the cork-phenolic material becomes around 10 times more permeable after being pyrolized, whereas the carbon-phenolic material only becomes five times more permeable than its virgin form. The permeability to the gas mixture is found to be greater than to argon ...

[1]  J. Maxwell,et al.  On Stresses in Rarified Gases Arising from Inequalities of Temperature , 2022 .

[2]  L. Klinkenberg The Permeability Of Porous Media To Liquids And Gases , 2012 .

[3]  C. Ellyett Echoes at D‐heights with special reference to the Pacific Islands , 1947 .

[4]  Graeme A. Bird,et al.  Approach to Translational Equilibrium in a Rigid Sphere Gas , 1963 .

[5]  Claus Borgnakke,et al.  Statistical collision model for Monte Carlo simulation of polyatomic gas mixture , 1975 .

[6]  Graeme A. Bird,et al.  Definition of mean free path for real gases , 1983 .

[7]  S. Whitaker Flow in porous media I: A theoretical derivation of Darcy's law , 1986 .

[8]  W Steckelmacher,et al.  Knudsen flow 75 years on: the current state of the art for flow of rarefied gases in tubes and systems , 1986 .

[9]  W. Wagner A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation , 1992 .

[10]  T. A. Davidson Simple and accurate method for calculating viscosity of gaseous mixtures , 1993 .

[11]  E. M. Schlueter Predicting the transport properties of sedimentary rocks from microstructure , 1995 .

[12]  W. Steckelmacher Molecular gas dynamics and the direct simulation of gas flows , 1996 .

[13]  Michael E. Zolensky,et al.  Stardust: Comet and interstellar dust sample return mission , 2003 .

[14]  H. Tran,et al.  Phenolic Impregnated Carbon Ablators (PICA) for Discovery class missions , 1996 .

[15]  Daniel J. Rasky,et al.  Phenolic Impregnated Carbon Ablators (PICA) as Thermal Protection Systems for Discovery Missions , 1997 .

[16]  M. Gad-el-Hak The Fluid Mechanics of Microdevices—The Freeman Scholar Lecture , 1999 .

[17]  William W. Liou,et al.  Implicit Boundary Conditions for Direct Simulation Monte Carlo Method in MEMS Flow Predictions , 2000 .

[18]  Alejandro L. Garcia,et al.  Statistical error in particle simulations of hydrodynamic phenomena , 2002, cond-mat/0207430.

[19]  Moran Wang,et al.  Simulations for gas flows in microgeometries using the direct simulation Monte Carlo method , 2004 .

[20]  William W. Liou,et al.  Microfluid Mechanics: Principles and Modeling , 2005 .

[21]  L. M. Socio,et al.  Gas flow in a permeable medium , 2006, Journal of Fluid Mechanics.

[22]  Toshihiko Shimamoto,et al.  Klinkenberg effect for gas permeability and its comparison to water permeability for porous sedimentary rocks , 2006 .

[23]  Iain D. Boyd,et al.  Gas flows in microchannels and microtubes , 2007, Journal of Fluid Mechanics.

[24]  G. A. Bird,et al.  A Comparison of Collision Energy‐based and Temperature‐based Procedures in DSMC , 2009 .

[25]  Martin J Blunt,et al.  Pore-network extraction from micro-computerized-tomography images. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Masoud Darbandi,et al.  Direct Simulation Monte Carlo Solution of Subsonic Flow Through Micro/Nanoscale Channels , 2009 .

[27]  I. Boyd,et al.  Chemistry model for ablating carbon-phenolic material during atmospheric re-entry , 2010 .

[28]  Thomas Scanlon,et al.  An open source, parallel DSMC code for rarefied gas flows in arbitrary geometries , 2010 .

[29]  Nagi N. Mansour,et al.  Multiscale Approach to Ablation Modeling of Phenolic Impregnated Carbon Ablators , 2010 .

[30]  Graeme A. Bird,et al.  Chemical Reactions in DSMC , 2011 .

[31]  S. Yonemura,et al.  A numerical study for transport phenomena of nanoscale gas flow in porous media , 2012 .

[32]  I. Boyd,et al.  Modeling ablation of charring heat shield materials for non-continuum hypersonic flow , 2012 .

[33]  Jennifer Wilcox,et al.  Molecular modeling of carbon dioxide transport and storage in porous carbon-based materials , 2012 .

[34]  V. K. Michalis,et al.  Mesoscopic Simulation of Rarefied Flow in Narrow Channels and Porous Media , 2012, Transport in Porous Media.

[35]  Thomas Scanlon,et al.  A DSMC Investigation of Gas Flows in Micro-Channels With Bends , 2013 .

[36]  Haoyue Weng,et al.  Multidimensional Modeling of Pyrolysis Gas Transport Inside Charring Ablative Materials , 2014 .