Mixture Theory of Mass Transfer Based upon Microstructure

  • Robert L Brown Montana State Universes-Bozeman, Bozeman .
  • Michael Q Edens Montana State Universes-Bozeman, Bozeman .
  • Michael Barber Montana State University-Havre, Havre,
Keywords: Metamorphism, Intergranular neck geometry, Equitemperature metamorphism


A mixture theory has been developed to model equitemperature metamorphism of snow. This formulation is a volume fraction theory which models the inter change of mass between the constitueats making up the mixture. The formulation has been developed so that the microstructure of the materialis included to correctly describe the mechanical and thermal processes. The second law of thermo dynamics is used to impose restrictions upon the various constitutive relations. These constitutive relationsare then described in terms of microstructure of the material. The micsostructure of each constituentis represented by constituent size (mean grain size, intergranular bond size), intergranular neckgeometry, specific free surface area and dispersed density. The resulting formulation is then used to model equitemperature metamorphism of snow by determining the time-dependent changes in thedistribution of grain size, neck size and dispersed densities of each of the constituents. The resultsobtained show that the formulation can describe how the material changes under equitemperatureconditions. However, it is noted that since microstructure significantly affects the rate of metamorphism,an accurate determination of the microstructure (including grain and neck size distribution) is necessary for this approach to accurately predict changes in the material due to metamorphism.

Author Biographies

Robert L Brown, Montana State Universes-Bozeman, Bozeman .
Mr Robert L Brown obtained his pHD (Theoretical & Applied Mechanics )from University of Illinois in 1969. He joined the Civil Engineering Department at the Montana State University in 1969. His research areas include : avalance mechanics, blowing and drifting snow , ice mechanics and the theory of mixtures. He has published approximately 200 papers in national and international jouernals .
Michael Q Edens, Montana State Universes-Bozeman, Bozeman .
Mr Michael Q Edens obtanied his phd (Applied Mechanics) from Montana State University - Bozeman in 1997 , Presently he is conducting post-doctoral research in ice-physics and composite materials at the Montana State Universite , Bozeman.
Michael Barber, Montana State University-Havre, Havre,
Mr Michael Barber obtained his phD ( Civil Engineering) from the Montana State University in 1997. Presently , he is Chief Information Officer at the Montana State University Billings. His research areas include: theoretical and computational application of theories of maxtures of snow, water and biologocal applications .


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How to Cite
Brown, R., Edens, M., & Barber, M. (2013). Mixture Theory of Mass Transfer Based upon Microstructure. Defence Science Journal, 49(5), 393-409. https://doi.org/10.14429/dsj.49.3854
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