Abstract
The effect of the surface tension–viscosity dissipation driving liquid Ti flow into a B4C packed bed was analyzed at 1941 K and 2573 K. The model consisted of randomized size distributions of pores (1 to 10 µm) mimicking a packed bed to determine the depth of infusion. Statistical uncertainty was determined as a function of viscosity and pore geometry. The computations were performed with our in-house software, which incorporates a directed acyclic graph and modified nodal analysis algorithms.
References
V. Kumar, C.K. Harris, A. Bronson, S. Shantha-Kumar, and A. Medina: Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science, 2016, vol. 47, pp. 108–15.
K.A. Semlak and F.N. Rhines: Trans. TMS-AIME, 1958, vol. 212, pp. 325–31.
A. Mortensen and I. Jin: International Materials Reviews, 1992, vol. 37, pp. 101–28.
C. Garcia-Cordovilla, E. Louis, and J. Narciso: Acta Materialia, 1999, vol. 47, pp. 4461–79.
J.M. Molina, E. Piñero, J. Narciso, C. García-Cordovilla, and E. Louis: Current Opinion in Solid State and Materials Science, 2005, vol. 9, pp. 202–10.
M.J. Blunt: Curr. Opin. Colloid Interface Sci., 2001, vol. 6, pp. 197–207, https://doi.org/10.1016/S1359-0294(01)00084-X.
M. Christie, V. Demyanov, and D. Erbas: J. Comput. Phys., 2006, vol. 217, pp. 143–58, https://doi.org/10.1016/j.jcp.2006.01.026.
A.L. Maximenko and E.A. Olevsky: Scripta Materialia, 2018, vol. 149, pp. 75–78.
S. Bakke and P.E. Øren: Spe Journal, 1997, vol. 2, pp. 136–49.
Y. Zhu, P.J. Fox, and J.P. Morris: International journal for numerical and analytical methods in geomechanics, 1999, vol. 23, pp. 881–904.
J. Shalf, S. Dosanjh, and J. Morrison: in High Performance Computing for Computational Science—VECPAR 2010, J.M.L.M. Palma, M. Daydé, O. Marques, and J.C. Lopes, eds., Springer, Berlin, Heidelberg, 2011, pp. 1–25, https://doi.org/10.1007/978-3-642-19328-6_1.
K. Bergman, S. Borkar, D. Campbell, W. Carlson, W. Dally, M. Denneau, P. Franzon, W. Harrod, K. Hill, and J. Hiller: Exascale Computing Study: Technology Challenges in Achieving Exascale Systems, 2008.
M.A. Heroux, E.T. Phipps, A.G. Salinger, H.K. Thornquist, R.S. Tuminaro, J.M. Willenbring, A. Williams, K.S. Stanley, R.A. Bartlett, V.E. Howle, R.J. Hoekstra, J.J. Hu, T.G. Kolda, R.B. Lehoucq, K.R. Long, and R.P. Pawlowski: ACM Trans. Math. Softw., 2005, vol. 3, p. 31.
H. Carter Edwards, C.R. Trott, and D. Sunderland: J. Parallel Distrib. Comput., 2014, vol. 74, pp. 3202–16.
B.M. Adams, W.J. Bohnhoff, K.R. Dalbey, J.P. Eddy, M.S. Eldred, D.M. Gay, K. Haskell, P.D. Hough, and L.P. Swiler: Sandia National Laboratories, Tech. Rep. SAND2010-2183.
E. Akhmatskaya, B.D. Todd, P.J. Daivis, D.J. Evans, K.E. Gubbins, and L.A. Pozhar: The Journal of Chemical Physics, 1997, vol. 106, pp. 4684–95.
P. Van Marcke, B. Verleye, J. Carmeliet, D. Roose, and R. Swennen: Transport in Porous Media, 2010, vol. 85, pp. 451–76.
P.C. Reeves and M.A. Celia: Water Resources Research, 1996, vol. 32, pp. 2345–58.
Y. Bernabé, M. Li, and A. Maineult (2010) J. Geophys. Res. https://doi.org/10.1029/2010jb007444.
E.O. Einset: Chemical Engineering Science, 1998, vol. 53, pp. 1027–39.
B.A. Latella, L. Henkel, and E.G. Mehrtens: Journal of Materials Science, 2006, vol. 41, pp. 423–30.
V. Joekar-Niasar and S.M. Hassanizadeh: Critical Reviews in Environmental Science and Technology, 2012, vol. 42, pp. 1895–1976.
P.M. Delgado, V.M.K. Kotteda, and V. Kumar: Geosciences, 2019, vol. 9, p. 29.
J.L. Gross and J. Yellen: Handbook of Graph Theory, CRC press, Boca Raton, 2004.
A.K. Chattopadhyay: “Next Generation Exa-Scale Capable Software for High Fidelity Physics, vol. AAI10635776, ETD Collection for University of Texas, El Paso, 2017.
S. Shantha-Kumar: Reaction of Liquid Aluminium-Samarium Alloys with B4C at Ultra High Temperatures, vol. AAI10635776, ETD Collection for University of Texas, El Paso, 2015.
J. Jakeman, M. Eldred, and D. Xiu: Journal of Computational Physics, 2010, vol. 229, pp. 4648–63.
B.M. Adams, M.S. Ebeida, M.S. Eldred, J.D. Jakeman, L.P. Swiler, J.A. Stephens, D.M. Vigil, T.M. Wildey, W.J. Bohnhoff, and J.P. Eddy: Dakota, a Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis Version 6.0 Theory Manual, Sandia National Lab.(SNL-NM), Albuquerque, NM (United States), 2014.
T. Ishikawa, P.-F. Paradis, J.T. Okada, and Y. Watanabe: Meas. Sci. Technol., 2012, vol. 23, art. id 025305, https://doi.org/10.1088/0957-0233/23/2/025305.
J.M. Molina, J. Narciso, and E. Louis: Scr. Mater., 2010, vol. 62, pp. 961–65.
B. Gallois and C.H.P. Lupis: Metallurgical Transactions B, 1981, vol. 12B, pp. 549–57.
R.E. Loehman, K. Ewsuk, and A.P. Tomsia: Journal of the American Ceramic Society, 1996, vol. 79, pp. 27–32.
This work was supported by the U.S. Department of Energy (DOE) National Energy Technology Laboratory (DE – FE_0026220, DE-FE0002407), Air Force Office of Scientific Research (BAA-AFRL-AFOSR-2016-0007, FA9550-12-1-0242, and FA9550-17-1-0393), XSEDE computational resources (TG-ASC170041), Sandia National Laboratories, and Computational Science and Mechanical Engineering programs at the University of Texas at El Paso.
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Manuscript submitted November 4, 2018.
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Kotteda, V.M.K., Schiaffino, A., Chattopadhyay, A. et al. Sensitivity of Viscosity on Molten Ti Infusion into a B4C-Packed Bed at the Microscale. Metall Mater Trans B 50, 1559–1565 (2019). https://doi.org/10.1007/s11663-019-01618-9
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DOI: https://doi.org/10.1007/s11663-019-01618-9