Numerical simulation model by volume averaging for the dissolution process of GaSb into InSb in a sandwich system

References

• P. S. Dutta, H. L. Bhat, and V. Kumar, The Physics and Technology of Gallium Antimonide: An Emerging Optoelectronic Material, J. Appl. Phys., vol. 81, pp. 5821–5870, 1997.
   Web of Science ®Google Scholar
• B. W. Webb and R. Viskanta, Analysis of Heat Transfer During Melting of a Pure Metal from an Isothermal Vertical Wall, Numer. Heat Transfer, vol. 9, pp. 539–558, 1986.
   Web of Science ®Google Scholar
• Z.-C. Hong and J.-H. Liou, Predicting Natural-Convection-Dominated Phase Change Problems by Control Volume Unstructured Triangular Grid: Applications to the Melting of Pure Metal, Numer. Heat Transfer Part A Appl., vol. 33, pp. 299–314, 1998.
   Web of Science ®Google Scholar
• V. R. Voller and C. Prakash, A Fixed Grid Numerical Modelling Methodology for Convection-Diffusion Mushy Region Phase-Change Problems, Int. J. Heat Mass Transfer, vol. 30, pp. 1709–1719, 1987.
   Web of Science ®Google Scholar
• C. Beckermann and R. Viskanta, Double-Diffusive Convection during Dendritic Solidification of a Binary Mixture, Physicochem. Hydrodyn., vol. 10, pp. 195–213, 1988.
   Google Scholar
• V. R. Voller, A. D. Brent, and C. Prakash, The Modelling of Heat, Mass and Solute Transport in Solidification Systems, Int. J. Heat Mass Transfer, vol. 32, pp. 1719–1731, 1989.
   Web of Science ®Google Scholar
• W. D. Bennon and F. P. Incropera, A Continuum Model for Momentum, Heat and Species Transport in Binary Solid-Liquid Phase Change Systems-I. Model Formulation, Int. J. Heat Mass Transfer, vol. 30, pp. 2161–2170, 1987.
   Web of Science ®Google Scholar
• Y. Inatomi, K. Sakata, M. Arivanandhan, G. Rajesh, Y. Hayakawa, A. Tanaka, T. Ozawa, Y. Okano, T. Ishikawa, M. Takayanagi, S. Yoda, and Y. Yoshimura, Current Status of Alloy Semiconductor Crystal Growth Project under Microgravity, Trans. JSASS Aerospace Tech. Japan, vol. 10, pp. Th_1–Th_4, 2012.
   Google Scholar
• Y. Inatomi, K. Sakata, M. Arivanandhan, G. Rajesh, V. N. Kumar, T. Koyama, Y. Momose, T. Ozawa, Y. Okano, and Y. Hayakawa, Growth of InxGa1-xSb Alloy Semiconductor at the International Space Station (ISS) and Comparison with Terrestrial Experiments, npj Microgravity, vol. 1, pp. 15011, 2015.
   Google Scholar
• K. Okitsu, Y. Hayakawa, A. Hirata, S. Fujiwara, Y. Okano, N. Imaishi, S. Yoda, T. Oida, T. Yamaguchi, and M. Kumagawa, Gravitational Effects on Mixing and Growth Morphology of an In0.5Ga0.5Sb System, Cryst. Res. Technol., vol. 31, pp. 969–978, 1996.
   Web of Science ®Google Scholar
• K. Okitsu, Y. Hayakawa, T. Yamaguchi, A. Hirata, S. Fujiwara, Y. Okano, N. Imaishi, S. Yoda, T. Oida, and M. Kumagawa, Melt Mixing of the 0.3In/0.7GaSb/0.3Sb Solid Combination by Diffusion under Microgravity, Jpn. J. Appl. Phys., vol. 36, pp. 3613–3619, 1997.
   Web of Science ®Google Scholar
• Y. Hayakawa, Y. Okano, A. Hirata, N. Imaishi, Y. Kumagiri, X. Zhong, X. Xie, B. Yuan, F. Wu, H. Liu, T. Yamaguchi, and M. Kumagawa, Experimental and Numerical Investigations on Dissolution and Recrystallization Processes of GaSb/InSb/GaSb under Microgravity and Terrestrial Conditions, J. Cryst. Growth, vol. 213, pp. 40–50, 2000.
   Web of Science ®Google Scholar
• N. Murakami, K. Arafune, T. Koyama, M. Kumagawa, and Y. Hayakawa, Measurement of Growth Rate by Thermal Pulse Technique and Growth of Homogeneous InxGa1-xSb Bulk Crystals, J. Cryst. Growth, vol. 275, pp. 433–439, 2005.
   Web of Science ®Google Scholar
• Y. Hayakawa, T. Hikida, H. Morii, A. Konno, C.-H. Chen, K. Arafune, H. Kawai, T. Koyama, Y. Momose, T. Ozawa, and T. Aoki, In Situ Observation of Composition Profiles in the Solution by X-ray Penetration Method, J. Cryst. Growth, vol. 310, pp. 1487–1492, 2008.
   Web of Science ®Google Scholar
• G. Rajesh, M. Arivanandhan, H. Morii, T. Aoki, T. Koyama, Y. Momose, A. Tanaka, T. Ozawa, Y. Inatomi, and Y. Hayakawa, In-Situ Observations of Dissolution Process of GaSb into InSb Melt by X-ray Penetration Method, J. Cryst. Growth, vol. 312, pp. 2677–2682, 2010.
   Web of Science ®Google Scholar
• G. Rajesh, M. Arivanandhan, N. Suzuki, A. Tanaka, H. Morii, T. Aoki, T. Koyama, Y. Momose, T. Ozawa, Y. Inatomi, Y. Takagi, Y. Okano, and Y. Hayakawa, Effects of Solutal Convection on the Dissolution of GaSb into InSb Melt and Solute Transport Mechanism in InGaSb Solution: Numerical Simulations and In-Situ Observation Experiments, J. Cryst. Growth, vol. 324, pp. 157–162, 2011.
   Web of Science ®Google Scholar
• K. Sakata, M. Mukai, M. Arivanandhan, G. Rajesh, T. Ishikawa, Y. Inatomi, and Y. Hayakawa, Crystal Growth of Ternary Alloy Semiconductor and Preliminary Study for Microgravity Experiment at the International Space Station, Trans. JSASS Aerospace Tech. Japan, vol. 12, pp. Ph_31–Ph_35, 2014.
   Google Scholar
• Y. Takagi, N. Suzuki, Y. Okano, A. Tanaka, Y. Hayakawa, and S. Dost, Numerical Simulation of the Dissolution Process of GaSb into InSb Melt under Normal and Microgravity Conditions, Trans. JSASS Aerospace Tech. Japan, vol. 10, pp. Ph_1–Ph_7, 2012.
   Google Scholar
• M. Nobeoka, Y. Takagi, Y. Okano, Y. Hayakawa, and S. Dost, Numerical Simulation of InGaSb Crystal Growth by Temperature Gradient Method under Normal- and Micro-Gravity Fields, J. Cryst. Growth, vol. 385, pp. 66–71, 2014.
   Web of Science ®Google Scholar
• H. Mirsandi, T. Yamamoto, Y. Takagi, Y. Okano, Y. Inatomi, Y. Hayakawa, and S. Dost, A Numerical Study on the Growth Process of InGaSb Crystals under Microgravity with Interfacial Kinetics, Microgravity Sci. Technol., vol. 27, pp. 313–320, 2015.
   Web of Science ®Google Scholar
• D. A. Kaminski and C. Prakash, Conjugate Natural Convection in a Square Enclosure: Effect of Conduction in One of the Vertical Walls, Int. J. Heat Mass Transfer, vol. 29, pp. 1979–1988, 1986.
   Web of Science ®Google Scholar
• M. Bellet, H. Combeau, Y. Fautrelle, D. Gobin, M. Rady, E. Arquis, O. Budenkova, B. Dussoubs, Y. Duterrail, A. Kumar, C. A. Gandin, B. Goyeau, S. Mosbah, and M. Založnik, Call for Contributions to a Numerical Benchmark Problem for 2D Columnar Solidification of Binary Alloys, Int. J. Therm. Sci., vol. 48, pp. 2013–2016, 2009.
   Web of Science ®Google Scholar
• H. Combeau, M. Bellet, Y. Fautrelle, D. Gobin, E. Arquis, O. Budenkova, B. Dussoubs, Y. D. Terrail, A. Kumar, C. A. Gandin, B. Goyeau, S. Mosbah, T. Quatravaux, M. Rady, and M. Založnik, Analysis of a Numerical Benchmark for Columnar Solidification of Binary Alloys, IOP Conf. Ser. Mater. Sci. Eng., vol. 33, 012086, 2012.
   Google Scholar
• C. J. Vreeman and F. P. Incropera, Numerical Discretization of Species Equation Source Terms in Binary Mixture Models of Solidification and Their Impact on Macrosegregation in Semicontinuous, Direct Chill Casting Systems, Numer. Heat Transfer Part B Fundam., vol. 36, pp. 1–14, 1999.
   Web of Science ®Google Scholar
• C. Prakash and V. R. Voller, On the Numerical Solution of Continuum Mixture Model Equations Describing Binary Solid-Liquid Phase Change, Numer. Heat Transfer Part B Fundam., vol. 15, pp. 171–189, 1989.
   Web of Science ®Google Scholar
• V. R. Voller, A. Mouchmov, and M. Cross, An Explicit Scheme for Coupling Temperature and Concentration Fields in Solidification Models, Appl. Math. Model., vol. 28, pp. 79–94, 2004.
   Web of Science ®Google Scholar
• A. Jafari, S. H. Seyedein, and M. R. Aboutalebi, Semi-Implicit Method for Thermodynamically Linked Equations in Phase Change Problems (SIMTLE), Appl. Math. Model., vol. 35, pp. 4774–4789, 2011.
   Web of Science ®Google Scholar
• R. I. Issa, Solution of the Implicitly Discretised Fluid Flow Equations by Operator-Splitting, J. Comput. Phys., vol. 62, pp. 40–65, 1986.
   Web of Science ®Google Scholar
• Open source CFD toolbox, OpenFOAM, http://www.openfoam.com/ (cited 8 Feb 2016).
   Google Scholar