Gravity Induced Separation in “Liquid Flames”

References

• Bachelis , R. D. and Melamed , V. G. ( 1966 ). Concerning the nonuniqucness of the stationary solutions of the system of equations of combustion theory when the rate constant and the coefficients of thermal conduction and diffusion are piecewise constant. Soviet Physics Doktady , 10 , 730 .
   Google Scholar
• Frank-Kamenetskii , D. A. ( 1969 ). Diffusion and Heat Transfer in Chemical Kinetics. , Plenum Press, New York , 1969.
   Google Scholar
• Ivleva , T. P. and Shkadinsky , K. G. ( 1979 ). Algorithms of nonregular net construction adapting for solutions. Inf. Bull. Gosfonda Algoritmov i Program USSR , 1 , 18 (in Russian).
   Google Scholar
• Ivleva , T. P. , Merzhanov , A. G. and Shkadinsky , K. G. ( 1981 ). New type of nonunique steady-state conditions in the propagation of combustion waves. Doklady Phys. Chemistry , 256 , pp. 897 – 900 .
   Google Scholar
• Kapila , A. K. and Matkowsky , B. J. (1979). Reactive-diffusive systems with Arrhenius kinetics: multiple solutions, ignition and extinction, SI AM J. Appl. Math. , 36, 373.
   Google Scholar
• Kapila , A. K. , Matkowsky , B. J. and Vega , J. ( 1980 ). Reactive-diffusive systems with Arrhenius kinetics: peculiarities of the spherical geometry , SI AM J. Appl. Math. , 38 , 382 .
   Web of Science ®Google Scholar
• Kapila , A. K. and Matkowsky , B. J. ( 1980 ). Reactive-diffusive systems with Arrhenius kinetics: The Robin problem SIAM J. Appl. Math. , 39 , 391 .
   Google Scholar
• Khaikin , B. I. and Khudyaev , S. I. ( 1979 ). Nonuniqueness of combustion temperature and rate when competing reactions take place. Doklady Physical Chemistry , 245 , 225 .
   Google Scholar
• Lax , P. D. ( 1973 ). Hyperbolic systems of conservations laws and the mathematical theory of shock waves. SIAM , Philadelphia , PA .
   Google Scholar
• Lee , J. H. S. and Goroshin , S. ( 1994 ) SHS processing of ZnS in microgravity, Proc. Third IUMS Int'l. Conf. on Adv. Materials , Eds. Masumoto, T., Doyama , M. , Kuribayashi , K. and Kishi , T. , 653 – 658 .
   Google Scholar
• Merzhanov , A. G. ( 1990 ) Self-propagating high-temperature synthesis: twenty years of search and findings , in Munir, Z.A. and Holt , J.B. (Eds.) Combustion and Plasma Synthesis of High-Temperature Materials, VCH , 1 – 53 .
   Google Scholar
• Merzhanov , A. G. and Yukhvid , V. I. ( 1990 ). Self-propagating high-temperature synthesis in the field of centrifugal forces. pp. 1 – 21 in Proceedings of the First US-Japanese Workshop on Combustion Synthesis , Nat'l. Res. Inst, for Metals, Tokyo .
   Google Scholar
• Merzhanov , A. G. ( 1995 ). Fluid dynamics phenomena in the processes of self-propagating high- temperature synthesis. Comb. Sci. Tech. , 105 , 295 – 325 .
   Web of Science ®Google Scholar
• Novozhilov , B. V. ( 1961 ). The rate of propagation of the front of an exothermic reaction in a condensed phase. Proc. Academy Sci. USSR. Phys. Chem. Sect. , 141 , 836 .
   Google Scholar
• Shkadinsky , K. G. ( 1966 ). Method of averaging for numerical solution of one dimensional problems of gasdynamics. pp. 200 – 206 in Numerical Methods of Solution of Problems of Mathematical Physics, Moscow , "Nauka". (in Russian).
   Google Scholar
• Shteinberg , A. S. , Shcherbakov , V. A. , Martynov , V. V , Mukhoyan , M. Z. and Merzhanov , A. G. ( 1991 ). Self-propagating high-temperature sythesis high-porosity materials under weightlessness, Sov. Phys. Doklady , 36 , 385 .
   Google Scholar
• Zeldovich , Ya. B. and Frank-Kamenetskii , D. A. ( 1938 ), A theory of thermal flame propagation. Zhurnal Fiz. Khim. , 12 , 100 .
   Google Scholar