Modelling of free boundary problems for phase change with diffuse interfaces.
Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Andrews, K.T., Guessous, L., Nassar, S., Putta, S.V., Shillor, M. (2006)
Journal of Applied Mathematics
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Kulasiri, Don, Woodhead, Ian (2005)
Mathematical Problems in Engineering
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Daniela Mansutti, Edoardo Bucchignani (2011)
Applications of Mathematics
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We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid...
Iliev, Iliycho Petkov, Gocheva-Ilieva, Snezhana Georgieva, Temelkov, Krassimir Angelov, Vuchkov, Nikolay Kirilov, Sabotinov, Nikola Vassilev (2009)
Mathematical Problems in Engineering
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Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Weir, Graham J. (2001)
Journal of Applied Mathematics and Decision Sciences
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Antic, Alexsandar, Hill, James M. (2003)
Journal of Applied Mathematics and Decision Sciences
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Gregory I. Sivashinsky (2007)
RACSAM
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The effects of hydraulic resistance on premixed gas combustion in tubes and inert porous beds are discussed on the basis of recent research. It is found that the hydraulic resistance causes a gradual precompression and preheating of the unburned gas adjacent to the advancing deflagration which may lead (after an extended induction period) to a localized thermal explosion triggering an abrupt transition from deglagrative to detonative combustion. The hydraulic resistance has a profound...