Perturbation Analysis of Glassy Alloy Film Formation
The IUP Journal of Mechanical Engineering, Vol. XII, No. 1, February 2019, pp. 48-60
Posted: 23 Jul 2019
Date Written: 2019
A coupled set of equations describing heat and mass transfer during phase transformation is formulated incorporating surface convective effects. These equations, which are nonlinear due to the moving interface, are linearized and decoupled. The effects of the Biot, Fourier and Stefan numbers are analyzed through small parameter expansions. Solutions obtained via this artifice allow closer examination of surface effects on the boundary layer of the phase transformation. A relation is found on the effect of the glass transition temperature versus the boundary layer thickness for several alloys in various groups of the periodic table. Earlier work is analyzed in the light of the present analysis.
Keywords: Stefan numbers, Heat, Mass diffusion, Transient states, Quasi steady state analysis
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