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A BSTRACT

G overning equation. E nthalpy. I C:. L iquid fraction in solid, mushy and liquid zones. ANALYSIS OF SOLIDIFICATION OF A SEMITRANSPARENT PLANAR LAYER USING THE LATTICE BOLTZMANN METHOD AND THE DISCRETE TRANSFER METHOD. HMT-2006-C075.

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A BSTRACT

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  1. Governing equation Enthalpy IC: Liquidfraction in solid, mushy and liquid zones ANALYSIS OF SOLIDIFICATION OF A SEMITRANSPARENT PLANAR LAYER USING THE LATTICE BOLTZMANN METHOD AND THE DISCRETE TRANSFER METHOD HMT-2006-C075 Rishi Raj, Amit Prasad, PRITISH RANJAN PARIDA and Subhash C. Mishra Department of Mechanical Engineering Indian Institute of Technology Guwahati Guwahati – 781039, INDIA FORMULATION ABSTRACT Solidification of a semitransparent material is analysed using the LBM. DTM is used to compute the radiative information. Solidification occurs at a range of temperatures. Presence of a mushy-zone is considered. Formulation is first validated by solving solidification of a radiatively opaque planar material. Next, effects of various optical parameters and latent heat on temperature distribution in three zones and location of the mushy-zone are studied. They are found to have significant bearing on the results. 1-D planarsemitransparent material with constant optical properties with different thermo-physical properties for the solid-, mushy- and liquid- zones, subjected to following conditions: BCs: Geometry considered SAMPLE Radiative information Using the discrete transfer method Incident radiation Energy equation in the LBM formulation RESULTS a b a b Comparison of the LBM solution with the analytic solution Variation of (a) non-dimensional temperature and (b) liquid fraction a different instants of time; β=1.0, ω=0.0, N=1.0 Variation of (a) non-dimensional temperature and (b) liquid fraction for different values of the extinction coefficient at time t = 10.0 sec; ω=0.0, N=0.1 CONCLUSIONS LBM was used to analyze solidification of a semitransparent planar medium. The radiative information was computed using the DTM. Effects of various parameters on temperature distribution, liquid fraction and front location were studied. Effect of radiative parameters was found to be significant in all the cases. Linearity in temperature profile and a faster movement of the front was observed for the lower values of the extinction coefficient β, higher values of the scattering albedo ω, lower values of the latent heat L and the higher values of the conduction-radiation parameter N. For all sets of parameters studied, the thickness of the mushy-zone was found to increase with time. It was thicker for the cases in which radiation was less dominant a b Variation of (a) non-dimensional temperature and (b) liquid fraction for different values of the latent heat L for N = 0.01 at time t = 10.0 sec; β=0.1, ω=0.0.

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