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Estimate the temperature gradient to be maintained within solid aluminum so that the planar solidification front moves into liquid aluminum maintained at its melting point

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Estimate the temperature gradient to be maintained within solid aluminum so that the planar solidification front moves into liquid aluminum maintained at its melting point at a velocity of 0.5mm/s. For Al: Thermal conductivity =225W/mK, latent heat of fusion =398kJ/kg, density =2700kg/m3,Tmelting=660.4C

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