In a thin-slab, continuous casting process, molten
Chapter 5, Problem 5.123(choose chapter or problem)
In a thin-slab, continuous casting process, molten steelleaves a mold with a thin solid shell, and the moltenmaterial solidifies as the slab is quenched by water jetsen route to a section of rollers. Once fully solidified,the slab continues to cool as it is brought to an accept-able handling temperature. It is this portion of theprocess that is of interest. Consider a 200-mm-thick solid slab of steel(??7800 kg/m3, c?700 J/kg?K, k?30 W/m?K),initially at a uniform temperature of Ti?1400C. The slab is cooled at its top and bottom surfaces by water jets(T??50C), which maintain an approximately uniformconvection coefficient of h?5000 W/m2?K at both sur-faces. Using a finite-difference solution with a spaceincrement of ?x?1 mm, determine the time required tocool the surface of the slab to 200C. What is the corre-sponding temperature at the midplane of the slab? If theslab moves at a speed of V?15 mm/s, what is therequired length of the cooling section?
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