THE CALCULATIONS OF STEEL FLAT BRIQUETTES MELTING IN LIQUID BATH OF A STEELMAKING UNIT. Report 1. Mathematical formulation of the problem and its analytical solution
https://doi.org/10.17073/0368-0797-2015-6-455-459
Abstract
A mathematical model of heating and melting sequences of thermo-massive slabs (fl at steel briquettes) with variable thermal and physical properties (TPP) at boundary conditions of genus III, was formulated. Setting the genus III boundary conditions allows to analyze the impact of the external heat exchange coefficients of briquette melting processes.The calculation technique for solving the stated problem is the equivalent sources method (MES) as applied to a thermal layer scheme. Predictive expressions for slab through-heating (thermal lag stage), heating (ordered stage) time and at the time of melting, were derived. A comparison of solutions was obtained with the MES method and numerical realization of heating and melting the slab with a satisfactory convergence. It was proofed that the obtained mathematical relations may be used in steelmaking practices to perform calculations for lump materials melting in thermal engineering (e.g., when using briquettes in arc-furnaces).
About the Authors
Yu. S. Postol’nikUkraine
Dr. Sci. (Eng.), Professor
V. I. Timoshpol’skii
“NEFTEGAZSTROIIZOLYATSIYA” CJSC PII SIT
Ukraine
Dr. Sci. (Eng.), Professor, Director of science and new equipment
Ukraine
Dr. Sci. (Eng.), Professor, Director of science and new equipment
References
1. Glinkov M.A. Martenovskaya pech’ kak teplotekhnicheskii agregat [Open-hearth furnace as a thermal unit]. Moscow – Sverdlovsk: Metallurgizdat, 1944. 167 p. (In Russ.).
2. Baum V.A., Budrin D.V. etc. Metallurgicheskie pechi. Uchebnik dlya metallurgicheskikh vuzov [Metallurgical furnaces. Textbook for metallurgical universities]. Glinkov M.A. ed. Moscow: GNTIL po chernoi i tsvetnoi metallurgii, 1951. 975 p. (In Russ.).
3. Brovkin L.A. The calculation of melting of simple bodies. Izvestiya vuzov. Energetika. 1958, no. 2, pp. 79–86. (In Russ.).
4. Gol’dfarb E.M. Dynamics of charge melting in melting furnaces. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 1960, no.11, pp. 156–166. (In Russ.).
5. Nevskii A.S. Differentsial’nye uravneniya protsessa plavleniya shikhty so stekaniem i namerzaniem rasplava [Differential equations of charge melting process with trickling and freezing of the melt]. In: Sb. nauch. tr. VNIIMT. Moscow: Metallurgizdat. 1963, no. 3, pp. 150–157. (In Russ.).
6. Gol’dfarb E.M. Teplotekhnika metallurgicheskikh protsessov [Heat engineering of metallurgical processes]. Moscow: Metallurgiya, 1967. 439 p. (In Russ.).
7. Svinolobov N.P., Semikin I.D. Dynamics of melting. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 1963, no. 1, pp. 185–194. (In Russ.).
8. Postol’nik Yu.S. Raschet dinamiki plavleniya tel razlichnoi formy [Calculation of the dynamics of melting of bodies of various shapes]. In: Teploi massoobmen v vannakh staleplavil’nykh agregatov: Sb. nauch. tr. MISiS [Heat and mass transfer in the baths of steelmaking units: Collection of scientific papers of MISIS]. Moscow: Metallurgiya. 1979, no. 120, pp. 59–62. (In Russ.).
9. Timoshpol’skii V.I., Trusova I.A., Steblov A.B., Pavlyuchenkov I.A. Teploobmen i teplovye rezhimy v promyshlennykh pechakh [Heat transfer and thermal modes in industrial furnaces]. Timoshpol’skii V.I. ed. Minsk: Vyssh. shkola, 1992. 218 p. (In Russ.).
10. Timoshpol’skii V.I., Postol’nik Yu.S., Andrianov D.N. Teoreticheskie osnovy teplofiziki i termomekhaniki v metallurgii [Theoretical foundations of thermal physics and thermal mechanics in metallurgy]. Minsk: Bel. nauka. 2005. 560 p. (In Russ.)
11. Volkov V.N., Rybakov G.N., Smirnov G.M. Ob odnom prostom metode rascheta dinamiki plavleniya neogranichennoi plastiny [A simple calculating method for the dynamics of infinite plate melting]. In: Sb. Issledovaniya po teploprovodnosti [Studies on the thermal conductivity]. Minsk: Nauka i tekhnika. 1967, pp. 293–297. (In Russ.).
Review
For citations:
Postol’nik Yu.S., Timoshpol’skii V.I. THE CALCULATIONS OF STEEL FLAT BRIQUETTES MELTING IN LIQUID BATH OF A STEELMAKING UNIT. Report 1. Mathematical formulation of the problem and its analytical solution. Izvestiya. Ferrous Metallurgy. 2015;58(6):455-459. (In Russ.) https://doi.org/10.17073/0368-0797-2015-6-455-459
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