2000
DOI: 10.1007/s11663-000-0131-y
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Physical and mathematical models of steel flow and heat transfer in a tundish heated by plasma

Abstract: Temperature control of liquid steel by plasma heating is physically and mathematically modeled. A dimensionless plasma heating number is employed for scaling up of heating operations between a steam jet for water model and a plasma prototype. Overall responses of step-input temperatures in steel are fairly well predicted by the physical model. Fluid-flow structure and thermal fields, in terms of dimensionless temperatures, of steel are different from those of water. Two positions of plasma in a tundish were st… Show more

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Cited by 33 publications
(21 citation statements)
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“…For the non-isothermal conditions of steel flow through the tundish, the magnitudes of heat fluxes on particular tundish walls and bottom have been determined to be -2600 W/m 2 , whereas on the regulator walls -1750 W/m 2 . The losses on the free metal table surface are -15000 W/m 2 [9][10][11][12][13][14][15][16][17]. The wall condition with zero tangential stress was assumed on the free steel table surface.…”
Section: Testing Methodologymentioning
confidence: 99%
“…For the non-isothermal conditions of steel flow through the tundish, the magnitudes of heat fluxes on particular tundish walls and bottom have been determined to be -2600 W/m 2 , whereas on the regulator walls -1750 W/m 2 . The losses on the free metal table surface are -15000 W/m 2 [9][10][11][12][13][14][15][16][17]. The wall condition with zero tangential stress was assumed on the free steel table surface.…”
Section: Testing Methodologymentioning
confidence: 99%
“…In non-isothermal computation, Bussinesq's model was employed, which is described by equation (7) 16,17,[29][30][31][32][33][34][35] For the description of the turbulence of steel flow through the tundish, the k-e turbulence model was adopted, whose semiempirical constants take on the following values: C 1 5 1?44, C 2 51?92, s k 51?0 and s e 51?3. The turbulence model included buoyancy effects on the generation of k and e in the solving flow field using the generation G B .…”
Section: Testing Methodologymentioning
confidence: 99%
“…The dead fraction volume is then calculated through [3] The volume fraction with plug flow is estimated as [4] The volume fraction with mixed flow is the complement to one: [5] The results are presented in Table I. As seen in this table, the plug volume fraction without gas bubbling is very high, just as was originally planned, due to the influence of the inhibitor.…”
Section: A Time Distribution Curvesmentioning
confidence: 99%
“…Barreto et al [3,4] provided information of fluid flow in tundishes using water model and mathematical simulations. Barron et al [5] characterized, through water modeling and mathematical simulations, the thermal stratification in plasma-heated tundishes. Chakraborty and Sahai [6,7] simulated the effects of varying ladle stream temperature on steel flow in tundishes and reported delayed radical changes of fluid flow pattern due to buoyancy forces.…”
Section: Introductionmentioning
confidence: 99%