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Influence of external current density J s e on the EM force (a) J s e = 10 4 A/m 2 ; (b) J s e = 5 × 10 4 A/m 2 ; (c) J s e = 10 5 A/m 2 

Influence of external current density J s e on the EM force (a) J s e = 10 4 A/m 2 ; (b) J s e = 5 × 10 4 A/m 2 ; (c) J s e = 10 5 A/m 2 

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Article
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This paper is concerned with the two-fluid flow and heat trans-fer in the continuous steel casting process under electromagnetic (EM) force. The governing equations consist of the Navier-Stokes equations, the continuity equation, and the energy equation. The influence of the EM field on the flow pattern, the meniscus shape, and temperature distribu...

Context in source publication

Context 1
... the subscripts m +1 and m denote iterative computation steps, R i denotes the solution vector of the i -th variable on the finite element nodes, · is the Euclidean norm and T ol is a small positive constant. The influence of the EM field on the coupled two-fluid flow and heat transfer solidification process is investigated in the present study. The example under investigation is a rectangular caster which has a width of 0.1 m and a depth 0.4 m in the x − z plane. The computation domain as shown in Figure 2 was discretized using 14,927 triangular elements with a total of 128,941 degrees of freedom. The finer grid was used in the lubricant oil region and near the interface. The values of model parameters used in this simulation are as listed in Table 1. Figure 3 shows the EM force F em corresponding to different source current density J e . The results show that the EM force acts on the molten steel ...

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The motion of a thin suspended film of an incompressible fluid under the effect of an external electric field is studied. The effect of the interfacial Maxwell stress, surface tension and inter-molecular forces is studied, in which the forces are included in the Navier-Stokes equations. The perturbation technique is used to solve for a given model....

Citations

... Over the last few decades, most of the research efforts have been focussed on investigating the flow pattern and heat transfer problems in the continuous casting process [1], [4], [7], [9], [11], [18], [21]. Mookum [12], [13] presented a mathematical model to study the effect of electromagnetic field on the flow and temperature fields. The results indicated that the electromagnetic force reduced the speed of the molten steel near the mould wall. ...
... To solve the steady state system of equations (24) and (25), we can solve first equation (24) forφ and then use this solution to solve equation (25) forÃ. For the finite element solution of u i , p, T, ϕ, K and ε, the variational statement for the boundary value problem corresponding to the the equations (4), (5), (6), (12), (13), and (14) subjected to relevant boundary conditions is established as follows: ...
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This paper aims to study the effect of turbulence on the flow of two fluids and the heat transfer - solidification process in electromagnetic continuous steel casting. The complete set of field equations is established. The flow pattern of the fluids, the meniscus shape and temperature field as well as solidification profiles obtained from the model with and with no turbulence effect are presented. The results show that the model with turbulence gives a large circulation zone above the jet, much larger variation of the meniscus geometry, a slow solidification rate and higher temperature in the top part of the strand region.