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Simulation of incompressible turbulent flows

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      There are many alternative combinations of velocities and gradients of velocities that can be prescribed at an OBC [8], the most common of which are summarised in Table 1. A popular choice is to specify the passive condition that wall normal gradients of a scalar term ϕ are equal to zero, ∂ϕ/∂n = 0 [9,10,5]. The advantage of this approach over the more stringent Dirichlet condition, ϕ = f(x, y), is in the elimination, to first order, of an artificial boundary layer [5].

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      Various models, such as the mixing-length-type model, the one-equation model and the two-equation (K–ε) model, have been proposed for calculating μt. Ferziger [9] and Launder [20], based on a critical review, suggested that the simple mixing-length-type model is suitable for most boundary-layer-type flows in the absence of recirculation; the one-equation model can be used to model simple recirculation flows; while for more complex flow fields, the two-equation model should be used. As the flow field in the continuous casting mould is complex with circulation, we use the two-equation (K–ε) model for calculating μt.

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