Numerical Evaluation of Two k-ε Turbulence Model for Predicting Flow and Solidification in Continuous Casting Slab

ListofSymbol　　cp———Specificheat ,J·kg-1·℃ -1;　　C1,C2 ,Cμ———Turbulentmodelconstants ;　　Dnoz———EquivalentdynamicdiameterofSEN ,m ;　　fs,f1———Solidfractionandliquidfraction ;　　f1,f2 ,fμ———Turbulentmodelterms ;　　g———Gravitationalacceleration ,m·s-2 ;　　k———Turbulencekineticenergy ,m2 ·s-2 ;　　k1———Laminarthermalconductivity ,W·m-1·℃-1;　　ks———Thermalconductivityofsolidsteel,W·m-1·℃ -1;　　p———Pressure ,Pa ;　　Prt———TurbulentPran…

Numerical Evaluation of Two k-ε Turbulence Model for Predicting Flow and Solidification in Continuous Casting Slab

A steady three-dimensional fluid flow and solidification model was built based on CFD software by high-Reynolds-number and Lam-Bremhorst low-Reynolds-number k-ε model. During the simulation, the fixed-grid enthalpy-porosity technique was used to represent the solidification, and Darcy law was adopted to simulate the flow in mushy region. The prediction for steel flow and solidification was evaluated by the comparison of two turbulence models. It is found that both Lam-Bremhorst low-Reynolds-number and high-Reynolds-number k-ε models predict the same trend of the steel flow and temperature distribution. However, due to the effect of turbulent flow on heat transfer, the low-Reynolds-number turbulence model predicts longer penetration depth of molten steel in sub-mold region, less shell growth and higher shell surface temperature at the narrow face compared with standard k-ε model.