A numerical study of the turbulent flow of molten steel in a domain with a phase-change boundary

• Published in: Journal of computational and applied mathematics Vol. 166; no. 1; pp. 307 - 319
• Main Authors: Wiwatanapataphee, B., Wu, Y.H., Archapitak, J., Siew, P.F., Unyong, B.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 01.04.2004; Elsevier
• Subjects: Computational methods in fluid dynamics; Continuous casting; Exact sciences and technology; Finite element method; Fluid dynamics; Fundamental areas of phenomenology (including applications); Heat transfer; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Partial differential equations; Partial differential equations, boundary value problems; Physics; Sciences and techniques of general use; Solidification; Turbulent flow; Finite element method; Continuous casting; Turbulent flow; Heat transfer; Solidification; Numerical analysis; Moving domain; Navier Stokes equation; Continuity equation; Applied mathematics; Phase change; Galerkin method; Molten steel
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2003.09.020

A numerical algorithm, based on the Galerkin finite element method and the enthalpy formulation, is developed for solving the coupled turbulent fluid flow and heat transfer problem in a domain with a moving phase-change boundary. The governing equations consist of the continuity equation, the Navier–Stokes equations, the energy equation and the modified K– ε equations. The formulation of the method is cast into the framework of the Bubnov–Galerkin finite element method. A numerical study shows that the developed numerical algorithm is stable and capable of capturing the rapid change of temperature and velocity near the phase-change boundary.