Yong Hong WuBenchawan WiwatanapatapheeXijun YuCurtin UniversityMahidol UniversityIAPCM2018-07-242018-07-242004-10-01International Journal of Computational Fluid Dynamics. Vol.18, No.7 (2004), 577-584106185622-s2.0-9144220225https://repository.li.mahidol.ac.th/handle/123456789/21309A single domain enthalpy control volume method is developed for solving the coupled fluid flow and heat transfer with solidification problem arising from the continuous casting process. The governing equations consist of the continuity equation, the Navier-Stokes equations and the convection-diffusion equation. The formulation of the method is cast into the framework of the Petrov-Galerkin finite element method with a step test function across the control volume and locally constant approximation to the fluxes of heat and fluid. The use of the step test function and the constant flux approximation leads to the derivation of the exponential interpolating functions for the velocity and temperature fields within each control volume. The exponential fitting makes it possible to capture the sharp boundary layers around the solidification front. The method is then applied to investigate the effect of various casting parameters on the solidification profile and flow pattern of fluids in the casting process.Mahidol UniversityEnergyEngineeringPhysics and AstronomyArticleSCOPUS10.1080/1061856031000137026