Numerical investigation of natural convective heat and mass transfer in a vertical liquid sump with a dendritic wall
Conference
Bigzadeh, E, Ebadian, MA. (1992). Numerical investigation of natural convective heat and mass transfer in a vertical liquid sump with a dendritic wall
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 224 35-42.
Bigzadeh, E, Ebadian, MA. (1992). Numerical investigation of natural convective heat and mass transfer in a vertical liquid sump with a dendritic wall
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 224 35-42.
Combined thermal and solutal convection in a liquid sump of continuously cast steel has been investigated in this paper. The area of investigation is the lower part of the liquid sump, below the penetration range of the casting jet. The solution for the fully developed Navier-Stokes equation based on the assumption of a Boussinesq fluid is solved numerically. The control volume approach is utilized to discretize the Navier-Stokes equation. The SIMPLER algorithm with successive under relaxation (SUR) is then applied to obtain the velocity, temperature, and the concentration field. The results cover a wide range of the buoyancy ratio, Rs = 35, 20, 5, 3, using a thermal Rayleigh number of Rat = 105 and a Lewis number of Le = 1500. To account for the dendritic form of the solidification front, two additional Lewis numbers, the so-called 'effective' Lewis numbers of Le = 500 and Le = 1000 have also been computed in this paper. The illustrative curves for distribution of the flow field, concentration, and temperature in the liquid sump are presented. These figures indicate that increasing the solutal forces causes a pronounced stratified temperature in the sump. Furthermore, it creates gradual penetration of isoconcentration inside the sump from the bottom and from the top. In addition, a double diffusive loop was observed when the solutal boundary ratio is reduced. Finally, it was found that the critical Rayleigh number is dependent on the boundary condition.
