References
- G. S. Cole and G. F. Bolling , The Importance of Natural Convection in Casting , Trans. Metall. Soc. AIME , vol. 233 , pp. 1568 – 1572 , 1965 .
- G. S. Cole and G. F. Bolling , Augmented Natural Convection and Equiaxed Grain Structure in Casting , Trans. Metall. Soc. AIME , vol. 236 , pp. 1366 – 1368 , 1966 .
- M. C. Flemings and G. E. Nereo , Macrosegregation Part II, Trans. Metall. Soc. AIME , vol. 239 , pp. 1449 – 1461 , 1967 .
- M. C. Flemings , R. Mehrabian , and G. E. Nereo , Macrosegregation Part II, Trans. Metall. Soc. AIME , vol. 242 , pp. 41 – 49 , 1968 .
- M. C. Flemings and G. E. Nereo , Macrosegregation Part III, Trans. Metall. Soc. AIME , vol. 242 , pp. 50 – 55 , 1968 .
- W. D. Bennon and F. P. Incropera , The Evolution of Macrosegregation in Statically Cast Binary Ingots , Metall. Trans. B , vol. 18B , pp. 611 – 616 , 1987 .
- P. J. Prescott and F. P. Incropera , Numerical Simulation of a Solidifying Pb-Sn Alloy The Effects of Cooling Rate on Thermosolutal Convection and Macrosegregation , Metall. Trans. B , vol. 22B , pp. 529 – 540 , 1991 .
- P. J. Prescott and F. P. Incropera , Binary Solid-Liquid Phase Change with Fluid Flow , in A S. Mujumdar and R. A. Mashelkar ( eds. ) Advances in Transport Processes IX , pp. 57 – 101 , Elsevier Science , Amsterdam , 1993 .
- G. de Vahl Davis , Natural Convection of Air in a Square Cavity A Bench MarkNumerical Solution , Int. J. Numer. Methods Fluids , vol. 3 , pp. 249 – 264 , 1983 .
- T. Saitoh and K. Hirose , High-Accuracy Bench Mark Solutions to Natural Convection in a Square Cavity , Comput. Mech. , vol. 4 , pp. 417 – 427 , 1989 .
- G. de Vahl Davis and I. P. Jones , Natural Convection in a Square Cavity A Comparison Exercise , Int. J. Numer. Methods Fluids , vol. 3 , pp. 227 – 248 , 1983 .
- R. J. Janssen , R. A. W. M. Henkes , Accuracy of Finite-Volume Discretizations for the Bifurcating Natural-Convection Flow in a Square Cavity , Numer. Heat Transfer PartB ,vol. 24 , pp. 191 – 207 , 1993 .
- A. Mohamad and R. Viskanta , An Evaluation of Different Discretization Schemes for Natural Convection of Low-Prandtl-Number Fluids in Cavities , Numer. Heat Transfer Part B , vol. 16 , pp. 170 – 192 , 1989 .
- P. M. Gresho and C. D. Upson , Application of a Modified Finite Element Method to the Time-Dependent Thermal Convection of a Liquid Metal , in C. Taylor, J. A. Johnson, and W. R. Smith ( eds. ), Numerical Methods in Laminar and Turbulent Flow , Pineridge Press , Swansea , 1983 .
- G. Pagliarini , Finite-Element Analysis of Steady Periodic Convection-Diffusion Transport , Numer, Heat Transfer Part A , vol. 20 , pp. 433 – 444 , 1991 .
- K. H. Winters , Oscillatory Convection in Liquid Metals in a Horizontal Temperature Gradient , Int. J, Numer. Methods Eng. , vol. 25 , pp. 401 – 414 , 1983 .
- C. Canuto , M. Y. Hussaini , A. Quateroni , and T. A. Zang , Spectral Methods in Fluid Dynamics , Springer , New York , 1988 .
- Y. Ehrenstein and R. Peyret , A Chebychev Collocation Method for the Navier-Stokes Equation with Application to Double-Diffusive Convection , Int. J. Numer. Methods Fluids , vol., 9 , pp. 427 – 452 , 1989 .
- P. Le Quere , Accurate Solutions to the Square Thermally Driven Cavity at High Rayleigh Number , Comput. Fluids , vol. 20 , no. 1 , pp. 29 – 41 , 1991 .
- E. Crespo del Arco , J. C. Pulicani , and P. Bontoux , Simulation and Analysis of the Time-Dependent Convection in Low-Pr Liquids , Phys. Chem. Hydrodyn. , vol. 11 , no. 5/6 , pp. 681 – 692 , 1989 .
- T. L. Bergman and K. S. Ball , Transition to Oscillatory Natural Convection in Low Pr Liquids Subject to a Horizontal Temperature Gradient, paper presented at the Tenth International Heat Transfer Conference , Brighton , England , 1994 .
- Mohamad and R. Viskanta , Transient Natural Convection of Low-Prandtl-Number Fluids in a Differentially Heated Cavity , Int. J. Numer. Methods Fluids , vol. 13 , pp. 61 – 81 , 1991 .
- A. Mohamad and R. Viskanta , Transient Low Prandtl Number Fluid Convection in a Lid-Driven Cavity , Numer. Heat Transfer Part A , vol. 19 , pp. 187 – 205 , 1991 .
- S. V. Patankar , Numerical Heat Transfer and Fluid Flow , pp. 118 – 134 , Hemisphere , Washington , D.C. , 1980 .
- Address correspondence to Patrick J. Prescott, Department of Mechanical Engineering, Pennsylvania State University, 137 Reber Building, University Park, PA 16802-1412, USA