Filling Process in an Open Tank

[+] Author and Article Information
S. L. Lee, S. R. Sheu

Department of Power Mechanical Engineering, National Tsing-Hua University, Hsinchu 30013, Taiwan

J. Fluids Eng 125(6), 1016-1021 (Jan 12, 2004) (6 pages) doi:10.1115/1.1624425 History: Received November 05, 2000; Revised June 04, 2003; Online January 12, 2004
Copyright © 2003 by ASME
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Gilotte,  P., Huynh,  L. V., Etay,  J., and Hamar,  R., 1995, “Shape of the Free Surfaces of the Jet in Mold Casting Numerical Modeling and Experiments,” ASME J. Eng. Mater. Technol., 17, pp. 82–85.
Bruschke,  M. V., and Advani,  S. G., 1994, “A Numerical Approach to Model Non-Isothermal Viscous Flow Through Fibrous Media With Free Surfaces,” Int. J. Numer. Methods Fluids, 19, pp. 575–603.
Maier,  R. S., Rohaly,  T. F., Advani,  S. G., and Fickie,  K. D., 1996, “A Fast Numerical Method for Isothermal Resin Transfer Mold Filling,” Int. J. Numer. Methods Eng., 39, pp. 1405–1417.
Matsuhiro,  I., Shiojima,  T., Shimazaki,  Y., and Daiguji,  H., 1990, “Numerical Analysis of Polymer Injection Moulding Process Using Finite Element Method With Marker Particles,” Int. J. Numer. Methods Eng., 30, pp. 1569–1576.
Zaidi,  K., Abbes,  B., and Teodosiu,  C., 1996, “Finite Element Simulation of Mold Filling Using Marker Particles and k-ε Model of Turbulence,” Comput. Methods Appl. Mech. Eng., 134, pp. 241–247.
Sato,  T., and Richardson,  S. M., 1994, “Numerical Simulation Method for Viscoelastic Flows With Free Surfaces—Fringe Element Generation Method,” Int. J. Numer. Methods Fluids, 19, pp. 555–574.
Hirt,  C. W., and Nichols,  B. D., 1981, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” J. Comput. Phys., 39, pp. 201–225.
Ramshaw,  J., and Trapp,  J., 1976, “A Numerical Technique for Low Speed Homogeneous Two-Phase Flow With Sharp Interface,” J. Comput. Phys., 21, pp. 438–453.
Chen,  C. W., Li,  C. R., Han,  T. H., Shei,  C. T., Hwang,  W. S., and Houng,  C. M., 1994, “Numerical Simulation of Filling Pattern for an Industrial Die Casting and Its Comparison With the Defects Distribution of an Actual Casting,” Trans. Am. Found. Soc.,104, pp. 139–146.
Unverdi,  S. O., and Tryggvason,  G., 1992, “A Front-Tracking Method for Viscous, Incompressible, Multi-Fluid Flows,” J. Comput. Phys., 100, pp. 25–37.
Pericleous,  K. A., Chan,  K. S., and Cross,  M., 1995, “Free Surface Flow and Heat Transfer in Cavities: The SEA Algorithm,” Numer. Heat Transfer, 27B, pp. 487–507.
Wu, J., Yu, S. T., and Jiang, B. N., 1996, “Simulation of Two-Fluid Flows by the Least-Square Finite Element Methods Using a Continuum Surface Tension Model,” NASA CR-202314, Lewis Research Center, Cleveland, OH.
Sussman,  M., Fatemi,  E., Smereka,  P., and Osher,  S., 1998, “An Improved Level Set Method for Incompressible Two-Phase Flows,” Comput. Fluids, 27, pp. 663–680.
Hetu,  J.-F., and Ilinca,  F., 1999, “A Finite Element Method for Casting Simulations,” Numer. Heat Transfer, Part A, 36A, pp. 657–679.
Pichelin,  E., and Coupez,  T., 1999, “A Taylor Discontinuous Galerkin Method for the Thermal Solution in 3D Mold Filling,” Comput. Methods Appl. Mech. Eng., 178, pp. 153–169.
Pichelin,  E., and Coupez,  T., 1998, “Finite Element Solution of the 3D Mold Filling Problem for Viscous Incompressible Fluid,” Comput. Methods Appl. Mech. Eng., 163, pp. 359–371.
Chan,  K. S., Pericleous,  K., and Cross,  M., 1991, “Numerical Simulation of Flows Encountered During Mold-Filling,” Appl. Math. Model., 15, pp. 624–631.
van Leer,  B., 1977, “Towards the Ultimate Conservative Difference Scheme. IV. A New Approach to Numerical Convection,” J. Comput. Phys., 23, pp. 276–299.
Dhatt,  G., Gao,  D. M., and Cheikh,  A. B., 1990, “A Finite Element Simulation of Metal Flow in Moulds,” Int. J. Numer. Methods Eng., 30, pp. 821–831.
Lee,  S. L., and Sheu,  S. R., 2001, “A New Numerical Formulation for Incompressible Viscous Free Surface Flow Without Smearing the Free Surface,” Int. J. Heat Mass Transfer, 44, pp. 1837–1848.
Lee,  S. L., and Tzong,  R. Y., 1992, “Artificial Pressure for Pressure-Linked Equation,” Int. J. Heat Mass Transfer, 35, pp. 2705–2716.
Martin,  J. C., and Moyce,  W. J., 1952, “An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane,” Philos. Trans. R. Soc. London, Ser. A, 244A, pp. 312–324.
Sarpkaya,  T., 1996, “Vorticity, Free Surface, and Surfactants,” Annu. Rev. Fluid Mech., 28, pp. 83–128.
Tsai,  W. T., and Yue,  D. K. P., 1996, “Computation of Nonlinear Free-Surface Flows,” Annu. Rev. Fluid Mech., 28, pp. 249–278.
Lee,  S. L., 1989, “A Strongly-Implicit Solver for Two-Dimensional Elliptic Differential Equations,” Numer. Heat Transfer, Part B, 16B, pp. 161–178.
Hwang, W.-S., and Stoehr, R. A., 1988, “Modeling of Fluid Flow,” Metal Handbook, 9th Ed., ASM International, Metals Park, OH, 15 , pp. 867–876.


Grahic Jump Location
Configuration of the problem
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Computational domain for the artificial velocity (u*,v*)
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The isobars (with increment Δp=0.1) and the velocity vectors at four representative times
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Evolution of the free surface profile (a) at every 0.05 s, and (b) at every 0.01 s in the period 0.2 s≤t≤0.3 s
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Influence of (a) time steps, and (b) spatial grid meshes on the free-surface profiles
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Comparison of free-surface advancement between the present prediction and the experimental observation (Hwang and Stoerhr 26)
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An examination of the computed mass conservation inside the tank




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