0
TECHNICAL PAPERS

Critical Wavelengths for Gap Nucleation in Solidification— Part II: Results for Selected Mold-Shell Material Combinations

[+] Author and Article Information
F. Yigit

Department of Mechanical Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia

L. G. Hector

Surface Science Division, Alcoa Technical Center, Alcoa Center, PA 15069

J. Appl. Mech 67(1), 77-86 (Sep 30, 1999) (10 pages) doi:10.1115/1.321167 History: Received March 09, 1999; Revised September 30, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Murakami,  H., Suzuki,  M., Kitagawa,  T., and Miyahara,  S., 1992, “Control of Uneven Solidified Shell Formation of Hypo-peritectic Carbon Steels in Continuous Casting Mold,” J. Iron Steel Inst. Jpn., 78, pp. 105–112.
Singh, S., and Blazek, K., 1974, “Heat Transfer and Skin Formation in a Continuous Casting Mold as a Function of Steel Carbon Content,” J. Metals, pp. 17–27.
Yigit,  F., and Hector,  L. G., 2000, “Critical Wavelengths for Gap Nucleation in Solidification. Part 1: Theoretical Methodology,” ASME J. Appl. Mech., 67, pp. 66–76.
Weirauch, Jr., D. A., and Giron, A., 1998, “The Early Stages of Aluminum Solidification in the Presence of a Moving Meniscus,” Proceedings on the Integration of Material, Process and Product Design—A Conference dedicated to the 70th birthday of Owen Richmond, A. A. Balkema Publishers, Rotterdam, Netherlands, pp. 183–191.
Schneck,  P., and Veronis,  G., 1967, “Comparison of Some Recent Experimental and Numerical Results in Bénard Convection,” Phys. Fluids, 10, pp. 927–930.
Hector,  L. G., and Schmid,  S. R., 1997, “Simulation of Asperity Plowing in an Atomic Force Microscope. Part I: Experimental and Theoretical Methods,” Wear, 215, pp. 247–256.
Yun,  I.-S., Wilson,  W. R. D., and Ehmann,  K. F., 1998, “Chatter in the Strip Rolling Process,” ASME J. Manuf. Sci. Eng., 120, pp. 330–336.
Broadbridge,  P., Fulford,  G. R., Fowkes,  N. D., Chan,  D. Y. C., and Lassig,  C., 1999, “Bubbles in Wet, Gummed Wine Labels,” SIAM Rev., 41, pp. 363–372.
Brush, D. O., and Almroth, B. O., 1975, Buckling of Bars, Plates, and Shells, McGraw-Hill, New York.
Richmond, O., 1987, personal communication with L. G. Hector, Jr., Alcoa Laboratories, Alcoa Technical Center, PA.
Yeo,  T., and Barber,  J. R., 1994, “Finite Element Analysis of Thermoelastic Contact Stability,” ASME J. Appl. Mech., 61, pp. 919–922.
Richmond,  O., Hector,  L. G., and Fridy,  J. M., 1990, “Growth Instability During Nonuniform Directional Solidification of Pure Metals,” ASME J. Appl. Mech., 57, pp. 529–536.
Heinlein,  M., Mukherjee,  S., and Richmond,  O., 1986, “A Boundary Element Method of Analysis of Temperature Fields and Stresses During Solidification,” Acta Mech., 59, pp. 59–81.
Boltz, R. E., and Tuve, G. L., 1984, CRC Handbook of Tables for Applied Engineering and Science, CRC Press, Boca Raton, FL.
Touloukian, Y. S., Powell, R. W., Ho, C. Y., and Klemens, P. G., 1970, Thermophysical Properties of Matter: Thermal Conductivity, Vol. 1, IFI/Plenum, New York.
Lucas,  L. D., 1972, “Density of Metals at High Temperatures in the Solid and Molten States, Part 2,” Mem. Sci. Rev. Met., 69, No. 6, pp. 479–492.
Lucas,  L. D., 1972, “Density of Metals at High Temperatures in the Solid and Molten States, Part 1,” Mem. Sci. Rev. Met., 69, No. 5, pp. 395–409.
Mathiak,  E., Nistler,  E., Waschkowski,  W., and Koester,  L., 1983, “Precision Density Measurements of Liquid Gallium, Tin, Cadmium, Thallium, Lead and Bismuth,” Z. Metallkd., 74, pp. 793–796.
Baumeister, T., Avallone, E. A., and Baumeister, III, T., 1978, Marks’ Standard Handbook for Mechanical Engineers, 8th ed., McGraw-Hill, New York.
Wawra,  H. H., 1974, “The Elastomechanical Properties of Pure Iron and FeS2 in Different Crystallographic Directions as a Function of Temperature and Pressure,” Arch. Eisenhuettenwes., 45, No. 5, pp. 317–320.
Ledbetter,  H. M., and Naimon,  E. R., 1974, “Elastic Properties of Metals and Alloys, II. Coper,” J. Phys. Chem. Ref. Data, 3, pp. 897–935.
Drapkin,  B. M., Birfel’d,  A. A., Kononenko,  V. K., and Kalyukin,  H. P., 1980, “Study of the Young’s Modulus and Internal Friction in the Range 20°C to Tm Inclusive,” Phys. Met. Metallogr., 49, pp. 150–155.
Touloukian, Y. S., Kirby, R. K., Taylor, R. E., and Desai, P. D., 1978, Thermophysical Properties of Matter: Thermal Expansion, Vol. 12, IFI/Plenum, New York.
Wawra,  H. H., 1978, “Accurate Elastomechanical Values of Copper Materials,” Metall., 32, pp. 346–348.
Hector,  L. G., Howarth,  J. A., Richmond,  O., and Kim,  W.-S., 2000, “Mold Surface Wavelength Effect on Gap Nucleation in Solidification,” ASME J. Appl. Mech., 67, pp. 155–164.
Dundurs,  J., 1974, “Distortion of a Body Caused by Free Thermal Expansion,” Mech. Res. Commun., 1, pp. 121–124.
Zhang,  R. G., and Barber,  J. R., 1990, “Effect of Material Properties on the Stability of Static Thermoelastic Contact,” ASME J. Appl. Mech., 57, pp. 365–369.

Figures

Grahic Jump Location
The mold conductivity effect as shown through Ptr versus t (×10−3 sec) for an aluminum shell solidifying on a mold with h0=0.5 mm and λ=2.0 mm
Grahic Jump Location
The mold conductivity effect as shown through Ptr versus t (sec) for an aluminum shell solidifying on a mold with h0=0.5 mm and λ=40.0 mm
Grahic Jump Location
Ptr versus t (sec) variation for an aluminum shell solidifying on an iron mold showing a critical wavelength at λR2=16.6 mm.h0=0.5 mm,P0=10,000 Pa.
Grahic Jump Location
Ptr versus t (×10−5 sec) variation for an aluminum shell solidifying on an iron mold showing a critical wavelength at λR1=0.046 mm.h0=0.5 mm,P0=10,000 Pa.
Grahic Jump Location
Ptr versus t (sec) variation for an aluminum shell solidifying on an iron mold showing critical wavelengths at λR1=0.046 mm and λR2=16.6 mm with gap nucleation times of tR1=1.1×10−3 sec and tR2=38.5×10−3 sec, respectively. h0=0.5 mm,P0=10,000 Pa.
Grahic Jump Location
Ptr versus t (sec) variation for a copper shell solidifying on an aluminum mold showing critical wavelengths at λR1=0.176 mm and λR2=33.27 mm with gap nucleation times of tR1=0.165×10−3 sec and tR2=31.50×10−3 sec, respectively. h0=0.5 mm,P0=10,000 Pa.
Grahic Jump Location
Critical wavelength effect on position of gap nucleation along the mold-shell interface
Grahic Jump Location
ΔλR variation with P0 for an aluminum shell
Grahic Jump Location
ΔλR variation with h0 for an aluminum shell
Grahic Jump Location
ΔλR variation with R0 for an aluminum shell
Grahic Jump Location
ΔλR variation with a1 for an aluminum shell
Grahic Jump Location
ΔλR variation with κ for an aluminum shell

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In