A Computational Teddqae for Heat W a r h e to a Fast Movhg Hl(lf 80urce

K. V. Rama Rao; J. A. Sekhar

doi:10.14429/dsj.39.4763

K. V. Rama Rao Defence Metallurgical Research Laboratory, Hyderabad-500 258
J. A. Sekhar Defence Metallurgical Research Laboratory, Hyderabad-500 258

DOI: https://doi.org/10.14429/dsj.39.4763

Keywords: Spheroidal co ordinate system, Heat Transfer

Abstract

The heat transfer in the two phase region in the study of melting and solidification of a surface layer by a moving heat source is studied.The transient problem is formulated using the enthalpy and temperature model and solved in an oblate spheroidal co-ordinate system using animplicit modified upwinding scheme in terms of non-dimensional nodal enthalpy and temperature. It is observed that the temperature gradient which controls the solidification rate, increases to a maximum initiallyand then decreases to zero. It is found that the solid-liquid interface velocity which is zero initially very quickly reaches to the velocity ofthe heat source, though the gradient ahead of the interface relaxes much more slowly.

References

Rosenthal, D., Welding Journul, 20 (1941), 2205.

Carslaw, H.S. & Jaeger, J.C., (Eds), Conduction of Heat in Solids, (Oxford University Press), 1978, p. 270.

Hsu, S.C., Kou, S. & hiehrabian, R., Metall. Trans., 118B (190). 30.

Cohen , M . I . , J. Franklin Imt., 283 (1 9671, 27 1.

Kou, S., Hsu, S.C. & Mehrabian, R., Metall. Tram., 12Il (1981). 33.

Cline, H.E. & Anthony, T.R., I. Appl. Phy., 48 (1977), 4906.

Nissim, H.I., Litoila, A., Good, R.B. & Gibbons, J.F., J. Appl. Phys., 5 (19843, 274.

Guenot, R. & Racinet, J., British Welding Journal, 14 (1%7), 427.

Sekhar, J.A., Kou, S. & Mehrabian, Re, Metall. Trans., 14A (1983), 1169.

Sekhar, J.A., Mehrabian, R. & Fraser, H.L., Proceedings of AIME Conference on Lasers in Metallurgy, 1982, p. 207.

Sekhar, J.A. & Mehrabian, R., Metall. Trans., 12B (1981), 41 1.

Brown, J.M. & Sekhar, J.A., Metall. Trans., 1SA (1984), 29.

Sekhar, J.A., Proceedings of the Symposium on Amorphous Materials. Bhabha Atomic Research Centre, Bombay, October, 1983, p. 19.

Hode, J.M. & Joly, J.P., Journal DC Physique, October (1983), C5-343.

Grill, Shanir A. & Pelleg, J., Metall. Trans., 118B (1980). 257.

Kou, S., Metall. Trans., 12A (1981), 2025.

Kou, S., Metall. Tvans., 13A (1982), 363.

Rama Rao, K.V. & Sekhar, J.A., Acta Merall, 15 (19$6), 81.

Rama Rao, K.V. & Sekhar, J.A., Metall. Trans., 18A (1987), 354.