Conjugate transient analysis of solidification processes in an enclosed region

R. Viswanath, Yogesh Jaluria

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Solidification in an enclosed space is investigated, considering conduction in the mold wall. This gives rise to a conjugate, transient problem, with the flow driven by thermal buoyancy. The enthalpy formulation is used for the energy equation with a porous medium approximation for the region undergoing phase change. The continuity and momentum equations are solved using primitive variables in the physical space. The control volume approach is employed to discretize the equations. The mold is subjected to different thermal conditions at the outer surface and the effect of these on the shape of the solid/liquid interface, rate of solid formation and the rate of heat transfer are quantified. Streamlines, isotherms and velocity profiles are also obtained. The conditions under which natural convection in the melt can be neglected is investigated. The effects of important design parameters such as the mold material and width, aspect ratio of the cavity, and heat removal rate from the mold are considered in detail. A comparison is made of the heat transfer characteristics between the conjugate and non-conjugate cases. Of particular interest is the temperature field that arises in the liquid, solid and the mold wall. It is shown that conjugate transport must be included for a realistic simulation of practical problems. The relevance and applicability of this information to the design of ingot casting systems is discussed.

Original languageEnglish (US)
Title of host publicationHeat and Mass Transfers in Materials Processing and Manufacturing
EditorsJ.H. Kim
PublisherPubl by ASME
Pages73-87
Number of pages15
Volume261
ISBN (Print)0791810070
Publication statusPublished - Dec 1 1993
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: Nov 28 1993Dec 3 1993

Other

OtherProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA
Period11/28/9312/3/93

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All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Viswanath, R., & Jaluria, Y. (1993). Conjugate transient analysis of solidification processes in an enclosed region. In J. H. Kim (Ed.), Heat and Mass Transfers in Materials Processing and Manufacturing (Vol. 261, pp. 73-87). Publ by ASME.