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RESEARCH PAPERS

# Heat Transfer Simulation in the Mold With Generalized Curvilinear Formulation

[+] Author and Article Information
Eliseu L. Monteiro

Engineering Department, University of TAD, 5000-911 Vila Real, Portugalelmmonteiro@portugalmail.pt

Abel I. Rouboa

UTAD/Department of Engineering and Applied Mechanics, University of Pennsylvania, 229 Towne Building, 220 South 33rd Street, Philadelphia, PA 19104rouboa@seas.upenn.edu

António A. C. Monteiro

Mechanical Department, University of Minho, 4704-553 Braga, Portugalcmonteiro@dem.uminho.pt

J. Pressure Vessel Technol 128(3), 462-466 (Oct 31, 2005) (5 pages) doi:10.1115/1.2218352 History: Received March 10, 2004; Revised October 31, 2005

## Abstract

The production of a part by foundry techniques is influenced by its complex geometry configuration, which affects the solidification conditions and subsequent cooling. For example certain pipes, some vessels and most valves are produced by casting. To model the solidification of the complex shapes such as valves is difficult if Cartesian coordinates are used. Even simpler parts like pipes may become difficult to model because they usually are not orthogonally ruled shapes. The main objective of this paper is to describe the development of a finite volume method intended to simulate the heat transfer phenomena during the phase change process. Because of the mold design complexity, the finite volume is described using the generalized curvilinear formulation.

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## Figures

Figure 1

Cooling diagram of an alloy showing primary solidification in the interval [ϕl,ϕe], followed by eutectic solidification at the temperature ϕe

Figure 2

Typical control volume and the notation used

Figure 3

Cross section of the mold/part set, showing the division in two domains

Figure 4

Representation of the mesh used to discretize each of subdomains

Figure 5

Temperature fields (°C) in the part/mold set after 0.25s of cooling

Figure 6

Temperature field (°C) in the part/mold set after 3s of cooling

Figure 10

Experimental data and finite volume method results for thermocouple 10

Figure 7

Temperature field (°C) in the part/mold set after 5s of cooling

Figure 8

Temperature field (°C) in the part/mold set after 7s of cooling

Figure 9

Positions of the thermocouples (13) in the cross section, used to obtain experimental temperature data

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