Doctoral Dissertations


"This dissertation presents an analytical study of shrinkage-induced transport phenomena during alloy solidification. A mathematical model, based on the continuum model, has been developed to investigate the shrinkage-induced fluid flow and the associated domain change, and its interaction with natural convection. The governing conservation equations were integrated over the control volume and the resulting discretization equations were solved by the SIMPLEC algorithm.

Numerical calculations were performed for a typical material of 1% Cr-Steel. The results show that the shrinkage-induced fluid flow and corresponding domain change enhance the convective heat transfer rate. The global solidification time is found to be smaller than that predicted without the shrinkage-induced effect. Also, the isotherms in both the shrinkage-induced fluid flow and natural convection are almost the same, but the flow patterns are found to be very different. This behavior in the change of flow patterns can have a profound effect on the formation of casting defects"--Abstract, page iv.


Tsai, Hai-Lung
Chen, T. S.

Committee Member(s)

Koval, Leslie Robert
Ho, C. Y. (Chung You), 1933-1988
Grimm, L. J.


Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Mechanical Engineering


National Science Foundation (U.S.)


The project was supported in part by the National Science Foundation under Grant No. CBT-8808212


University of Missouri--Rolla

Publication Date

Fall 1990

Journal article titles appearing in thesis/dissertation

  • Shrinkage-induced fluid flow and domain change in two-dimensional alloy solidification
  • Interaction between shrinkage-induced fluid flow and natural convection during alloy solidification


xvi, 138 pages

Note about bibliography

Includes bibliographical references.


© 1990 Kun-Chuan Chiang, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Subject Headings

Heat -- Convection -- Mathematical models
Fluid dynamics -- Mathematical models
Metals -- Rapid solidification processing

Thesis Number

T 6115

Print OCLC #


Electronic OCLC #


Link to Catalog Record

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