0
RESEARCH PAPERS

Perturbation Solutions for the Shape of a Solidification Interface Subjected to a Spatially Periodic Heat Flux

[+] Author and Article Information
A. K. Sen

Department of Mathematical Sciences, Purdue University School of Science, Indianapolis, IN 46223

J. Heat Transfer 109(4), 835-840 (Nov 01, 1987) (6 pages) doi:10.1115/1.3248191 History: Received January 06, 1987; Online October 20, 2009

Abstract

In the manufacture of certain high-technology materials (such as strengthened composites for turbine and compressor blades) from a melt, it is essential to control the heat transfer conditions in such a way that a planar solidification interface is maintained within a given tolerance. Spatial nonuniformities in the heat flux imposed along the solidification interface may cause deformation. In this paper we analyze the interfacial shapes resulting from a periodic heat flux variation along the interface. Two cases of practical interest are examined. In case (a) the amplitude of heat flux variation is assumed small compared to the mean value, and in case (b) the wavelength of the imposed heat flux variation is considered to be much larger than a characteristic length in the transverse direction. In both cases, sensitivity of the interface shape with respect to heat flux nonuniformities is also determined.

Copyright © 1987 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

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