Boundary shape determination of steady-state heat-conduction fields

✍ Scribed by Eiji Katamine; Hideyuki Azegami; Masami Kojima

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 372 KB
• Volume: 30
• Category: Article
• ISSN: 1099-2871
• DOI: 10.1002/htj.1014

✦ Synopsis

Abstract

In this paper, a practical method of numerical analysis for the boundary shape design of steady‐state heat‐conduction fields to control the temperature distribution to a prescribed distribution is presented. Reshaping was accomplished by the traction method proposed by one of the authors as a solution to domain optimization problems in which elliptic boundary value problems were defined. In this study, we formulated a temperature square error norm minimization problem between the prescribed distribution and the actual distribution on prescribed boundaries and theoretically derived a shape gradient function for this problem. We developed a convenient numerical method using a general‐purpose FEM program for the temperature prescribed problem. The successful results for the two‐dimensional problems of an erosion surface on a blast furnace hearth and a coolant flow passage in a wing demonstrate the validity of the presented method. © 2001 Scripta Technica, Heat Trans Asian Res, 30(3): 245–258, 2001