A boundary element method of inverse non-linear heat conduction analysis with point and line heat sources

✍ Scribed by Karami, G. ;Hematiyan, M. R.

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 111 KB
• Volume: 16
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(200003)16:3<191::aid-cnm321>3.0.co;2-n

✦ Synopsis

An analysis of inverse non-linear heat conduction with point or line distributed heat sources is presented. The contribution due to the loading vector coming from heat sources integrals are evaluated analytically. The inverse solution may be categorized into ÿnding either the solution of the problem in the form of the intensity of the loading at a speciÿc location, or the location and orientation of the generators assuming the intensity is known. The ÿrst category is an ill-posed problem and the solution to the second category may be found by an iterative search procedure. To regularize the solution to the ÿrst category, least-squares method is employed in conjunction with an addition of a regularization term. To ÿnd the solution to the second category a new and simple algorithm, called 'A Good Neighbour' is devised. For non-linear problems where the thermal conductivities are functions of the temperature, the Kirchho transformation is employed. The eciency and accuracy of the proposed methods employed are explored through several examples.