AN OPTIMUM SPACING PROBLEM FOR FIVE CHIPS ON A HORIZONTAL SUBSTRATE IN AN ENCLOSURE – NATURAL CONVECTION

Abstract

International Journal of Computational Engineering ScienceVol. 01, No. 01, pp. 167-186 (2000) No AccessAN OPTIMUM SPACING PROBLEM FOR FIVE CHIPS ON A HORIZONTAL SUBSTRATE IN AN ENCLOSURE – NATURAL CONVECTIONYANG LIU, CHUN WAH LEUNG, TAL LEUNG CHANG, and PHAN-THUEN NHANYANG LIUDepartment of Mechanical Engineering, The Hong Kong Polytechnic University, Hum Hom, Kowloon, Hong Kong, P. R. China Search for more papers by this author , CHUN WAH LEUNGDepartment of Mechanical Engineering, The Hong Kong Polytechnic University, Hum Hom, Kowloon, Hong Kong, P. R. China Search for more papers by this author , TAL LEUNG CHANGDepartment of Mechanical Engineering, The Hong Kong Polytechnic University, Hum Hom, Kowloon, Hong Kong, P. R. China Search for more papers by this author , and PHAN-THUEN NHANInstitute of High Performance Computing, National University of Singapore, Singapore 119260, SingaporePermanent address: Department of Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia. Search for more papers by this author https://doi.org/10.1142/S1465876300000094Cited by:3 Previous AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThe optimum spacing problem for five heated chips rested on a conductive substrate in a two dimensional enclosure filled with air is solved by an operator-splitting pseudo-time-stepping finite element method, which automatically satisfies the continuity of the interfacial temperature and heat flux. It is found that the conventional equi-spaced arrangement is not an optimum option. An optimum thermal performance can be obtained when the center-to-center distances between the chips follow a geometric series. The maximum relative temperature drop in the optimum configuration can be as much as 17% of the equi-spaced arrangement. FiguresReferencesRelatedDetailsCited By 3Optimal Distribution of Discrete Heat Sources Under Natural Convection Using ANN–GA Based TechniqueTapano Kumar Hotta and Shakkottai P. Venkateshan25 August 2014 | Heat Transfer Engineering, Vol. 36, No. 2Optimal Distribution of Discrete Heat Sources Under Mixed Convection—A Heuristic ApproachTapano Kumar Hotta, C. Balaji and S. P. Venkateshan29 July 2014 | Journal of Heat Transfer, Vol. 136, No. 10Effect of surface radiation heat transfer on the optimal distribution of discrete heat sources under natural convectionTapano Kumar Hotta, Pullarao Muvvala and S. P. Venkateshan18 October 2012 | Heat and Mass Transfer, Vol. 49, No. 2 Recommended Vol. 01, No. 01 Metrics History Received 2 August 1999 Accepted 4 November 1999 PDF download