Fractal geometry as an effective heat sink

Ramšak, Matjaž (author)

"How long is the coast of Britain?" was the question stated by Mandelbrot. Using smaller and smaller rulers the coast length limits to infinity. If this logic is applied to the fractal heat sink geometry, infinite cooling capacity should be obtained using fractals with mathematically infinite surface area. The aim of this article is to check this idea using Richardson extrapolation of numerical simulation results varying the fractal element length from one to zero. As expected, the extrapolated heat flux has a noninfinite limit. The presented fractal heat sink geometry is non-competitive to the straight fins.

• Language: English
• Keywords: fractal heat sink, LED cooling, CPU cooling, conjugate heat transfer, laminar flow, boundary element method, Koch snowflake
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.09.2022
• Year: 2022
• Number of pages: Str. 517-528
• Numbering: Vol. 68, no. 9
• PID: 20.500.12556/RUL-141694
• UDC: 621.56:536.24
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2022.28
• COBISS.SI-ID: 124223491
• Publication date in RUL: 05.10.2022

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.], = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Fraktalna geometrija reber za učinkovit hladilnik
• Keywords: fraktalno hladilno telo, LED hlajenje, CPU hlajenje, konjugirani prenos toplote, laminarni tok, metoda robnih elementov, Kochova snežinka

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0196
• Name: Raziskave v energetskem, procesnem in okoljskem inženirstvu