Fractal Geometry as an Effective Heat Sink

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RAMŠAK, Matjaž .
Fractal Geometry as an Effective Heat Sink. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 68, n.9, p. 517-528, june 2022. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/>. Date accessed: 24 jul. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2022.28.
Ramšak, M.
(2022).
Fractal Geometry as an Effective Heat Sink.
Strojniški vestnik - Journal of Mechanical Engineering, 68(9), 517-528.
doi:http://dx.doi.org/10.5545/sv-jme.2022.28
@article{sv-jmesv-jme.2022.28,
	author = {Matjaž  Ramšak},
	title = {Fractal Geometry as an Effective Heat Sink},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {68},
	number = {9},
	year = {2022},
	keywords = {Fractal heat sink; LED and CPU cooling; conjugate heat transfer; laminar flow; Boundary Element Method; Koch snowflake; },
	abstract = {"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.},
	issn = {0039-2480},	pages = {517-528},	doi = {10.5545/sv-jme.2022.28},
	url = {https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/}
}
Ramšak, M.
2022 June 68. Fractal Geometry as an Effective Heat Sink. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 68:9
%A Ramšak, Matjaž 
%D 2022
%T Fractal Geometry as an Effective Heat Sink
%B 2022
%9 Fractal heat sink; LED and CPU cooling; conjugate heat transfer; laminar flow; Boundary Element Method; Koch snowflake; 
%! Fractal Geometry as an Effective Heat Sink
%K Fractal heat sink; LED and CPU cooling; conjugate heat transfer; laminar flow; Boundary Element Method; Koch snowflake; 
%X "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.
%U https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/
%0 Journal Article
%R 10.5545/sv-jme.2022.28
%& 517
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 68
%N 9
%@ 0039-2480
%8 2022-06-13
%7 2022-06-13
Ramšak, Matjaž.
"Fractal Geometry as an Effective Heat Sink." Strojniški vestnik - Journal of Mechanical Engineering [Online], 68.9 (2022): 517-528. Web.  24 Jul. 2024
TY  - JOUR
AU  - Ramšak, Matjaž 
PY  - 2022
TI  - Fractal Geometry as an Effective Heat Sink
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.28
KW  - Fractal heat sink; LED and CPU cooling; conjugate heat transfer; laminar flow; Boundary Element Method; Koch snowflake; 
N2  - "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.
UR  - https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/
@article{{sv-jme}{sv-jme.2022.28},
	author = {Ramšak, M.},
	title = {Fractal Geometry as an Effective Heat Sink},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {68},
	number = {9},
	year = {2022},
	doi = {10.5545/sv-jme.2022.28},
	url = {https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/}
}
TY  - JOUR
AU  - Ramšak, Matjaž 
PY  - 2022/06/13
TI  - Fractal Geometry as an Effective Heat Sink
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 68, No 9 (2022): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.28
KW  - Fractal heat sink, LED and CPU cooling, conjugate heat transfer, laminar flow, Boundary Element Method, Koch snowflake, 
N2  - "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.
UR  - https://www.sv-jme.eu/article/fractal-geometry-as-an-effective-heat-sink/
Ramšak, Matjaž"Fractal Geometry as an Effective Heat Sink" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 68 Number 9 (13 June 2022)

Authors

Affiliations

  • University of Maribor, Faculty of Mechanical Engineering, Slovenia 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 68(2022)9, 517-528
© The Authors 2022. CC BY 4.0 Int.

https://doi.org/10.5545/sv-jme.2022.28

"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.

Fractal heat sink; LED and CPU cooling; conjugate heat transfer; laminar flow; Boundary Element Method; Koch snowflake;