Uniqueness of the Infinite Open Cluster for High-density Percolation on Lattice Sierpinski Carpet

2001 ◽  
Vol 17 (1) ◽  
pp. 141-146
Author(s):  
Xian Yuan Wu
Keyword(s):  
Open Cluster ◽  
High Density ◽  
Sierpinski Carpet ◽  
Sierpiński Carpet

Thermal Performance of Sierpinski Carpet Fractal Fins in a Forced Convection Environment

2016 ◽  
Author(s):  
David Calamas ◽  
Daniel Dannelley ◽  
Gyunay Keten
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Forced Convection ◽  
Thermal Performance ◽  
Reynolds Numbers ◽  
Unit Mass ◽  
Thermal Testing ◽  
Sierpinski Carpet ◽  
Fractal Pattern ◽  
Sierpiński Carpet

When certain fractal geometries are used in the design of fins or heat sinks the surface area available for heat transfer can be increased while system mass can be simultaneously decreased. The Sierpinski carpet fractal pattern, when utilized in the design of an extended surface, can provide more effective heat dissipation while simultaneously reducing mass. In order to assess the thermal performance of fractal fins for application in the thermal management of electronic devices an experimental investigation was performed. The first four fractal iterations of the Sierpinski carpet pattern, used in the design of extended surfaces, were examined in a forced convection environment. The thermal performance of the Sierpinski carpet fractal fins was quantified by the following performance metrics: efficiency, effectiveness, and effectiveness per unit mass. The fractal fins were experimentally examined in a thermal testing tunnel for a range of Reynolds numbers. As the Reynolds number increased, the fin efficiency, effectiveness and effectiveness per unit mass were found to decrease. However, as the Reynolds number increased the Nusselt number was found to similarly increase due to higher average heat transfer coefficients. The fourth iteration of the fractal pattern resulted in a 6.73% and 70.97% increase in fin effectiveness and fin effectiveness per unit mass when compared with the zeroth iteration for a Reynolds number of 6.5E3. However, the fourth iteration of the fractal pattern resulted in a 1.93% decrease in fin effectiveness and 57.09% increase in fin effectiveness per unit mass when compared with the zeroth iteration for a Reynolds number of 1.3E4. The contribution of thermal radiation to the rate of heat transfer was as high as 62.90% and 33.69% for Reynolds numbers of 6.5E3 and 1.3E4 respectively.

scholarly journals Antena UHF multifuncional del tipo fractal microstrip basada en la alfombra de Sierpinski

2021 ◽  
Vol 9 (17) ◽  
pp. 4-16
Author(s):  
Pablo Lupera Morillo ◽  
Gary Flores ◽  
Amanda Montaluisa
Keyword(s):  
Wireless Local Area Network ◽  
Local Area Network ◽  
Local Area ◽  
Digital Tv ◽  
Area Network ◽  
Fractal Antenna ◽  
Sierpinski Carpet ◽  
Broadband Wireless ◽  
Rectangular Patch ◽  
Sierpiński Carpet

The use of multifunctional devices increases day by day. Mentioned devices, as smart tv, need appropriate and unified antennas which can meet required frequencies. Therefore, in this paper, a Sierpinski carpet microstrip fractal antenna in the second iteration is designed and fabricated for Digital Tv in UHF band and wireless wideband networks. It was verified that that the design of a fractal antenna based on the Sierpinski carpet is possible from a rectangular patch on iteration 0; however, it must be taken into account that the patch design must be carried out at a specific resonance frequency. Simulation is carried out using ADS simulator, and it was verified using a vector network analyzer. The proposed fractal antenna operates in the UHF digital TV range from 470 MHz to 683 MHz and in the 2.45 GHz to 2.4835 GHz range of broadband wireless local area network.

Microwave Absorption near T c in a Superconducting Al-Oxide Triangular Sierpinski Carpet

1990 ◽  
pp. 273-274
Author(s):  
B. Senning ◽  
J. E. Drumheller ◽  
P. Erhart ◽  
L. Fransioli ◽  
P. Martinoli ◽  
...  
Keyword(s):  
Microwave Absorption ◽  
Sierpinski Carpet ◽  
Sierpiński Carpet ◽  
Al Oxide
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