Thermal Performance of Sierpinski Carpet Fractal Fins at Various Angles of Inclination in a Natural Convection Environment
Term of Award
Master of Science, Mechanical Engineering
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department of Mechanical Engineering
Committee Member 1
Committee Member 2
As technology advances, higher performance cooling systems are desired to meet numerous thermal management challenges. Extended surfaces, also known as heat sinks or fins, are commonly used to passively dissipate unwanted heat from mechanical and electrical systems. Fractal fins in accordance with the first four iterations (including a base iteration) of the Sierpinski carpet, manufactured from AL-5052, were studied along seven different inclinations from 0° (orientated perpendicular to the direction of gravity) to 90° (orientated parallel to the direction of gravity), in iterations of 15°. The purpose of study was to investigate the thermal performance of the first four fractal iterations experienced under various inclinations in a natural convection environment. Efficiency, effectiveness, and effectiveness per unit mass will be used to quantify the thermal performance for each fin. It was found that the angle of inclination did not have a significant impact on performance. The fourth iteration was found to be on average 2.96% more effective and 64.94% more effective per unit mass than a traditional straight rectangular fin with uniform cross-section regardless of inclined position. The fourth iteration was found to be the most effective fin when positioned at 90°. The zeroth iteration had the lowest fin efficiency, effectiveness, and effectiveness per unit mass when positioned at 75°.
Khalil, Haidar J., "Thermal Performance of Sierpinski Carpet Fractal Fins at Various Angles of Inclination in a Natural Convection Environment" (2020).
Research Data and Supplementary Material
Aerospace Engineering Commons, Electrical and Computer Engineering Commons, Heat Transfer, Combustion Commons