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Mathematical Extrapolating of Highly Efficient Fin Systems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-25
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Different high-performance fins are mathematically analyzed in this work.
Initially, three types are considered: (i) exponential, (ii) parabolic, and (iii) triangular fins.
Analytical solutions are obtained.
Accordingly, the effective thermal efficiency and the effective volumetric heat dissipation rate are calculated.
The analytical results were validated against numerical solutions.
It is found that the triangular fin has the maximum effective thermal length.
In addition, the exponential pin fin is found to have the largest effective thermal efficiency.
However, the effective efficiency for the straight one is the maximum when its effective thermal length based on profile area is greater than 1.4.
Furthermore, the exponential straight fin is found to have effective volumetric heat dissipation that can be 440% and 580% above the parabolic and triangular straight fins, respectively.
In contrast, the exponential pin fin is found to possess effective volumetric heat dissipation that can be 120% and 132% above the parabolic and triangular pin fins, respectively.
Finally, new high performance fins are mathematically generated that can have effective volumetric heat dissipation of 24% and 12% above those of exponential pin and straight fins, respectively.
American Psychological Association (APA)
Khaled, A.-R. A.. 2011. Mathematical Extrapolating of Highly Efficient Fin Systems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-507313
Modern Language Association (MLA)
Khaled, A.-R. A.. Mathematical Extrapolating of Highly Efficient Fin Systems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-507313
American Medical Association (AMA)
Khaled, A.-R. A.. Mathematical Extrapolating of Highly Efficient Fin Systems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-507313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507313