A new design of fin has been conceived, which is in the shape of a semicircular strip. A step-by-step straightforward detailed derivation of the governing equations for two-dimensional temperature distribution in a semicircular fin has been presented, assuming a third degree polynomial. Numerical results are presented to illustrate the effects of pipe size and the number of semicircular fins on the thermal performance of the fin. It has been shown mathematically that the efficiency of a semicircular fin can be greater than that of a circular fin, having same total volume of fin material when employed over the circumference of a circular pipe.

1.
Razelos
,
P.
, 2003, “
A Critical Review of Extended Surface Heat Transfer
,”
Heat Transfer Eng.
0145-7632,
24
(
6
), pp.
11
28
.
2.
Hashizume
,
K.
,
Matsue
,
T.
, and
Koyama
,
T.
, 2000, “
Fin Efficiency of Serrated Fins: Part 1 Analysis of Theoretical Fin Efficiency and Experimental Results
,”
Heat Transfer Asian Res.
1099-2871,
28
(
6
), pp.
528
540
.
3.
Antar
,
M. A.
, 2001, “
Steady and Transient Numerical Analysis of the Performance of Annular Fins
,”
Int. J. Energy Res.
0363-907X,
25
(
13
), pp.
1197
1206
.
4.
Aziz
,
A.
, 2005, “
Heat Transfer in an Annular Fin With Coordinate Dependent Thermal Conductivity
,”
ASME International Mechanical Engineering Congress and Exposition
, Orlando, FL November.
5.
Kundu
,
B.
, and
Das
,
P. K.
, 1999, “
Performance Analysis of Eccentric Annular Fins With a Variable Base Temperature
,”
Numer. Heat Transfer, Part A
1040-7782,
36
(
7
), pp.
751
766
.
6.
Hanin
,
L.
, 2005, “
Efficiency of a New Straight Cooling Fin
,”
ASME Summer 2005 Heat Transfer Conference
, San Francisco, CA, July.
7.
Kundu
,
B.
, and
Das
,
P. K.
, 2000, “
Approximate Techniques for the Performance Analysis and Optimization of Two-Dimensional Plate Fins Circumscribing Circular Tubes Plate
,”
Heat Transfer Eng.
0145-7632,
21
(
2
), pp.
19
28
.
8.
Razelos
,
P.
, and
Krikkis
,
R. N.
, 2003, “
The Optimum Design of Radiating and Convective-Radiating Circular Fins
,”
Heat Transfer Eng.
0145-7632,
24
(
3
), pp.
17
41
.
9.
Marin
,
L.
,
Elliot
,
L.
,
Heggs
,
P. J.
,
Ingham
,
D. B.
,
Lesnic
,
D.
, and
Wen
,
X.
, 2005, “
Two-Dimensional Thermal Analysis of a Polygonal Fin With Two Tubes on a Square Pitch
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
3018
3033
.
10.
Kundu
,
B.
, and
Das
,
P. K.
, 2007, “
Performance Analysis and Optimization of Elliptic Fins Circumscribing a Circular Tube
,”
Int. J. Heat Mass Transfer
0017-9310,
50
, pp.
173
180
.
11.
Bouaziz
,
N.
, 2009, “
Fin Efficiency in 2D With Convection at the Tip and Dissymmetry of Exchange
,”
Energy Convers. Manage.
0196-8904,
50
, pp.
1618
1624
.
12.
Li
,
Z.
,
Davidson
,
J. H.
, and
Mantell
,
S. C.
, 2004, “
Heat Transfer Enhancement Using Shaped Polymer Tubes: Fin Analysis
,”
ASME J. Heat Transfer
0022-1481,
126
, pp.
211
218
.
13.
Sommers
,
A. D.
, and
Jacobi
,
A. M.
, 2006, “
An Exact Solution to Steady Heat Conduction in a Two-Dimensional Annulus on a One-Dimensional Fin: Application to Frosted Heat Exchangers With Round Tubes
,”
ASME J. Heat Transfer
0022-1481,
128
, pp.
397
404
.
14.
Tu
,
P.
,
Inaba
,
H.
,
Horibe
,
A.
,
Li
Z.
, and
Haruki
,
N.
, 2006, “
Fin Efficiency of an Annular Fin Composed of a Substrate Metallic Fin and a Coating Layer
,”
ASME J. Heat Transfer
0022-1481,
128
, pp.
851
854
.
15.
Khaled
,
A. R. A.
, 2008, “
Heat Transfer Analysis Through Solar and Rooted Fins
,”
ASME J. Heat Transfer
0022-1481,
130
, p.
074503
.
16.
Zubair
,
S. M.
,
Arif
,
A. F. M.
, and
Sharqay
,
M. H.
, 2010, “
Thermal Analysis and Optimization of Orthotropic Pin Fins: A Closed From Analytical Solution
,”
ASME J. Heat Transfer
0022-1481,
132
, p.
031301
.
17.
Sirkar
,
A.
, 2004, Indian Patent No. 191448.
18.
Incropera
,
F. P.
, and
Dewitt
D. P.
, 1996,
Fundamentals of Heat and Mass Transfer
,
4th ed.
,
Wiley
,
New York
.
19.
Kraus
,
A. D.
,
Aziz
,
A.
, and
Welty
,
J.
, 2001,
Extended Surface Heat Transfer
,
Wiley
,
New York
.
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