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Enhancement of natural convection heat transfer from a fin by triangular perforation of bases parallel and toward its tip

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Abstract

This study examines the heat transfer enhancement from a horizontal rectangular fin embedded with triangular perforations (their bases parallel and toward the fin tip) under natural convection. The fin’s heat dissipation rate is compared to that of an equivalent solid one. The parameters considered are geometrical dimensions and thermal properties of the fin and the perforations. The gain in the heat transfer enhancement and the fin weight reduction due to the perforations are considered. The study shows that the heat dissipation from the perforated fin for a certain range of triangular perforation dimensions and spaces between perforations result in improvement in the heat transfer over the equivalent solid fin. The heat transfer enhancement of the perforated fin increases as the fin thermal conductivity and its thickness are increased.

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Abbreviations

A :

cross sectional area of the fin

A c :

cross sectional area of the perforation

Bi :

Biot number

b :

triangular perforation dimension

h :

heat transfer coefficient

k :

thermal conductivity of fin material

L :

fin length

l :

unit vector

L c :

characteristic length

N :

number of perforations

Ne :

total number of finite elements of the perforated fin

N f :

number of finite elements in one of the uniform regions (A or C)

N n :

total number of nodes

N t :

number of finite elements in the tapered region (B)

Nu :

average Nusselt number

Nu c :

average Nusselt number of the inner perforation surface

OA :

open area of the perforated surface

Q :

heat transfer rate

Ra :

Rayleigh number

Ra c :

Rayleigh number of the perforation inner lining surface

ROA :

ratio of the open area

RQF :

ratio of the heat dissipation rate of the perforated fin to that of the non-perforated fin

RWF :

ratio of the perforated fin weight to that of the solid fin (ratio of weight reduction)

S :

perforation spacing

T :

temperature

t :

fin thickness

W :

fin width

W pf :

perforated fin weight

W sf :

solid fin weight

b:

fin base

l:

lower surface of the fin

max:

maximum

pc:

perforation inner surface (within the perforation)

pf:

perforated fin

ps:

perforated surface or the remaining solid portion of the perforated fin

sf:

solid (non-perforated) fin

ss:

solid surface

t:

fin tip

u:

upper surface of fin

x :

longitudinal direction or coordinate

y :

transverse (lateral) direction with the fin width or coordinate

z :

transverse (lateral) direction with the fin thickness or coordinate

∞:

ambient

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Author information

Authors and Affiliations

  1. Al-Balqa Applied University, Al-Husn University College, Al-Husn, Irbid, Jordan

    Abdullah H. AlEssa

  2. College of Engineering, Jordan University of Science and Technology, P. O. Box 3030, Irbid, 22110, Jordan

    Mohamad I. Al-Widyan

Authors
  1. Abdullah H. AlEssa
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  2. Mohamad I. Al-Widyan
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Corresponding author

Correspondence to Abdullah H. AlEssa.

Additional information

Communicated by LIN Jian-zhong

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AlEssa, A.H., Al-Widyan, M.I. Enhancement of natural convection heat transfer from a fin by triangular perforation of bases parallel and toward its tip. Appl. Math. Mech.-Engl. Ed. 29, 1033–1044 (2008). https://doi.org/10.1007/s10483-008-0807-x

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  • DOI: https://doi.org/10.1007/s10483-008-0807-x

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