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Rectangular Fins

(from Incopera and DeWitt, Introduction to Heat Transfer, 3rd edition)

Width, w

(m)

Length, L

(m)

Thickness, t

(m)

Heat

Transfer

Coefficient

(W/m2K)

Base

Temperature

(C)

Fluid

Temperature

(C)

Thermal

Conductivity

(W/mK)

Density

(kg/m3)

Tip Heat

Transfer

Coefficient

(W/m2K)

Distance at

which

temperature

is desired

(m)

0.3 0.05 5.00E-03 10 400 30 400 8940 1.00E+01 0.05

Perimeter

(m)

Cross

Sectional

Area (m2)

Surface Area

(m2)

m

(m-1

) (x=0)

0.6100 0.0015 0.0320 3.1885 370.0000

Cases

Temperature at

Specified

Distance (C)

Heat Transfer

Rate (W)Efficiency

Thermal

Resistance

(K/W)

Convective Tip 394.9 117.3 0.991 3.154

Adiabatic Tip 395.3 111.9 0.945 3.306p at u

Temperature 30.0 4477.6 37.817 0.083

Input Input Output Output

Inputs

Outputs

Design Analysis

Picture of Rectangular Fin ArrayDrawing of Rectangular Fin

0

50

100

150

200

250

300

350

400

450

Tempertatre(C)

Distance (m)

Con

Adia

Fl ui

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Cylindrical or Pin Fins

(from Incopera and DeWitt, Introduction to Heat Transfer, 3rd edition)

Diameter, D

(m)

Length, L

(m)

Heat Transfer

Coefficient

(W/m2K)

Base

Temperature

(C)

Fluid

Temperature

(C)

Thermal

Conductivity

(W/mK)

Density

(kg/m3)

0 0 0 0 0 0 0

Perimeter

(m)

Cross

Sectional

Area (m2)

Surface Area

(m2)

m (m-

1)

(x=0)

0.0000 0.0000 0.0000 #DIV/0! 0.0000

Cases

Temperature at

Specified

Distance (C)

Heat Transfer

Rate (W)Efficiency

Thermal

Resistance

(K/W)

Convective Tip #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Adiabatic Tip #DIV/0! #DIV/0! #DIV/0! #DIV/0!T p at F u

Temperature #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Input Input Output Output

Required Heat

Transfer

(W)

Bare SurfaceArea

(m2)

Number of FinsMass of Fin

Array (kg)

400 1 #DIV/0! #DIV/0! #DIV/0!

Inputs

Outputs

Design Analysis

Drawing of Cylindrical Fin

0

0

0

0

0

1

1

1

1

1

1

Tempertatre(C)

Do No

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Tip HeatTransfer

Coefficient

(W/m2K)

Distance atwhich

temperature is

desired

(m)

0 0

#DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

Picture of Cylindrical Fin Array

Distance (m)

ConvectiveT ip

Adiabatic Tip

Fluid Temperature Tip

t Use this Area

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#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

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Density

(kg/m3)

Distance atwhich

temperature is

desired

(m)

0 0

###### #DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

Picture of Triangular Fin Array

Distance (m)

Use this Area

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#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

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Annular Fins

(from Incopera and DeWitt, Introduction to Heat Transfer, 3rd edition)

Inner Radius, r1(m)

Outer Radius,

r2(m)Thickness, t

(m)

HeatTransfer

Coefficient

(W/m2K)

Base

Temperature

(C)

Fluid

Temperature

(C)

Thermal

Conductivity

(W/mK)

0 0 0 0 0 0 0

Perimeter at

Base (m)

Cross

Sectional

Area at Base

(m2)

Surface Area

(m2)

m

(m-1

) (x=0)

0.0000 0.000E+00 0.0000 #DIV/0! 0.0

CasesHeat Transfer

Rate (W)Efficiency

Thermal

Resistance

(K/W)

Temperature

at Specified

Distance (C)

Convective Tip #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Adiabatic Tip #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!T p at F u

Temperature #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Input Input Output OutputRequired Heat

Transfer

(W)

Bare Surface

Area

(m2)

Number of Fins

Mass of Fin

Array

(kg)

50 0.05 #DIV/0! #DIV/0! #DIV/0!

Outputs

Design Analysis

Drawing of Annular Fin

Inputs

20

30

40

50

6070

80

90

100

0.0100

Temperature(C)

Do N

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Density

(kg/m3)

Distance atwhich

temperature is

desired

(m)

Tip HeatTransfer

Coefficient

(W/m2K)

0 0 0

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

Picture of Annular Fin Array

.0150 0.0200 0.0250

adial Position (m)

Convective TipAdiabtic Tip

Fluid Temperature Tip

t Use this Area

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#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!

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Parabolic Fins

(from Incopera and DeWitt, Introduction to Heat Transfer, 3rd edition)

Width, w (m)Length, L

(m)

Thickness at

Base, t

(m)

HeatTransfer

Coefficient

(W/m2K)

Base

Temperature

(C)

Fluid

Temperature

(C)

Thermal

Conductivity

(W/mK)

0 0 0 0 0 0 0

Perimeter at

Base (m)

Cross

Sectional

Area at Base

(m2)

Surface Area

(m2)

m

(m-1

) (x=0)

0.0000 0.0000 #DIV/0! #DIV/0! 0.0000

Temperature at

Specified Distance

(C)

Heat Transfer

Rate (W)Efficiency

Thermal

Resistance

(K/W)

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

Input Input Output Output

Required Heat

Transfer

(W)

Bare Surface

Area

(m2

)

Number of Fins

Mass of Fin

Array

(kg)400 0.1 #DIV/0! #DIV/0! #DIV/0!

Inputs

Outputs

Design Analysis

Drawing of Parabolic Fin

0

0

0

0

0

11

1

1

1

1

Tempertatre(C)

Do Not

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Density

(kg/m3)

Distance atwhich

temperature is

desired

(m)

0 0

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

Distance (m)

Use this Area

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#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!