1. Determine the heat flow for (i) rectangular fins and (ii) triangular fin of 20 mm length and 3 mm base thickness. Thermal conductivity = 45 W/m K. Convection coefficient h= 100 W/m2K, base temperature = 120°C surrounding fluid temperature = 35°C. Determine also the fin effectiveness.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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1. Determine the heat flow for (i) rectangular fins and (ii) triangular fin of 20 mm length
and 3 mm base thickness. Thermal conductivity
100 W/m2K, base temperature = 120°C surrounding fluid temperature = 35°C. Determine
also the fin effectiveness.
2. A circumferential fin on a pipe of 50 mm OD is 3 mm thick and 20 mm long. Using the
property values and other parameters in 1, determine the:
= 45 W/m K. Convection coefficient h=
(i)
heat flow and effectiveness
(ii)
If the pitch is 10 mm, determine the increase in heat flow for 1 m length of pipe. Also
determine the total efficiency.
Circumferential rectangular fin
Rectangular and Triangular fins
100
100
80
80
2c
60
* 60
40
40
20
0.5
1.0
1.5
2.0
2.5
3.0
0.5
1.0
1.5
2.0
2.5
3.0
0.5
h
0.5
h
kAP
1.5
1.5
L
RAP
Le = L+
A, = t(r2 - r) A, = 2M(r2,² – r,³)
L =L+
"2, = r, + L
Rectangular fin
A, = tL,
L = L
A, = 2L, (Depth
Triangular fin
A, = L
20
Fin efficiency, %
Transcribed Image Text:1. Determine the heat flow for (i) rectangular fins and (ii) triangular fin of 20 mm length and 3 mm base thickness. Thermal conductivity 100 W/m2K, base temperature = 120°C surrounding fluid temperature = 35°C. Determine also the fin effectiveness. 2. A circumferential fin on a pipe of 50 mm OD is 3 mm thick and 20 mm long. Using the property values and other parameters in 1, determine the: = 45 W/m K. Convection coefficient h= (i) heat flow and effectiveness (ii) If the pitch is 10 mm, determine the increase in heat flow for 1 m length of pipe. Also determine the total efficiency. Circumferential rectangular fin Rectangular and Triangular fins 100 100 80 80 2c 60 * 60 40 40 20 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 0.5 h 0.5 h kAP 1.5 1.5 L RAP Le = L+ A, = t(r2 - r) A, = 2M(r2,² – r,³) L =L+ "2, = r, + L Rectangular fin A, = tL, L = L A, = 2L, (Depth Triangular fin A, = L 20 Fin efficiency, %
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