i need the answer quickly EXAMPLE 2.6 An experimental device that produces excess heat is passively cooled. The addi-tion of pin fins to the casing of this device is being considered to augment the rateof cooling. Consider a copper pin fin 0.25 cm in diameter that protrudes from awall at 95°C into ambient air at 25°C as shown in Fig. 2.19. The heat transfer is4, to air at 25°C0.25 cmWall at 95°CFIGURE 2.19 Copper pin fin forExample 2.6.mainly by natural convection with a coefficient equal to 10 W/m² K. Calculate theheat loss, assuming that (a) the fin is "infinitely long" and (b) the fin is 2.5 cm longand the coefficient at the end is the same as around the circumference. Finally,(c) how long would the fin have to be for the infinitely long solution to be correctwithin 5%?

Given data:-diameter of fin, d=0.25cm=0.0025mwall temperature, T0=95°C=368KAmbient temperature,…

MPLE 2.6 An experimental device that produces excess heat is passively cooled. The addi- tion of pin fins to the casing of this device is being considered to augment the rate of cooling. Consider a copper pin fin 0.25 cm in diameter that protrudes from a wall at 95°C into ambient air at 25°C as shown in Fig. 2.19. The heat transfer is 9, to air at 25°C 0.25 cm Wall at 95°C FIGURE 2.19 Copper pin fin for Example 2.6. mainly by natural convection with a coefficient equal to 10 W/m2 K. Calculate the heat loss, assuming that (a) the fin is "infinitely long" and (b) the fin is 2.5 cm long and the coefficient at the end is the same as around the circumference. Finally, (c) how long would the fin have to be for the infinitely long solution to be correct within 5%?

MPLE 2.6 An experimental device that produces excess heat is passively cooled. The addi- tion of pin fins to the casing of this device is being considered to augment the rate of cooling. Consider a copper pin fin 0.25 cm in diameter that protrudes from a wall at 95°C into ambient air at 25°C as shown in Fig. 2.19. The heat transfer is 9, to air at 25°C 0.25 cm Wall at 95°C FIGURE 2.19 Copper pin fin for Example 2.6. mainly by natural convection with a coefficient equal to 10 W/m2 K. Calculate the heat loss, assuming that (a) the fin is "infinitely long" and (b) the fin is 2.5 cm long and the coefficient at the end is the same as around the circumference. Finally, (c) how long would the fin have to be for the infinitely long solution to be correct within 5%?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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i need the answer quickly

EXAMPLE 2.6 An experimental device that produces excess heat is passively cooled. The addi-
tion of pin fins to the casing of this device is being considered to augment the rate
of cooling. Consider a copper pin fin 0.25 cm in diameter that protrudes from a
wall at 95°C into ambient air at 25°C as shown in Fig. 2.19. The heat transfer is
4, to air at 25°C
0.25 cm
Wall at 95°C
FIGURE 2.19 Copper pin fin for
Example 2.6.
mainly by natural convection with a coefficient equal to 10 W/m² K. Calculate the
heat loss, assuming that (a) the fin is "infinitely long" and (b) the fin is 2.5 cm long
and the coefficient at the end is the same as around the circumference. Finally,
(c) how long would the fin have to be for the infinitely long solution to be correct
within 5%?

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