3. The engine of a motorcycle consists of a metal cylinder with a heat conduction coefficient equal to k = 186 W/m.K. The cylinder has a height of H = 0.15 m and an outside diameter of D = 150 mm. Under typical operating conditions the outer surface of the cylinder is at a temperature of 500 K and exposed to ambient air at 300 K and a convection coefficient of 50 W/m? .K. circumferential fins with a rectangular cross section are applied to increase the heat transfer rate to the surroundings. Consider five such fins, which are equally spaced and have a thickness of t = 6 mm and a length of L= 20 mm. Because the cylinder diameter is relatively large compared to the length of the fins, the fins may supposed to be straight with an equivalent width equal to the perimeter of the cylinder. a) Calculate the efficiency of the rectangular fins. b) Calculate the convection heat transfer rate using fins. c) What is the increase in heat transfer rate by using fins? d) Is a value of 50 W/m? .K for the convection heat transfer coefficient realistic if assumed that the cylinder is freely exposed to the surroundings at a cruising
3. The engine of a motorcycle consists of a metal cylinder with a heat conduction coefficient equal to k = 186 W/m.K. The cylinder has a height of H = 0.15 m and an outside diameter of D = 150 mm. Under typical operating conditions the outer surface of the cylinder is at a temperature of 500 K and exposed to ambient air at 300 K and a convection coefficient of 50 W/m? .K. circumferential fins with a rectangular cross section are applied to increase the heat transfer rate to the surroundings. Consider five such fins, which are equally spaced and have a thickness of t = 6 mm and a length of L= 20 mm. Because the cylinder diameter is relatively large compared to the length of the fins, the fins may supposed to be straight with an equivalent width equal to the perimeter of the cylinder. a) Calculate the efficiency of the rectangular fins. b) Calculate the convection heat transfer rate using fins. c) What is the increase in heat transfer rate by using fins? d) Is a value of 50 W/m? .K for the convection heat transfer coefficient realistic if assumed that the cylinder is freely exposed to the surroundings at a cruising
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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Heat Transfer - Fins
See attached. Please assist.
Transcribed Image Text:3. The engine of a motorcycle consists of a metal cylinder with a heat conduction
coefficient equal to k = 186 W/m.K. The cylinder has a height of H = 0.15 m and an
outside diameter of D = 150 mm. Under typical operating conditions the outer surface
of the cylinder is at a temperature of 500 K and exposed to ambient air at 300 K and a
convection coefficient of 50 W/m? .K. circumferential fins with a rectangular cross
section are applied to increase the heat transfer rate to the surroundings. Consider five
such fins, which are equally spaced and have a thickness of t = 6 mm and a length of
L = 20 mm. Because the cylinder diameter is relatively large compared to the length of
the fins, the fins may supposed to be straight with an equivalent width equal to the
perimeter of the cylinder.
a) Calculate the efficiency of the rectangular fins.
b) Calculate the convection heat transfer rate using fins.
c) What is the increase in heat transfer rate by using fins?
d) Is a value of 50 W/m? .K for the convection heat transfer coefficient realistic if
assumed that the cylinder is freely exposed to the surroundings at a cruising
speed of 100 km/h.
T, = 500 K
t= 6 m
H = 0.15 m
Air. T. = 300 K
!!
h = 50 W/m K
R=75 mm
L=20 mm
Ry=95 mm
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