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Q1 A diagram of a heat sink to be used in an electronic application is shown below. There are a total of 9 aluminium fins (k = 175 W/m K, C = 900 J/kg K, p= 2700kg/ m') of rectangular cross-section, cach 60 mm long, 40 mm wide and 1 mm thick. The spacing between adjacent fins, s, is 3 mm. The temperature of the base of the heat sink has a maximum design value of T, = 60°C, when the external air temperature T, is 20°C. Under these conditions, the extemal heat transfer coefficient h is 12 W/m K. The fin may be assumed to be sufficiently thin so that the heat transfer from the tip can be neglected. The surface temperature T, at a distance, x, from the base of the fin is given by: al

Q1 A diagram of a heat sink to be used in an electronic application is shown below. There are a total of 9 aluminium fins (k = 175 W/m K, C = 900 J/kg K, p= 2700kg/ m') of rectangular cross-section, cach 60 mm long, 40 mm wide and 1 mm thick. The spacing between adjacent fins, s, is 3 mm. The temperature of the base of the heat sink has a maximum design value of T, = 60°C, when the external air temperature T, is 20°C. Under these conditions, the extemal heat transfer coefficient h is 12 W/m K. The fin may be assumed to be sufficiently thin so that the heat transfer from the tip can be neglected. The surface temperature T, at a distance, x, from the base of the fin is given by: al

Elements Of Electromagnetics
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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uo 9:EV * ASIACELL l. Quize-1.pdf A diagram of a heat sink to be used in an electronic application is shown below. There are a total of 9 aluminium fins (k = 175 W/m K, C 900 J/kg K, p= 2700kg/ m') of rectangular cross-section, each 60 mm long, 40 mm wide and 1 mm thick. The spacing between adjacent fins, s, is 3 mm. The temperature of the base of the heat sink has a maximum design value of T, = 60°C, when the external air temperature T, is 20°C. Under these conditions, the extemal heat transfer coefficient h is 12 W/m K. The fin may be assumed to be sufficiently thin so that the heat transfer from the tip can be neglected. The surface temperature T, at a distance, x, from the base of the fin is given by: (T, -T, )cosh m(L-x) hP and A, is the cross sectional area. kA T-T, = where m? = sinh mL Determine the total convective heat transfer from the heat sink, the fin effectiveness and the fin efficiency. 40 mm 1 mm T, = 20°C h=12 W/mK 3 mm T, = 60°C N = 9 fins K = 175 W/m K 50 mm
Transcribed Image Text:uo 9:EV * ASIACELL l. Quize-1.pdf A diagram of a heat sink to be used in an electronic application is shown below. There are a total of 9 aluminium fins (k = 175 W/m K, C 900 J/kg K, p= 2700kg/ m') of rectangular cross-section, each 60 mm long, 40 mm wide and 1 mm thick. The spacing between adjacent fins, s, is 3 mm. The temperature of the base of the heat sink has a maximum design value of T, = 60°C, when the external air temperature T, is 20°C. Under these conditions, the extemal heat transfer coefficient h is 12 W/m K. The fin may be assumed to be sufficiently thin so that the heat transfer from the tip can be neglected. The surface temperature T, at a distance, x, from the base of the fin is given by: (T, -T, )cosh m(L-x) hP and A, is the cross sectional area. kA T-T, = where m? = sinh mL Determine the total convective heat transfer from the heat sink, the fin effectiveness and the fin efficiency. 40 mm 1 mm T, = 20°C h=12 W/mK 3 mm T, = 60°C N = 9 fins K = 175 W/m K 50 mm
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