Consider an aluminum heat sink (k =240 W/m-K), where the inner and outer widths of the square channel are w =20 mm and W =40 mm, respectively, and an outer surface temperature of T = 56°C is maintained by the array of electronic chips. The inner surface temperature is not known, but the conditions ( Th) associated with coolant flow through the channel are, and we wish to determine the rate of heat transfer to the coolant per unit length of channel. For this purpose, consider a symmetrical section of the channel and a two-dimensional grid with Ax = Ay =5 mm. Heat sink, k TA -T, Th T2 •Ts T3 T -Coolant, T, h For T =20°C and h =5000 W/m².K, determine the unknown temperatures, T1,., T7, all in °C, and the rate of heat transfer per unit length of channel, q', in W/m.

Consider an aluminum heat sink (k =240 W/m-K), where the inner and outer widths of the square channel are w =20 mm and W =40 mm, respectively, and an outer surface temperature of T = 56°C is maintained by the array of electronic chips. The inner surface temperature is not known, but the conditions ( Th) associated with coolant flow through the channel are, and we wish to determine the rate of heat transfer to the coolant per unit length of channel. For this purpose, consider a symmetrical section of the channel and a two-dimensional grid with Ax = Ay =5 mm. Heat sink, k TA -T, Th T2 •Ts T3 T -Coolant, T, h For T =20°C and h =5000 W/m².K, determine the unknown temperatures, T1,., T7, all in °C, and the rate of heat transfer per unit length of channel, q', in W/m.

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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