2. A hot surface at 120°C is cooled by attaching a 6-cm-long, 0.6-cm-diameter pin fin (k...
please show all work, thanks 2. A hot surface at 100 °C needs to be cooled by attaching one 3-cm long, 0.25-cm-diameter pin (circular cross-section) fins with k =237 W/mK. The ambient air at a temperature of 30 °C, and there is a cross flow to the pins, of 1 m/s (air velocity). The fin is INSULATED at the end. a (15%). What is the heat transfer rate for one fin? b (15%). What is the temperature at the tip?
Problem 1 (20 marks): A 1-m x 1-m surface at 100 °C is to be cooled by attaching to it 5-cm long, 0.25- cm-thick square aluminum fins (k = 237 W/m- K), with an edge-to-edge distance between the fins of 0.25 cm. The temperature of the fin tip is the same as surrounding medium at 30°C, und the heat transfer coefficient on the surfaces is 35 W/m2 K. Determine: temperature at distance of 2 cm away from the base the...
One end of a long rod 3 cm in diameter is inserted into a furnace with the (3 outer end projecting into the outside air. Once the steady state is reached the temperature of the rod is measured at two points, 15 cm apart and found to be 140°C and 100°C, when the atmospheric air is at 30°C with convection coefficient of 20 W/m2.K. Calculate the thermal conductivity of *.the rod material Consider a stainless steel spoon(k = 15.1 W/m.K), partially...
Problem 2 A 4 mm diameter and 20 cm long aluminum fin (k 240 W/m-K) is attached to a surface. If the heat transfer coefficient is 12 W/m2 K, determine the percent error in the rate of heat transfer from the fin when the infiniely long fin assumption is used nstead of the adiabatic fin tip assumption. D-4 mm L- 10 cm Fig. 2 fin
Consider a horizontal 6-mm –thick, 100- mm long straight fin fabricated from steel (k = 57, W/m. K, = 0.5). The base temperature of the fin is 150 OC, while the quiescent air and the surrounding are at 25C. Assume the fin tip is adiabatic and assume the average fin surface temperature is = 125 C : a) Draw a clear schematic for the system. b) Estimate the free convection heat transfer coefficient. c) Check this assumption of...
A 5-cm-diameter shaft rotates at 4500 rpm in a 15-cm long, 8-cm-outer-diameter cast iron bearing (k =70 W/m.K) with a uniform clearance of 0.6 mm filled wwith tubricating oil (u 0.03 N.s/m2 and k 0.14 W/m.K). The bearing is cooled externally by a liquid, and its outer surface is maintained at 40°C. Disregarding heat conduction through the shaft and assuming one- dimensional heat transfer, determine (a) the rate of heat transfer to the coolant, (b) the sutacs temperature of the...
4. A silicon chip is attached with a copper pin fin in order to enhance the heat transfer. The square shape silicon chip has a width of W=10 mm on each side. The length and diameter of the copper pin are L=20 mm and D=4 mm, respectively. During the operation, the surface of the chip, as well as the base of the pin, are maintained at the temperature of To=375 K. The thermal conductivity of the copper pin fin is...
4. A silicon chip is attached with a copper pin fin in order to enhance the heat transfer. The square shape silicon chip has a width of W=10 mm on each side. The length and diameter of the copper pin are L=20 mm and D=4 mm, respectively. During the operation, the surface of the chip, as well as the base of the pin, are maintained at the temperature of To=375 K. The thermal conductivity of the copper pin fin is...
4. A silicon chip is attached with a copper pin fin in order to enhance the heat transfer. The square shape silicon chip has a width of W=10 mm on each side. The length and diameter of the copper pin are L=20 mm and D=4 mm, respectively. During the operation, the surface of the chip, as well as the base of the pin, are maintained at the temperature of To=375 K. The thermal conductivity of the copper pin fin is...
3.7 The height and diameter of a pin fin made of 3003 aluminum are 2.3 cm and 0.35 cm, respectively. A fin- base temperature of 65°C is maintained while 10°C air flows around the pin fin, producing a heat-transfer coef- fieient of 35 W/m2·K. Find the heat transfer from the fin.