Assuming the rate of heat transfer to be correctly modeled with an adiabatic fin tip BC,...
Assuming the rate of heat transfer to be correctly modeled with an adiabatic fin tip BC, what is the % error if the rate of heat transfer is determined using an infinitely long fin BC? The cylindrical fin measures 20 cm long and has a radius of 0.15 cm. Take k = 200 W/m·K and h = 10 W/m2·K.
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Assuming the rate of heat transfer to be correctly modeled with
an adiabatic fin tip BC,...
Problem 2 A 4 mm diameter and 20 cm long aluminum fin (k 240 W/m-K) is...
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
2. A hot surface at 120°C is cooled by attaching a 6-cm-long, 0.6-cm-diameter pin fin (k...
2. A hot surface at 120°C is cooled by attaching a 6-cm-long, 0.6-cm-diameter pin fin (k 220 W/m K, a 97.1 x 10 m2/s). The temperature of the surrounding air is 15°C, and the heat transfer coefficient on the fin surface is 30 W/m2 K. Assuming one-dimensional heat conduction along the fin, an adiabatic tip, and taking the nodal spacing to be Ax 3 cm, determine the tip temperature.
A very long cylindrical copper fin is dissipating 0.9 W of heat. It was found that...
A very long cylindrical copper fin is dissipating 0.9 W of heat. It was found that the length of the fin is too difficult to accommodate due to space limitations. Therefore, the length of the fin was shortened such that new heat transfer rate is 0.81 W. However, the shortened fin tip has heat loss due to convection and the end will not be insulated. 2.1 Determine the length of the fin without doing fin tip correction (without correcting the...
Cylindrical pin fins are used to increase the heat transfer from a flat plate of 100...
Cylindrical pin fins are used to increase the heat transfer from a flat plate of 100 mm × 100 mm. Four hundred fins are added to the plate. Each fin is 10-mm long, has a diameter of 2 mm, a thermal conductivity of 180 W/m∙K, and a fin efficiency of 90%. The plate is at Tb = 85°C and the ambient temperature is T∞ = 20°C. Convection occurs at the fin tips, and the convection heat transfer coefficient for the...
1) An aluminum fin is attached to a warm surface at a steady temperature Tb. The...
1) An aluminum fin is attached to a warm surface at a steady temperature Tb. The fin is 8mm in diameter and 130mm in length, and is exposed to air at a constant temperature Tamb with a convection coefficient of 15 Determine the percent error in the rate of heat transfer when the infinitely long fin assumption is used instead of the adiabatic fin tip assumption. (20 points)
Consider a horizontal 6-mm –thick, 100- mm long straight fin fabricated from steel (k = 57,...
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...
Consider a rectangular fin (k = 180 W/m-K) of length L =10 mm, thickness i =1...
Consider a rectangular fin (k = 180 W/m-K) of length L =10 mm, thickness i =1 mm, and width w» t. The base temperature of the finis Ty = 150°C, and the finis exposed to a fluid of temperature T, =25°C. Assuming a uniform convection coefficient of h = 110 W/m2.K over the entire fin surface, determine the fin heat transfer rate per unit width 4; efficiency ng: effectiveness es, thermal resistance per unit width and the tip temperature T...
a rectangular fin (k= 235w/m*K) is attached to a wall and has a length of 5...
a rectangular fin (k= 235w/m*K) is attached to a wall and has a length of 5 cm, a width of 10 cm, and a thickness of 5 mm. the surface temperature of the wall is 350 degrees Celcius and the ambient air is 25 degrees celcius. what is the efficiency, the heat transfer rate, and the fin effectiveness? assume an adiabatic fin tip condition and a convection heat transfer coefficient of 154 W/m^2 * K
A copper pin fin 2.5 mm in diameter protrudes from a wall at 100°C into air...
A copper pin fin 2.5 mm in diameter protrudes from a wall at 100°C into air at 28°C. ( k=396 W/m-K.) The heat transfer is mainly by natural convection with a heat transfer coefficient of 12 W/m2×K. Calculate heat losses from the fin assuming the fin is infinitely long. If there is an array of 10 copper pin fins, how much power do they dissipate?
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
2. A hot surface at 120°C is cooled by attaching a 6-cm-long, 0.6-cm-diameter pin fin (k 220 W/m K, a 97.1 x 10 m2/s). The temperature of the surrounding air is 15°C, and the heat transfer coefficient on the fin surface is 30 W/m2 K. Assuming one-dimensional heat conduction along the fin, an adiabatic tip, and taking the nodal spacing to be Ax 3 cm, determine the tip temperature.
A very long cylindrical copper fin is dissipating 0.9 W of heat. It was found that the length of the fin is too difficult to accommodate due to space limitations. Therefore, the length of the fin was shortened such that new heat transfer rate is 0.81 W. However, the shortened fin tip has heat loss due to convection and the end will not be insulated. 2.1 Determine the length of the fin without doing fin tip correction (without correcting the...
1) An aluminum fin is attached to a warm surface at a steady temperature Tb. The fin is 8mm in diameter and 130mm in length, and is exposed to air at a constant temperature Tamb with a convection coefficient of 15 Determine the percent error in the rate of heat transfer when the infinitely long fin assumption is used instead of the adiabatic fin tip assumption. (20 points)
Consider a rectangular fin (k = 180 W/m-K) of length L =10 mm, thickness i =1 mm, and width w» t. The base temperature of the finis Ty = 150°C, and the finis exposed to a fluid of temperature T, =25°C. Assuming a uniform convection coefficient of h = 110 W/m2.K over the entire fin surface, determine the fin heat transfer rate per unit width 4; efficiency ng: effectiveness es, thermal resistance per unit width and the tip temperature T...
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