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 and write your
comments. (please check the
value)
d) Write the equation and its number to be used to calculate the
fin heat transfer rate when the fin tip is adiabatic. Assume W = 50
cm, calculate this rate.
Homework Answers
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Consider a horizontal 6-mm –thick, 100- mm long
straight fin fabricated from steel (k = 57,...
Problem 66 2 65 A rectangular fin of type 347 stainless steel is 1 mm thick, 8 mm wide. and 30 mm long. Base temperatur...
Problem 66
2 65 A rectangular fin of type 347 stainless steel is 1 mm thick, 8 mm wide. and 30 mm long. Base temperature is 240°C, and the surrounding air is at 20°C, with hoe ะไ4 W/m" . K. Estimate (a) the tip temperature, (b) the efficiency, and (c) the total heat transfer. 2.66 Repeat Problem 2.65 if the fin is 2024T6 aluminum.
2 65 A rectangular fin of type 347 stainless steel is 1 mm thick, 8 mm...
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...
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
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 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...
please show derivation of the nodal equations and how to create the graphs. A straight fin...
please show derivation of the nodal equations and how to create
the graphs.
A straight fin of uniform cross section is fabricated from a material of thermal conductivity 50 W/m*K, thickness w 6mm, and length L-48mm, and is very long in the direction normal to the page. The convection heat transfer coefficient is 500 W/m2 *K with the ambient air temperature of T-30C. The base of the fin is maintained at Tb = 100C, while the fin tip is will...
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.
4. A silicon chip is attached with a copper pin fin in order to enhance 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...
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...
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...
Problem 66
2 65 A rectangular fin of type 347 stainless steel is 1 mm thick, 8 mm wide. and 30 mm long. Base temperature is 240°C, and the surrounding air is at 20°C, with hoe ะไ4 W/m" . K. Estimate (a) the tip temperature, (b) the efficiency, and (c) the total heat transfer. 2.66 Repeat Problem 2.65 if the fin is 2024T6 aluminum.
2 65 A rectangular fin of type 347 stainless steel is 1 mm thick, 8 mm...
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...
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
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...
please show derivation of the nodal equations and how to create
the graphs.
A straight fin of uniform cross section is fabricated from a material of thermal conductivity 50 W/m*K, thickness w 6mm, and length L-48mm, and is very long in the direction normal to the page. The convection heat transfer coefficient is 500 W/m2 *K with the ambient air temperature of T-30C. The base of the fin is maintained at Tb = 100C, while the fin tip is will...
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.
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...
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