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Question (1) (4 Points) In many industrial applications, fins are currently being used to increase the...
Problem 1 (20 marks): A 1-m x 1-m surface at 100 °C is to be cooled...
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...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 7...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 70 mm are attached to the wall with surface temperature o C. The fin is made of material with thermal conductivity of 210 W/mk, and exposed to an ambient air condition of 24 °C and the convection heat transfer coefficient of 190 W/m2k. f 300 1- Plot the temperature variation for the following boundary conditions a- Infinitely long fin b- Adiabatic fin tip c-...
Please show all work Turbine blade k-17 WIm-K p=11 cm, L = 53 cm Ac-5.13 cm...
Please show all work
Turbine blade k-17 WIm-K p=11 cm, L = 53 cm Ac-5.13 cm -T 450°C . A plane wall with surface temperature of 350°Cis at- tached with straight rectangular fins (k = 235 win-K). The fins are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base of 5 mm thick and a width of 100 mm. Determine the efficiency,...
please show all work, thanks 2. A hot surface at 100 °C needs to be cooled...
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?
4. An exothermic material is encased in a 1-m-long thin tubular sleeve. The material generates heat...
4. An exothermic material is encased in a 1-m-long thin tubular sleeve. The material generates heat at a steady rate of 4800 W/m. The thermal conductivity of the exothermic material is 22 W/mK. The radius of the tube is 30 cm, and you can neglect the thickness of the sleeve. Also assume the ends of the tube are perfectly insulated. (a) If the tube is exposed to air at 20°C, and if the convection coefficient between air and the tube...
One end of a long rod 3 cm in diameter is inserted into a furnace with 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...
with an array of circular cross-section fins is used to cool a central processing the to...
with an array of circular cross-section fins is used to cool a central processing the to ensure that the temperature of the CPU surface remains at Te-1000. is placed directly on the CPU with a special thermal paste. The associated contact resistance 8. (15 Marks) A heat sink unit (CPU) which dissipates a maximum of 1680 [W] in heat. The heat sink is l-pase T and is square in shape (WcrUry32 mm x 32mm). The temperature 25 C. The circular...
Cooling fins are used to increase the area available for heat transfer between metal walls and...
Cooling fins are used to increase the area available for heat
transfer between metal walls and poorly conducting fluids such as
gases. A rectangular fin is shown in the following figure.
To design a cooling fin and calculate the fin efficiency one
must first calculate the temperature profile in the fin.
If L>>B, no heat is lost from the end or from the edges,
and the heat flux at the surface is given by:
in which the convective heat transfer...
The upper surface of a 60-cm-thick solid plate (k = 237 W/m.K) is being cooled by...
The upper surface of a 60-cm-thick solid plate (k = 237 W/m.K) is being cooled by water with temperature of 20°C. The upper and lower surfaces of the solid plate maintained at constant temperatures of 60°C and 120°C, respectively. Given: The thermal conductivity of the solid plate is given as k = 237 W/ mK. (T..+) The thermal conductivity of water at the film temperature of T, = =(60°C + 20°C)/2 = 40°C is kfluid = 0.631 W/mK. 1. value...
blem 4 (20 pts) A square chip that is 12.7mm on a side has a maximum allowable chip operating temperature -75°C. To dissipate heat produced in the chip, a 4 x 4 array of copper (k-400 W/m.K) pin fins...
blem 4 (20 pts) A square chip that is 12.7mm on a side has a maximum allowable chip operating temperature -75°C. To dissipate heat produced in the chip, a 4 x 4 array of copper (k-400 W/m.K) pin fins is proposed to be etallurgically joined to the outer surface of the chip. The convection coefficient is h-250 W/m'K and ambient air mperature isTo-20°C. The pin fin dimeter is D,-1.5mm and length is L,-16mm. Assuming steady-state uniform chip temperature Te-75°C and...
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...
G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 70 mm are attached to the wall with surface temperature o C. The fin is made of material with thermal conductivity of 210 W/mk, and exposed to an ambient air condition of 24 °C and the convection heat transfer coefficient of 190 W/m2k. f 300 1- Plot the temperature variation for the following boundary conditions a- Infinitely long fin b- Adiabatic fin tip c-...
Please show all work
Turbine blade k-17 WIm-K p=11 cm, L = 53 cm Ac-5.13 cm -T 450°C . A plane wall with surface temperature of 350°Cis at- tached with straight rectangular fins (k = 235 win-K). The fins are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base of 5 mm thick and a width of 100 mm. Determine the efficiency,...
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?
4. An exothermic material is encased in a 1-m-long thin tubular sleeve. The material generates heat at a steady rate of 4800 W/m. The thermal conductivity of the exothermic material is 22 W/mK. The radius of the tube is 30 cm, and you can neglect the thickness of the sleeve. Also assume the ends of the tube are perfectly insulated. (a) If the tube is exposed to air at 20°C, and if the convection coefficient between air and the tube...
with an array of circular cross-section fins is used to cool a central processing the to ensure that the temperature of the CPU surface remains at Te-1000. is placed directly on the CPU with a special thermal paste. The associated contact resistance 8. (15 Marks) A heat sink unit (CPU) which dissipates a maximum of 1680 [W] in heat. The heat sink is l-pase T and is square in shape (WcrUry32 mm x 32mm). The temperature 25 C. The circular...
Cooling fins are used to increase the area available for heat
transfer between metal walls and poorly conducting fluids such as
gases. A rectangular fin is shown in the following figure.
To design a cooling fin and calculate the fin efficiency one
must first calculate the temperature profile in the fin.
If L>>B, no heat is lost from the end or from the edges,
and the heat flux at the surface is given by:
in which the convective heat transfer...
The upper surface of a 60-cm-thick solid plate (k = 237 W/m.K) is being cooled by water with temperature of 20°C. The upper and lower surfaces of the solid plate maintained at constant temperatures of 60°C and 120°C, respectively. Given: The thermal conductivity of the solid plate is given as k = 237 W/ mK. (T..+) The thermal conductivity of water at the film temperature of T, = =(60°C + 20°C)/2 = 40°C is kfluid = 0.631 W/mK. 1. value...
blem 4 (20 pts) A square chip that is 12.7mm on a side has a maximum allowable chip operating temperature -75°C. To dissipate heat produced in the chip, a 4 x 4 array of copper (k-400 W/m.K) pin fins is proposed to be etallurgically joined to the outer surface of the chip. The convection coefficient is h-250 W/m'K and ambient air mperature isTo-20°C. The pin fin dimeter is D,-1.5mm and length is L,-16mm. Assuming steady-state uniform chip temperature Te-75°C and...
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