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G4 Problem Statement: Circular fins of uniform cross section, with diameter of 14 mm and length 7...
Circular pipe of 23.9 mm OD and 1.5 mm wall thickness and length 90 mm is...
Circular pipe of 23.9 mm OD and 1.5 mm wall thickness and length 90 mm is used as a fin on a wall at 200°C. The outside is exposed to air at 35°C with a convection coefficient of 15 W/m2K. The conductivity of the material is 45 W/mK. Determine the heat loss from the fin and also the mid section and tip temperature.
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section...
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section (2mm x 2mm) and length L 30mm are used in a fin array to enhance heat transfer from a 40mm x 40mm surface that is maintained at Tb 170°C. There are a total of 100 fins, and the tip of the fins is maintained at 35°C. Air circulates over the fin array with a temperature of To = 15°C and a convection coefficient of...
Annular aluminum fins of rectangular profile are attached to a circular tube having an outside diameter...
Annular aluminum fins of rectangular profile are attached to a circular tube having an outside diameter of 50 mm and an outer surface temperature of 400°C. The fins are mm thick and 20 mm long. The system is in ambient air at a temperature of 20°C, and the surface convection coefficient is 40 W/ mK. (a) What are the fin efficiency and effectiveness? (b) If there are 125 such fins per meter of tube length, what is the rate of...
finite element method 2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat...
finite element method
2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat from a surface whose temperature is 150°C. The temperature of ambient air is 20°C. The thermal conductivity of aluminium is 168 W/m.K. The natural convective coefficient associated with the surrounding air is 35 W/m2.K. The fins are 150 mm long and the heat loss from the tip of the fin may be neglected. (a) Determine the temperature distribution along...
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...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity...
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity 25 W/m-K and thickness 60 mm. The wall is exposed to convection on both sides, with different heat transfer coefficients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown (L =20 mm) and thermal conductivity of 250 W/m-K. What is the maximum temperature that will occur in the wall? L tt-2 mm k=25...
Problem 3: Ordinary Differential Equations A straight fin of uniform rectangular cross section (0.5 mm x...
Problem 3: Ordinary Differential Equations A straight fin of uniform rectangular cross section (0.5 mm x 100 mm) with a length (L) of 5 cm is attached to a base surface of temperature 110°C (T). The surface of the fin is exposed to a cooling fluid at 20°C (T) with a convection heat transfer coefficient (h) of 15 W/(m²K). The conductivity (k) of the fin material is 400 W/(m.K). (a) Plot the temperature profile along the length of the fin,...
A rod of diameter D = 25 mm and thermal conductivity of 60 W/m K protrudes from a furnace with a wall temperature of 200°C.
A rod of diameter D = 25 mm and thermal conductivity of 60 W/m K protrudes from a furnace with a wall temperature of 200°C. The rod is welded to the furnace wall and is used as a hangar for instrumentation cables. To avoid damaging the cables, the surface temperature of last 100 mm of the rod must be kept below 100°C. The ambient air temperature is 25°C and the convection coefficient is 15 W/m2K. (a) Write the finite-difference equation for...
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...
Part 2 - Problems (75 marks) I. Copper fins (k 401 W/mK) of uniform square cross-section (2mm x 2mm) and length L 30mm are used in a fin array to enhance heat transfer from a 40mm x 40mm surface that is maintained at Tb 170°C. There are a total of 100 fins, and the tip of the fins is maintained at 35°C. Air circulates over the fin array with a temperature of To = 15°C and a convection coefficient of...
Annular aluminum fins of rectangular profile are attached to a circular tube having an outside diameter of 50 mm and an outer surface temperature of 400°C. The fins are mm thick and 20 mm long. The system is in ambient air at a temperature of 20°C, and the surface convection coefficient is 40 W/ mK. (a) What are the fin efficiency and effectiveness? (b) If there are 125 such fins per meter of tube length, what is the rate of...
finite element method
2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat from a surface whose temperature is 150°C. The temperature of ambient air is 20°C. The thermal conductivity of aluminium is 168 W/m.K. The natural convective coefficient associated with the surrounding air is 35 W/m2.K. The fins are 150 mm long and the heat loss from the tip of the fin may be neglected. (a) Determine the temperature distribution along...
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...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity 25 W/m-K and thickness 60 mm. The wall is exposed to convection on both sides, with different heat transfer coefficients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown (L =20 mm) and thermal conductivity of 250 W/m-K. What is the maximum temperature that will occur in the wall? L tt-2 mm k=25...
Problem 3: Ordinary Differential Equations A straight fin of uniform rectangular cross section (0.5 mm x 100 mm) with a length (L) of 5 cm is attached to a base surface of temperature 110°C (T). The surface of the fin is exposed to a cooling fluid at 20°C (T) with a convection heat transfer coefficient (h) of 15 W/(m²K). The conductivity (k) of the fin material is 400 W/(m.K). (a) Plot the temperature profile along the length of the fin,...
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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