![QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means ba](http://img.homeworklib.com/questions/24d4ca30-47e5-11eb-8dfb-a9b96cb7a39f.png?x-oss-process=image/resize,w_560)
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QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L -...
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,...
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-...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a thermal conductivity of 133 w/m"C is attached to a base plate, which is at 200 oC. The fin is surrounded by a fluid at 20 ° C, and has a convection heat transfer coefficient of 30 W/(m2. c). 1.1 compute the temperature of the rod at 20 mm, 60 mm, and 100 mm points from the base 1.2 compute the total heat transfer rate...
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...
Consider two walls, each kept at constant temperature T. and joining them is an aluminum fin...
Consider two walls, each kept at constant temperature T. and joining them is an aluminum fin of length L. There is internal heat generation q in this fin. Air flows over the fin having convective heat transfer coefficient h and temperature T.. Prove that the efficiency of the fin can be given by tanh (mL/2) mL/2 where m2 P= perimeter of the fin, A = area of the fin cross-section, and k = thermal conductivity of the fin. n =...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a thermal conductivity of 133 w/m.oC is attached to a base plate, which is at 200 oC. The fin is surrounded by a fluid at 200 C, and has a convection heat transfer coefficient of 30 W/(m·℃). 1.1 compute the temperature of the rod at 20 mm, 60 mm, and 100 mm points from the base 1.2 compute the total heat transfer rate from the...
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 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,...
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-...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a thermal conductivity of 133 w/m"C is attached to a base plate, which is at 200 oC. The fin is surrounded by a fluid at 20 ° C, and has a convection heat transfer coefficient of 30 W/(m2. c). 1.1 compute the temperature of the rod at 20 mm, 60 mm, and 100 mm points from the base 1.2 compute the total heat transfer rate...
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...
Consider two walls, each kept at constant temperature T. and joining them is an aluminum fin of length L. There is internal heat generation q in this fin. Air flows over the fin having convective heat transfer coefficient h and temperature T.. Prove that the efficiency of the fin can be given by tanh (mL/2) mL/2 where m2 P= perimeter of the fin, A = area of the fin cross-section, and k = thermal conductivity of the fin. n =...
1. A fin with a diameter of 5 mm, a length of 100 mm, and a thermal conductivity of 133 w/m.oC is attached to a base plate, which is at 200 oC. The fin is surrounded by a fluid at 200 C, and has a convection heat transfer coefficient of 30 W/(m·℃). 1.1 compute the temperature of the rod at 20 mm, 60 mm, and 100 mm points from the base 1.2 compute the total heat transfer rate from 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...
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