please show derivation of the nodal equations and how to create the graphs.
please show derivation of the nodal equations and how to create the graphs. A straight fin...
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...
3.36 A straight rectangular fin of leneth L, thickness t and width W The upper surface being heated at a uniform flux q0.The heat transfer coefficient at the upper surface is hu and that of the lower surface is h. The ambient fluid teperature qo is To. At the base the heat transfer rate is o The two side surfaces and the tip are t insulated. Formulate the fin conduction equation and write the boundary conditions.
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...
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...
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 very long aluminum fin (k = 237W/m-K) fin, with the temperature at the end of the fin essentially that of the surrounding air. This fin has a diameter of lcm, and is attached to a surface at 80°C. The surface is exposed to ambient air at 22°C with a heat transfer coefficient of 15W/m2-K. Estimate: a) The fin temperature at a distance of 5cm from the base; b) The rate of heat loss from the entire fin; c) The effectiveness of...
A circular (annular) fin of radius r2 is attached to a pipe of radius 11. The fin is exposed to an ambient fluid at temperature T. having heat transfer coefficient h and the fin base is maintained at temperature Tb. The fin thickness (t) is small compared to the fin length and the heat loss from the fin tip can be considered negligible compared with that from the top and bottom surfaces of the fin. Derive the differential equation and...
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...