For the composite wall idealized by the one-dimensional model shown in Figure P13-7, determine the interface temperatures. For element 1, let K = 5 W/(m - °C); for ele- ment 2, K = 10 W/(m - °C); and for element 3, K = 15 W/(m- °C). The left end has a constant temperature of 200°C and the right end has a constant temperature of 600°C. by using finite element method T- 200°C A=0.1 m? -T- 600°C
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- A superalloy gas turbine component was originally designed to operate at temperatures up to 760°C and exhibited a stress rupture life of 900 h under this operating condition. An updated design calls for a thermal barrier coating to be added to the same component to allow engine operation under the same conditions, but with an increase in reliability. If an increase in rupture life to 1800 h is desired, what temperature differential between the inside and outside of the component must be achieved by the addition of the TBC?Please provide step-by-step calculations, also draw the nodes showing temperatures l A rectangular cross-section bar is held in steady conditions at different temperatures on each of its 4 sides. There is no internal heat generation, and the material properties are constant in all directions at all temperatures. The cross section has an aspect ratio of 1.5, with its longest side measuring 2.5 m in the x direction. It is split into 4 nodes in the x direction and 3 nodes in the y direction. The node numbering starts from (1,1) in the bottom left hand corner. The temperatures of the faces are held constant as follows: left hand side = 428 K, right hand side = 506 K, top side = 367 K, and bottom side = 298 K. The initial guess for the temperature of the internal nodes is 301 K. Using the Jacobi method to iterate, complete the following sentences. a) The temperature of node (3,2) after the 2nd iteration is _____ K. b) The temperature of node (3,2) after the 3rd iteration is _____ K.Build a spreadsheet to do the step by step method for estimating the temperature of unprotected steel work exposed to the ASTM E119 Standard Fire. Assume a convective heat transfer coefficient of 25 W/m2K and an emissivity of 0.5. Assume the specific heat to remain constant at 600 J/kgK. Use a time step of 30 seconds and an ambient temperature of 20°C. Provide an Excel plot showing the curves of the fire and a steel member through a time of 60 minutes with F/V ratios of: a)25 m-1 b)100 m-1 c)200 m-1 d)300 m-1 Note your plot should contain 5 curves. One for the fire and one for each of the F/V values. Also on the spreadsheet, highlight in green, the cells identifying the temperature of the unprotected steel member with an F/V of 200m-1 at the following times: a)3 minutes b)10 minutes c)20 minutes d)50 minutes
- After the sinking of RMS Titanic, US operated the International Ice patrol with the purpose of monitoring the presence and movements of icebergs in the Atlantic and Arctic oceans. Once, they observed a unique tabular iceberg in a form of a rectangle (250 km x 50 km x 300 m). How many years would it take to melt the iceberg solely by heat from the sun if the ice absorbs a mean of 98 J/m2 -s, 12.5 hrs per day? Note: the exposed area for heating is 250 km x 50 km and the density is 920 kg/m3 . This is my solution.(Porosity). A dry rock weighs 240 grams and has a bulk density of 2.4 grams per cubic centimeter. When saturated with pure water at room temperature (T=25°C), it weighs 250 grams. At room temperature, specific volume of water is 1.00295 x10-3 m3/kg. Calculate the porosity of the sample. (Permeability). A cylindrical core sample of 1 cm length and 1 cm2 cross-section has upstream and downstream pressures of 2 atm and 1 atm, respectively, during steady state flow of water at 0.997 g/s at room temperature. Calculate the permeability of the core. Note: Water @ 25°C, viscosity = 1 cp, density of water = 0.997 g/cm3. SHOW SOLUTIONS PLSA wall consists of a layer of wood and a layer of cork insulation of the same thickness. The temperature inside is 34.0°C, and the temperature outside is 0.0°C. The thermal conductivity of wood is 0.130 W/(m·K) and the thermal conductivity of cork is 0.0460 W/(m·K). A) What is the temperature at the interface between the wood and the cork if the cork is on the inside and the wood on the outside? in C B) What is the temperature at the interface if the wood is on the inside and the cork is on the outside? in C C) It doesn’t matter whether the cork is placed on the inside or the outside of the wooden wall because the temperature at the interface differs for the two cases.the temperature at the interface differs for the two cases. the temperature at the interface is the same for the two cases.the temperature at the interface is the same for the two cases. the total thermal resistance is the same for the two cases.the total thermal resistance is the same for the two cases.…
- Solve this with diagram: An engine cover is made from 1 cm thick stainless steel plate (k = 14 W/m K). Air on the inside of the engine cover is heated to 340°C with a heat transfer coefficient of 7 W/m2K. Outside of the engine coverthe ambient air has a temperature of 70°C. If oil was spilled on the outside of the engine cover (ambient side), it could ignite if the surface temperature were to exceed 200°C. In this configuration, would spilled oil ignite? Use calculations to justify your answer. If a 4 mm thermal coating (k = 1.1 W/m K) was applied tothe outside of the engine, what would the outside temperature of the engine cover be reduced to? Solve it with resistors methodSolve this with diagram: An engine cover is made from 1 cm thick stainless steel plate (k = 14 W/m K). Air on the inside of the engine cover is heated to 340°C with a heat transfer coefficient of 7 W/m2K. Outside of the engine coverthe ambient air has a temperature of 70°C. If oil was spilled on the outside of the engine cover (ambient side), it could ignite if the surface temperature were to exceed 200°C. In this configuration, would spilled oil ignite? Use calculations to justify your answer. If a 4 mm thermal coating (k = 1.1 W/m K) was applied tothe outside of the engine, what would the outside temperature of the engine cover be reduced to?Based on heat capacity data (table below), which of the following materials are best suited to make cookware such as pans and pots? Material Heat Capacity (J/g oC) Iron 0.45 Cement 0.88 Granite 0.79 Wood 1.76
- Use FEM to calculate the temperature at nodes 2 and 3, and the heat at nodes 1 and 4. Assume A is one unit area.The cooling load for a house is determined in part by using the same formulaused to find the heat load. The temperature difference used in designing acooling system is 25°F. The corner room shown does not face the sun so noadditional cooling load is required. The windows are single pane, and thewalls are brick veneer with 31⁄2 inches of insulation (R-11). The ceiling has31⁄2 inches of insulation (R-11), and the floor has no insulation. The room isbuilt over a vented crawl space with a vented attic above it. Find the coolingload for this room.* Runner blanket = space blanket Thin square shape material : Mylar Weight : 0.2 lbs (85g) 32 layers are thickness 0.45mm (c) assume the inside surface temperature is 35oC and the outside surface is 15oC, calculate the heat loss rate in W/m2 through the blanket. Look up thermal conductivity values for the materials