A composite one-dimensional plane wall is of overall thickness 2L. Material A spans the domain
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- An artist working on a piece of metal in his forging studio plunges the hot metal into oil in order to harden it. The metal piece has a mass of 43.0 kg and its specific heat is 0.1027 kcal/(kg · °C). He uses 810 kg of oil at 35.0°C. The specific heat of oil is 0.7167 kcal/(kg · °C). Once the metal is immersed in the oil, the temperature reaches an equilibrium value of 41.0°C. How hot was the forged metal piece just before it was plunged into the oil? ____°Carrow_forwardState whether each of the statements are true or false: A. Sufficiently high tensile stress is required for fatigue crack propagation B. Sufficiently high compressive stress is required for fatigue crack propagation C. Fatigue requires sufficient variation in stress magnitude D. Fatigue requires no variation in stress magnitude E. A sufficient number of cycles is required to cause fatigue failure F. A single cycle of loading below the ultimate tensile strength is sufficient for fatigue failure G. Endurance limit implies finite life H. Fatigue limit implies finite life I. Fatigue limit implies infinite life J. Endurance limit implies infinite lifearrow_forwardNewton's Law of Cooling - Differential Equations The rate at which a body cools is proportional to the difference in temperature between the body and its surroundings. If a body in air at 0°C will cool from 200°C to 100°C in 40 minutes, how many more minutes will it take the body to cool from 100°C to 50°C?arrow_forward
- Some sections of the Alaska pipeline above ground are supported by vertical steel supports (k = 25 W/mK), which have a length of 1 m and a cross-sectional area of 0.05 m². Under normal operating conditions, the temperature variation along the length of the steel support is given by the expression T = 100 – 150x + 10x², where T and x have units of °C and m, respectively. Temperature variations in the cross-sectional area of the support are negligible. Evaluate the temperature and the heat conduction rate at the pipeline-support junction (x = 0) and at the support-soil interface (x = 1 m). Explain the difference in heat rates.arrow_forwardChoose the false statement? A) At very low values of Prandtl number, material has higher thermal conductivity compared to its momentum diffusivity B) None of the above C) We can express lumped capacitance relation as the combination of Biot and Fourier numbers D) If Biot number is less than 0.1, we can neglect thermal resistance in some direction E) We can calculate convective heat transfer coefficient from Nusselt numberarrow_forwardShape factor for a cylinder whose length equals its diameter is 1.5 B. 0.5 1.0 D. 2.0arrow_forward
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- The engineering constants for an orthotropic material are found to be E1= 27.579 GPa =0.2 G12=41.368 GPa E2=20.684 GPa =0.4 G23=48.263 GPa E3=21.374 GPa =0.6 G31=13.790 GPa Find the stiffness matrix [C] and the compliance matrix [S] for the preceding orthotropic material.arrow_forwardA steel pipe (outside diameter 100 mm) is covered with two layers of insulation. The inside layer, 40 mm thick, has a thermal conductivity of 0.07 W/(m K). The outside layer, 20 mm thick, has a thermal conductivity of 0.15 W/(m K). The pipe is used to convey steam at a pressure of 600 kPa. The outside temperature of insulation is 24°C. If the pipe is 10 m long, determine the following, assuming the resistance to conductive heat transfer in steel pipe and convective resistance on the steam side are negligible: a. The heat loss per hour. b. The interface temperature of insulation.arrow_forwardTwo large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.5° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.)arrow_forward
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