Which of the following is not a cause of energy loss in pipes? O Boundary friction O Changes in pipe diameter or geometry O The presence of control valves or fittings Pipe temperature
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- An aluminum pipe has a length of 64 m at a temperature of 15°C. An adjacent steel pipe at the same temperature is 2 mm longer. At what temperature will the aluminum pipe be 6 mm longer than the steel pipe? Assume that the coefficient of thermal expansion for the aluminum is 22.5x10-6/°C and that the coefficient of thermal expansion for the steel is 12.5x10-6/°C. Answer: T₁= i °℃An aluminum pipe has a length of 59 m at a temperature of 11°C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature (in degrees Celsius) will the aluminum pipe be 16 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are a, = 23 x 10-6/0C and as = 12 x 10-6/0C, respectively. Also assume that the temperature of both pipes change equally.) °CAn aluminum pipe has a length of 50 m at a temperature of 6°C. An adjacent steel pipe at the same temperature is 4 mm longer. At what temperature will the aluminum pipe be 12 mm longer than the steel pipe? Assume that the coefficient of thermal expansion for the aluminum is 22.5x106/°C and that the coefficient of thermal expansion for the steel is 12.5x10-6/°C. Answer: Tf = i °℃
- An aluminum pipe has a length of 52 m at a temperature of 6°C. An adjacent steel pipe at the same temperature is 8 mm longer. At what temperature will the aluminum pipe be 24 mm longer than the steel pipe? Assume that the coefficient of thermal expansion for the aluminum is 22.5x10-6/°C and that the coefficient of thermal expansion for the steel is 12.5×106/°C. Answer: °℃ Tf= iAn aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are a=23x10-6/°C and as-12x10-6/ c, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? 5 mm Aluminun Steel Figure No. 1Newton's Law of Cooling
- An aluminum pipe has a length of 53 m at a temperature of 7°C. An adjacent steel pipe at the same temperature is 7 mm longer. At what temperature will the aluminum pipe be 21 mm longer than the steel pipe? Assume that the coefficient of thermal expansion for the aluminum is 22.5x10-6/°C and that the coefficient of thermal expansion for the steel is 12.5×106/°C. Answer: Tf = i °C2. A 2-m long aluminum pipe at 27°C is heated until it is 2.0024 m at 77°C. What is the coefficient of linear expansion of aluminum? Complete FBD, FORMULA, AND SOLUTIONAn aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are ca=23x10-6/°C and as=12x10-6/°C, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? Aluminun Steel Figure No. 1 5 mm
- No. 1. (10 Pts) An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aa=23x10-6/"C and as=12x10-6/ c, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? 5 mm Aluminun Steel Figure No. 1An aluminum pipe has a length of 60 m at a temperature of 10° C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aAL=23x 10^-6°C and as=12x10^-6° C respectively)What temperature is required to obtain 0.4%C at a distance of 0.3 mm beneath the surface of a 0.22% C steel in 2h, when 1.1% C is present at the surface? Assume that the iron is FCC. (Please see figure 5.12 below for diffusion coefficient data. Please use your notes for a table of erf() function values Diffusion coefficient D (cm²/s) ܐ ܐ ܐ ܐ 10- 10-5 10- 10-10 10-11 10-12 10-13 10-14 10-15 Temperature (°C) 2000 1500 1200 1000 900 800 700 600 Cin graphite Mg in MgO Ca in Cao H in FCC iron C in FCC iron Fe in FCC iron Fe in BCC iron H in BCC iron C in BCC iron Fe in FeO 500 5 6 7 8 9 10 11 12 13 104 T(K) Figure 5-12 The diffusion coefficient D as a function of reciprocal temperature for some metals and ceramics. In this Arrhenius plot, D represents the rate of the diffusion process. A steep slope denotes a high activation energy.