Determine the number of fins and overall fin efficiency using Figure 2.7. (c) Determine the total heat transfer through the heat pipe.
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- 2. 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 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 °CThe aluminum tube AB of cross section has a fixed support on the base and is supported by a pin at the top of a horizontal beam supporting a load Q = 200 kN. Determine the required thickness t of the tube if its outside diameter for 100 mm and the necessary safety factor in relation to Euler buckling for n = 3.0 (assuming A = 72 GPa). I know the answer, but I cannot understand the critical charge formula. I don't know why to use the constant 2.046 in the formula, can you please show me?
- An aluminum pipe has a length of 65 m at a temperature of 16°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 14 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are a, = 23 x 10-6/°C and a = 12 x 10-6/°C, respectively. Also assume that the temperature of both pipes change equally.) °CYou are designing a 4340 steel shaft that is going to be press fit into an 2014 T6 aluminum housing. The 4340 steel rod has the following properties: E =29 Mpsi, Sy =75 ksi, and the coefficient of thermal expansion (alpha) = 10.8 x 10-6 K^(-1). The 2014 T6 aluminum housing has the following properties: E =10.5 Mpsi, Sy =54 ksi, and the coefficient of thermal expansion (alpha) =23.1 x 10-6 K^(-1). The operating temperatures range from -30F to 400F. Which of the following statements are true? (Note: more than one statement could be true) There is a mismatch between the coefficients of thermal expansion between the steel and aluminum, which could lead to problems in the press fit at cold and high temperatures. The yield strength of the aluminum is less than that of steel, which means the aluminum will behave in a more rigid manner than the steel. The elastic modulus of steel is greater than that of aluminum, meaning that the aluminum will behave in a brittle manner while the steel will…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= i
- A capillary tube of diameter 2 mm is placed in a reservoir of water, and a similar capillary tube is placed in a reservoir of methanol. If both tubes are made of clean glass and the water-glass and methanol-glass contact angles are both approximately equal to 0°. Surface tension of water is 0.073 N/m. Surface tension and density of methanol are 0.0225 N/m and 791 kg/m3, respectively. 8.0 Determine the rise of methanol. a.) 7.4 mm b.) 5.8 mm c.) 14.9 mm d.) 2.9 mm e.) 9.0 Determine the rise of water. a.) 7.4 mm b.) 5.8 mm c.) 14.9 mm d.) 2.9 mm e.).EN.3060 - Transport Phet Consider the system shown below in which a rod is contained within a coaxial cylinder. The system is aligned vertically. The rod has a radius Ri and the outer cylinder has a radius of R2. The region between the rod and outer cylinder contains an incompressible Newtonian liquid that has a density p and viscosity u. The rod is being moved in the positive z-direction at a constant velocity V while the outer cylinder is stationary. Assume the liquid is in steady fully developed laminar flow and there is no pressure gradient acting on the liquid in the direction in which the rod is moving. (a) Write the simplified forms of the Continuity and Navier-Stokes Equations in cylindrical coordinates that will be used for solving for the velocity profile in the liquid. (b) Write the applicable boundary conditions that will be used to solve for the velocity profile. (c) Solve for the velocity profile v in terms of r, R1, R2, V, p, g and u. (d) Assume the rod has a radius RI=3…An aluminum pipe has a length of 75 m at a temperature of 18°C. An adjacent steel pipe at the same temperature is 0.005 m longer than the aluminum pipe. At what temperature (0C) will the aluminum pipe be 0.015 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aa = 23 x 10–6/°C and as = 12 x 10–6/°C, respectively.)
- 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 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. 1At a temperature of 80°C, a copper tire 12 mm thick and 90 mm wide that is to be shrunk onto a locomotive driving wheel 2 m in diameter just fits over the wheel, which is at a temperature of 25°C. Determine the contact pressure between the tire and wheel after the assembly cools to 25°C. Neglect the deformation of the wheel caused by the pressure of the tire.An aluminum pipe has a length of 69 m at a temperature of 8°C. An adjacent steel pipe at the same temperature is 5 mm longer. At what temperature will the aluminum pipe be 15 mm longer than the steel pipe? Assume that the coefficient of thermal expansion for the aluminum is 22.5×10-6/°C and that the coefficient of thermal expansion for the steel is 12.5×10-6/°C.